# Quizbank/University Physics Semester 2/T3

University Physics Semester 2/T3 ID153341821922

Exams:

78 Tests = 3 versions x 26 variations: Each of the 26 variations (A, B, ...) represents a different random selection of questions taken from the study guide.The 3 versions (0,1,..) all have the same questions but in different order and with different numerical inputs. Unless all students take version "0" it is best to reserve it for the instructor because the questions are grouped according to the order in which they appear on the study guide.

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### T3 A0

1) A 8 C charge is separated from a 12 C charge by distance of 9 cm. What is the work done by increasing this separation to 18 cm?

a) 3.274E-06 J
b) 3.601E-06 J
c) 3.961E-06 J
d) 4.358E-06 J
e) 4.793E-06 J

2) A 12.0 V battery can move 29,000 C of charge. How many Joules does it deliver?

a) 2.615E+05 J
b) 2.876E+05 J
c) 3.164E+05 J
d) 3.480E+05 J
e) 3.828E+05 J
3)
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.51 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.
a) 5.261E+02 V
b) 5.787E+02 V
c) 6.365E+02 V
d) 7.002E+02 V
e) 7.702E+02 V
4)
In the figure shown C1=17.7 μF, C2=2.5 μF, and C3=5.0 μF. The voltage source provides ε=12.8 V. What is the charge on C1?
a) 5.066E+01 μC
b) 5.573E+01 μC
c) 6.130E+01 μC
d) 6.743E+01 μC
e) 7.417E+01 μC

5) An empty parallel-plate capacitor with metal plates has an area of 2.04 m2, separated by 1.21 mm. How much charge does it store if the voltage is 7.730E+03 V?

a) 1.049E+02 μC
b) 1.154E+02 μC
c) 1.269E+02 μC
d) 1.396E+02 μC
e) 1.536E+02 μC

6) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

a) 1.81 J.
b) 2.08 J.
c) 2.39 J.
d) 2.75 J.
e) 3.16 J.

7) A 0.5 Farad capacitor is charged with 1.3 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

a) 3.71 kV/m.
b) 4.27 kV/m.
c) 4.91 kV/m.
d) 5.65 kV/m.
e) 6.5 kV/m.

8) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

a) 42.21 μC.
b) 48.54 μC.
c) 55.82 μC.
d) 64.19 μC.
e) 73.82 μC.

9) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

a) 4.4 x 10-6 volts
b) 6.6 x 10-6 volts
c) 9.9 x 10-6 volts
d) 1.5 x 10-5 volts
e) 2.2 x 10-5 volts

10) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?

a) 3.4 x 101 volts
b) 5.1 x 101 volts
c) 7.7 x 101 volts
d) 1.2 x 102 volts
e) 1.7 x 102 volts

#### T3 A1

1) A 7 C charge is separated from a 15 C charge by distance of 14 cm. What is the work done by increasing this separation to 20 cm?

a) 1.519E-06 J
b) 1.671E-06 J
c) 1.838E-06 J
d) 2.022E-06 J
e) 2.224E-06 J

2) What voltage is required accelerate an electron at rest to a speed of 5.6 x 104 m/s?

a) 5.9 x 10-3 volts
b) 8.9 x 10-3 volts
c) 1.3 x 10-2 volts
d) 2 x 10-2 volts
e) 3 x 10-2 volts
3)
In the figure shown C1=17.8 μF, C2=2.22 μF, and C3=5.71 μF. The voltage source provides ε=13.9 V. What is the charge on C1?
a) 7.625E+01 μC
b) 8.388E+01 μC
c) 9.227E+01 μC
d) 1.015E+02 μC
e) 1.116E+02 μC

4) The same parallel plate capacitor, with area 0.75 m2, plate separation 0.53mm, and an applied voltage of 3.55 kV. How much charge is stored?

a) 29.25 μC.
b) 33.63 μC.
c) 38.68 μC.
d) 44.48 μC.
e) 51.15 μC.

5) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

a) 1.57 kV/m.
b) 1.8 kV/m.
c) 2.07 kV/m.
d) 2.38 kV/m.
e) 2.74 kV/m.

6) An empty parallel-plate capacitor with metal plates has an area of 2.51 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.230E+03 V?

a) 2.351E+01 μC
b) 2.586E+01 μC
c) 2.844E+01 μC
d) 3.129E+01 μC
e) 3.442E+01 μC

7) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?

a) 4.200E+05 J
b) 4.620E+05 J
c) 5.082E+05 J
d) 5.590E+05 J
e) 6.149E+05 J
8)
A diploe has a charge magnitude of q=4 nC and a separation distance of d=3.79 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.2 cm, y=1.9 cm)? Note that following the textbook's example, the y-value of the field point at 1.9 cm matches the disance of the positive charge above the x-axis.
a) 2.731E+02 V
b) 3.004E+02 V
c) 3.304E+02 V
d) 3.634E+02 V
e) 3.998E+02 V

9) What voltage is required to stop a proton moving at a speed of 7.6 x 106 m/s?

a) 3 x 105 volts
b) 4.5 x 105 volts
c) 6.8 x 105 volts
d) 1 x 106 volts
e) 1.5 x 106 volts

10) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

a) 0.81 J.
b) 0.93 J.
c) 1.07 J.
d) 1.23 J.
e) 1.41 J.

#### T3 A2

1) What voltage is required accelerate an electron at rest to a speed of 5.5 x 105 m/s?

a) 2.5 x 10-1 volts
b) 3.8 x 10-1 volts
c) 5.7 x 10-1 volts
d) 8.6 x 10-1 volts
e) 1.3 x 100 volts

2) A 4 C charge is separated from a 10 C charge by distance of 10 cm. What is the work done by increasing this separation to 19 cm?

a) 1.548E-06 J
b) 1.703E-06 J
c) 1.873E-06 J
d) 2.061E-06 J
e) 2.267E-06 J
3)
In the figure shown C1=19.0 μF, C2=2.35 μF, and C3=5.22 μF. The voltage source provides ε=6.01 V. What is the charge on C1?
a) 2.444E+01 μC
b) 2.689E+01 μC
c) 2.958E+01 μC
d) 3.253E+01 μC
e) 3.579E+01 μC

4) The same parallel plate capacitor, with area 0.75 m2, plate separation 1.53mm, and an applied voltage of 5.05 kV. How much charge is stored?

a) 16.57 μC.
b) 19.06 μC.
c) 21.92 μC.
d) 25.21 μC.
e) 28.99 μC.

5) An empty parallel-plate capacitor with metal plates has an area of 1.94 m2, separated by 1.36 mm. How much charge does it store if the voltage is 8.530E+03 V?

a) 7.359E+01 μC
b) 8.094E+01 μC
c) 8.904E+01 μC
d) 9.794E+01 μC
e) 1.077E+02 μC

6) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

a) 2.3 x 105 volts
b) 3.4 x 105 volts
c) 5.1 x 105 volts
d) 7.7 x 105 volts
e) 1.2 x 106 volts

7) A 12.0 V battery can move 38,000 C of charge. How many Joules does it deliver?

a) 3.115E+05 J
b) 3.426E+05 J
c) 3.769E+05 J
d) 4.145E+05 J
e) 4.560E+05 J

8) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

a) 1.81 J.
b) 2.08 J.
c) 2.39 J.
d) 2.75 J.
e) 3.16 J.
9)
A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.
a) 4.104E+02 V
b) 4.514E+02 V
c) 4.965E+02 V
d) 5.462E+02 V
e) 6.008E+02 V

10) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

a) 1.57 kV/m.
b) 1.8 kV/m.
c) 2.07 kV/m.
d) 2.38 kV/m.
e) 2.74 kV/m.

### T3 B0

1) A 2 C charge is separated from a 6 C charge by distance of 13 cm. What is the work done by increasing this separation to 16 cm?

a) 1.556E-07 J
b) 1.711E-07 J
c) 1.882E-07 J
d) 2.070E-07 J
e) 2.277E-07 J
2)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=3 μC, q2=5 μC, q3=7 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.998E+01 J
b) 6.598E+01 J
c) 7.257E+01 J
d) 7.983E+01 J
e) 8.781E+01 J
3)
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.51 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.
a) 5.261E+02 V
b) 5.787E+02 V
c) 6.365E+02 V
d) 7.002E+02 V
e) 7.702E+02 V
4)
In the figure shown C1=15.4 μF, C2=2.83 μF, and C3=4.99 μF. The voltage source provides ε=6.51 V. What is the charge on C1?
a) 2.306E+01 μC
b) 2.537E+01 μC
c) 2.790E+01 μC
d) 3.069E+01 μC
e) 3.376E+01 μC
5)
What is the net capacitance if C1=3.54 μF, C2=3.53 μF, and C3=3.65 μF in the configuration shown?
a) 3.700E+00 μF
b) 4.070E+00 μF
c) 4.477E+00 μF
d) 4.925E+00 μF
e) 5.417E+00 μF

6) A 0.9 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

a) 2.68 kV/m.
b) 3.08 kV/m.
c) 3.54 kV/m.
d) 4.07 kV/m.
e) 4.69 kV/m.

7) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

a) 3.28 nF.
b) 3.77 nF.
c) 4.34 nF.
d) 4.99 nF.
e) 5.74 nF.

8) The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

a) 23.91 μC.
b) 27.5 μC.
c) 31.62 μC.
d) 36.37 μC.
e) 41.82 μC.

9) How fast is a 2928 eV electron moving?

a) 6.3 x 106 m/s.
b) 9.5 x 106 m/s.
c) 1.4 x 107 m/s.
d) 2.1 x 107 m/s.
e) 3.2 x 107 m/s.

10) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

a) 1.7 x 10-1 volts
b) 2.6 x 10-1 volts
c) 3.8 x 10-1 volts
d) 5.8 x 10-1 volts
e) 8.6 x 10-1 volts

#### T3 B1

1) A 4 C charge is separated from a 10 C charge by distance of 10 cm. What is the work done by increasing this separation to 19 cm?

a) 1.548E-06 J
b) 1.703E-06 J
c) 1.873E-06 J
d) 2.061E-06 J
e) 2.267E-06 J

2) The same parallel plate capacitor, with area 0.75 m2, plate separation 1.53mm, and an applied voltage of 5.05 kV. How much charge is stored?

a) 16.57 μC.
b) 19.06 μC.
c) 21.92 μC.
d) 25.21 μC.
e) 28.99 μC.
3)
What is the net capacitance if C1=2.24 μF, C2=4.86 μF, and C3=3.64 μF in the configuration shown?
a) 4.275E+00 μF
b) 4.703E+00 μF
c) 5.173E+00 μF
d) 5.691E+00 μF
e) 6.260E+00 μF
4)
In the figure shown C1=17.7 μF, C2=2.5 μF, and C3=5.0 μF. The voltage source provides ε=12.8 V. What is the charge on C1?
a) 5.066E+01 μC
b) 5.573E+01 μC
c) 6.130E+01 μC
d) 6.743E+01 μC
e) 7.417E+01 μC

5) How fast is a 2672 eV electron moving?

a) 6.1 x 106 m/s.
b) 9.1 x 106 m/s.
c) 1.4 x 107 m/s.
d) 2 x 107 m/s.
e) 3.1 x 107 m/s.
6)
Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.) The charges are q1=4 μC, q2=7 μC, q3=10 μC, and q4=12 μC. How much work was required to assemble these four charges from infinity?
a) 1.194E+02 J
b) 1.314E+02 J
c) 1.445E+02 J
d) 1.589E+02 J
e) 1.748E+02 J

7) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

a) 4.4 x 10-6 volts
b) 6.6 x 10-6 volts
c) 9.9 x 10-6 volts
d) 1.5 x 10-5 volts
e) 2.2 x 10-5 volts
8)
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.39 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.56 cm, y=2.19 cm)? Note that following the textbook's example, the y-value of the field point at 2.19 cm matches the disance of the positive charge above the x-axis.
a) 3.852E+02 V
b) 4.238E+02 V
c) 4.661E+02 V
d) 5.127E+02 V
e) 5.640E+02 V

9) A parallel plate capacitor has both plates with an area of 0.55 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 4.25 kV. What is the capacitance?

a) 6.95 nF.
b) 7.99 nF.
c) 9.19 nF.
d) 10.57 nF.
e) 12.15 nF.

10) A 0.5 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

a) 3.46 kV/m.
b) 3.98 kV/m.
c) 4.57 kV/m.
d) 5.26 kV/m.
e) 6.05 kV/m.

#### T3 B2

1) How fast is a 2952 eV electron moving?

a) 6.4 x 106 m/s.
b) 9.5 x 106 m/s.
c) 1.4 x 107 m/s.
d) 2.1 x 107 m/s.
e) 3.2 x 107 m/s.
2)
What is the net capacitance if C1=3.54 μF, C2=3.53 μF, and C3=3.65 μF in the configuration shown?
a) 3.700E+00 μF
b) 4.070E+00 μF
c) 4.477E+00 μF
d) 4.925E+00 μF
e) 5.417E+00 μF
3)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 7.982E+01 J
b) 8.780E+01 J
c) 9.658E+01 J
d) 1.062E+02 J
e) 1.169E+02 J

4) A 0.9 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

a) 2.68 kV/m.
b) 3.08 kV/m.
c) 3.54 kV/m.
d) 4.07 kV/m.
e) 4.69 kV/m.

5) A 7 C charge is separated from a 12 C charge by distance of 11 cm. What is the work done by increasing this separation to 19 cm?

a) 2.890E-06 J
b) 3.179E-06 J
c) 3.497E-06 J
d) 3.846E-06 J
e) 4.231E-06 J

6) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

a) 42.21 μC.
b) 48.54 μC.
c) 55.82 μC.
d) 64.19 μC.
e) 73.82 μC.

7) What voltage is required accelerate an electron at rest to a speed of 1.5 x 103 m/s?

a) 1.9 x 10-6 volts
b) 2.8 x 10-6 volts
c) 4.3 x 10-6 volts
d) 6.4 x 10-6 volts
e) 9.6 x 10-6 volts
8)
A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.
a) 4.590E+02 V
b) 5.049E+02 V
c) 5.554E+02 V
d) 6.109E+02 V
e) 6.720E+02 V

9) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 3.55 kV. What is the capacitance?

a) 7.16 nF.
b) 8.24 nF.
c) 9.47 nF.
d) 10.9 nF.
e) 12.53 nF.
10)
In the figure shown C1=19.9 μF, C2=2.25 μF, and C3=4.75 μF. The voltage source provides ε=6.93 V. What is the charge on C1?
a) 2.451E+01 μC
b) 2.696E+01 μC
c) 2.966E+01 μC
d) 3.262E+01 μC
e) 3.589E+01 μC

### T3 C0

1) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?

a) 3.570E+05 J
b) 3.927E+05 J
c) 4.320E+05 J
d) 4.752E+05 J
e) 5.227E+05 J
2)
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.08 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.16 cm, y=2.04 cm)? Note that following the textbook's example, the y-value of the field point at 2.04 cm matches the disance of the positive charge above the x-axis.
a) 7.017E+02 V
b) 7.718E+02 V
c) 8.490E+02 V
d) 9.339E+02 V
e) 1.027E+03 V

3) When a 3.8 V battery operates a 1.67 W bulb, how many electrons pass through it each second?

a) 1.873E+18 electrons
b) 2.061E+18 electrons
c) 2.267E+18 electrons
d) 2.494E+18 electrons
e) 2.743E+18 electrons
4)
What is the net capacitance if C1=2.96 μF, C2=3.95 μF, and C3=3.74 μF in the configuration shown?
a) 4.489E+00 μF
b) 4.938E+00 μF
c) 5.432E+00 μF
d) 5.975E+00 μF
e) 6.573E+00 μF
5)
In the figure shown C1=18.2 μF, C2=2.44 μF, and C3=5.0 μF. The voltage source provides ε=7.78 V. What is the energy stored in C2?
a) 1.225E+01 μJ
b) 1.347E+01 μJ
c) 1.482E+01 μJ
d) 1.630E+01 μJ
e) 1.793E+01 μJ

6) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 2.55 kV. What is the capacitance?

a) 8.39 nF.
b) 9.65 nF.
c) 11.1 nF.
d) 12.76 nF.
e) 14.68 nF.

7) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

a) 2.23 J.
b) 2.56 J.
c) 2.94 J.
d) 3.39 J.
e) 3.89 J.

8) The same parallel plate capacitor, with area 1.45 m2, plate separation 1.53mm, and an applied voltage of 2.55 kV. How much charge is stored?

a) 12.23 μC.
b) 14.07 μC.
c) 16.18 μC.
d) 18.61 μC.
e) 21.4 μC.

9) A proton is accellerated (at rest) from a plate held at 4.7 volts to a plate at zero volts. What is the final speed?

a) 5.9 x 103 m/s.
b) 8.9 x 103 m/s.
c) 1.3 x 104 m/s.
d) 2 x 104 m/s.
e) 3 x 104 m/s.

10) How fast is a 2663 eV electron moving?

a) 3.1 x 107 m/s.
b) 4.6 x 107 m/s.
c) 6.9 x 107 m/s.
d) 1 x 108 m/s.
e) 1.5 x 108 m/s.

#### T3 C1

1)
In the figure shown C1=16.1 μF, C2=2.14 μF, and C3=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C2?
a) 1.199E+01 μJ
b) 1.319E+01 μJ
c) 1.450E+01 μJ
d) 1.595E+01 μJ
e) 1.755E+01 μJ

2) A 12.0 V battery can move 49,000 C of charge. How many Joules does it deliver?

a) 5.880E+05 J
b) 6.468E+05 J
c) 7.115E+05 J
d) 7.826E+05 J
e) 8.609E+05 J
3)
What is the net capacitance if C1=4.55 μF, C2=4.39 μF, and C3=3.32 μF in the configuration shown?
a) 4.173E+00 μF
b) 4.590E+00 μF
c) 5.049E+00 μF
d) 5.554E+00 μF
e) 6.110E+00 μF

4) A proton is accellerated (at rest) from a plate held at 767.8 volts to a plate at zero volts. What is the final speed?

a) 1.1 x 105 m/s.
b) 1.7 x 105 m/s.
c) 2.6 x 105 m/s.
d) 3.8 x 105 m/s.
e) 5.8 x 105 m/s.

5) How fast is a 2493 eV electron moving?

a) 1.3 x 107 m/s.
b) 2 x 107 m/s.
c) 3 x 107 m/s.
d) 4.4 x 107 m/s.
e) 6.7 x 107 m/s.

6) When a 4.63 V battery operates a 2.26 W bulb, how many electrons pass through it each second?

a) 2.770E+18 electrons
b) 3.047E+18 electrons
c) 3.351E+18 electrons
d) 3.686E+18 electrons
e) 4.055E+18 electrons
7)
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.09 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.45 cm, y=2.04 cm)? Note that following the textbook's example, the y-value of the field point at 2.04 cm matches the disance of the positive charge above the x-axis.
a) 3.814E+02 V
b) 4.195E+02 V
c) 4.615E+02 V
d) 5.077E+02 V
e) 5.584E+02 V

8) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 0.38 J.
b) 0.43 J.
c) 0.5 J.
d) 0.57 J.
e) 0.66 J.

9) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

a) 3.28 nF.
b) 3.77 nF.
c) 4.34 nF.
d) 4.99 nF.
e) 5.74 nF.

10) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

a) 42.21 μC.
b) 48.54 μC.
c) 55.82 μC.
d) 64.19 μC.
e) 73.82 μC.

#### T3 C2

1) A proton is accellerated (at rest) from a plate held at 318.6 volts to a plate at zero volts. What is the final speed?

a) 1.6 x 105 m/s.
b) 2.5 x 105 m/s.
c) 3.7 x 105 m/s.
d) 5.6 x 105 m/s.
e) 8.3 x 105 m/s.

2) When a 2.76 V battery operates a 2.71 W bulb, how many electrons pass through it each second?

a) 5.571E+18 electrons
b) 6.128E+18 electrons
c) 6.741E+18 electrons
d) 7.415E+18 electrons
e) 8.157E+18 electrons

3) How fast is a 2493 eV electron moving?

a) 1.3 x 107 m/s.
b) 2 x 107 m/s.
c) 3 x 107 m/s.
d) 4.4 x 107 m/s.
e) 6.7 x 107 m/s.
4)
A diploe has a charge magnitude of q=4 nC and a separation distance of d=3.79 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.2 cm, y=1.9 cm)? Note that following the textbook's example, the y-value of the field point at 1.9 cm matches the disance of the positive charge above the x-axis.
a) 2.731E+02 V
b) 3.004E+02 V
c) 3.304E+02 V
d) 3.634E+02 V
e) 3.998E+02 V
5)
What is the net capacitance if C1=4.13 μF, C2=3.56 μF, and C3=3.57 μF in the configuration shown?
a) 5.482E+00 μF
b) 6.030E+00 μF
c) 6.633E+00 μF
d) 7.296E+00 μF
e) 8.026E+00 μF
6)
In the figure shown C1=20.7 μF, C2=2.79 μF, and C3=5.18 μF. The voltage source provides ε=15.0 V. What is the energy stored in C2?
a) 2.064E+01 μJ
b) 2.270E+01 μJ
c) 2.497E+01 μJ
d) 2.747E+01 μJ
e) 3.022E+01 μJ

7) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

a) 0.81 J.
b) 0.93 J.
c) 1.07 J.
d) 1.23 J.
e) 1.41 J.

8) A 12.0 V battery can move 38,000 C of charge. How many Joules does it deliver?

a) 3.115E+05 J
b) 3.426E+05 J
c) 3.769E+05 J
d) 4.145E+05 J
e) 4.560E+05 J

9) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 0.93mm. Applied to the plates is a potential difference of 4.45 kV. What is the capacitance?

a) 12 nF.
b) 13.8 nF.
c) 15.88 nF.
d) 18.26 nF.
e) 21 nF.

10) The same parallel plate capacitor, with area 1.45 m2, plate separation 1.53mm, and an applied voltage of 2.55 kV. How much charge is stored?

a) 12.23 μC.
b) 14.07 μC.
c) 16.18 μC.
d) 18.61 μC.
e) 21.4 μC.

### T3 D0

1) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x2 + y2 + z2 = R2, where R=

a) 1.422E+00 m
b) 1.564E+00 m
c) 1.720E+00 m
d) 1.892E+00 m
e) 2.081E+00 m

2) Assume that a 26 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (13 cm, 42°).

a) 7.263E+02 V
b) 7.989E+02 V
c) 8.788E+02 V
d) 9.667E+02 V
e) 1.063E+03 V

3) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?

a) 9.521E-01 mm
b) 1.095E+00 mm
c) 1.259E+00 mm
d) 1.448E+00 mm
e) 1.665E+00 mm
4)
What is the net capacitance if C1=4.12 μF, C2=3.45 μF, and C3=3.41 μF in the configuration shown?
a) 4.370E+00 μF
b) 4.807E+00 μF
c) 5.288E+00 μF
d) 5.816E+00 μF
e) 6.398E+00 μF

5) An empty parallel-plate capacitor with metal plates has an area of 1.81 m2, separated by 1.26 mm. How much charge does it store if the voltage is 4.610E+03 V?

a) 4.005E+01 μC
b) 4.405E+01 μC
c) 4.846E+01 μC
d) 5.330E+01 μC
e) 5.864E+01 μC

6) A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

a) 3.2 kV/m.
b) 3.68 kV/m.
c) 4.24 kV/m.
d) 4.87 kV/m.
e) 5.6 kV/m.

7) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

a) 3180 N.
b) 3657 N.
c) 4206 N.
d) 4837 N.
e) 5562 N.

8) The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

a) 23.91 μC.
b) 27.5 μC.
c) 31.62 μC.
d) 36.37 μC.
e) 41.82 μC.

9) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

a) 1.7 x 10-1 volts
b) 2.6 x 10-1 volts
c) 3.8 x 10-1 volts
d) 5.8 x 10-1 volts
e) 8.6 x 10-1 volts

10) How fast is a 2663 eV electron moving?

a) 3.1 x 107 m/s.
b) 4.6 x 107 m/s.
c) 6.9 x 107 m/s.
d) 1 x 108 m/s.
e) 1.5 x 108 m/s.

#### T3 D1

1) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=26 V is x2 + y2 + z2 = R2, where R=

a) 3.636E+00 m
b) 4.000E+00 m
c) 4.399E+00 m
d) 4.839E+00 m
e) 5.323E+00 m

2) The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

a) 40.39 μC.
b) 46.45 μC.
c) 53.42 μC.
d) 61.43 μC.
e) 70.65 μC.

3) What voltage is required accelerate an electron at rest to a speed of 1.7 x 105 m/s?

a) 1.6 x 10-2 volts
b) 2.4 x 10-2 volts
c) 3.7 x 10-2 volts
d) 5.5 x 10-2 volts
e) 8.2 x 10-2 volts
4)
What is the net capacitance if C1=2.3 μF, C2=2.84 μF, and C3=3.41 μF in the configuration shown?
a) 4.255E+00 μF
b) 4.681E+00 μF
c) 5.149E+00 μF
d) 5.664E+00 μF
e) 6.230E+00 μF

5) How fast is a 2952 eV electron moving?

a) 6.4 x 106 m/s.
b) 9.5 x 106 m/s.
c) 1.4 x 107 m/s.
d) 2.1 x 107 m/s.
e) 3.2 x 107 m/s.

6) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 1473 N.
b) 1694 N.
c) 1948 N.
d) 2241 N.
e) 2577 N.

7) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

a) 1.91 kV/m.
b) 2.19 kV/m.
c) 2.52 kV/m.
d) 2.9 kV/m.
e) 3.33 kV/m.

8) An empty parallel-plate capacitor with metal plates has an area of 2.45 m2, separated by 1.18 mm. How much charge does it store if the voltage is 4.060E+03 V?

a) 5.608E+01 μC
b) 6.168E+01 μC
c) 6.785E+01 μC
d) 7.464E+01 μC
e) 8.210E+01 μC

9) Assume that a 5 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (13 cm, 31°).

a) 1.397E+02 V
b) 1.536E+02 V
c) 1.690E+02 V
d) 1.859E+02 V
e) 2.045E+02 V

10) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?

a) 9.521E-01 mm
b) 1.095E+00 mm
c) 1.259E+00 mm
d) 1.448E+00 mm
e) 1.665E+00 mm

#### T3 D2

1)
What is the net capacitance if C1=2.3 μF, C2=2.84 μF, and C3=3.41 μF in the configuration shown?
a) 4.255E+00 μF
b) 4.681E+00 μF
c) 5.149E+00 μF
d) 5.664E+00 μF
e) 6.230E+00 μF

2) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.6 mm apart?

a) 412 N.
b) 474 N.
c) 545 N.
d) 626 N.
e) 720 N.

3) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=

a) 1.598E+00 m
b) 1.757E+00 m
c) 1.933E+00 m
d) 2.127E+00 m
e) 2.339E+00 m

4) The same parallel plate capacitor, with area 0.75 m2, plate separation 0.53mm, and an applied voltage of 3.55 kV. How much charge is stored?

a) 29.25 μC.
b) 33.63 μC.
c) 38.68 μC.
d) 44.48 μC.
e) 51.15 μC.

5) An empty parallel-plate capacitor with metal plates has an area of 1.94 m2, separated by 1.36 mm. How much charge does it store if the voltage is 8.530E+03 V?

a) 7.359E+01 μC
b) 8.094E+01 μC
c) 8.904E+01 μC
d) 9.794E+01 μC
e) 1.077E+02 μC

6) A 1.4 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

a) 0.86 kV/m.
b) 0.99 kV/m.
c) 1.14 kV/m.
d) 1.31 kV/m.
e) 1.51 kV/m.

7) Assume that a 3 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (6 cm, 0°) and P2 is at (12 cm, 32°).

a) 1.857E+02 V
b) 2.043E+02 V
c) 2.247E+02 V
d) 2.472E+02 V
e) 2.719E+02 V

8) How fast is a 2355 eV electron moving?

a) 1.9 x 107 m/s.
b) 2.9 x 107 m/s.
c) 4.3 x 107 m/s.
d) 6.5 x 107 m/s.
e) 9.7 x 107 m/s.

9) Two large parallel conducting plates are separated by 7.42 mm. Equal and opposite surface charges of 7.760E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?

a) 3.979E-01 mm
b) 4.576E-01 mm
c) 5.263E-01 mm
d) 6.052E-01 mm
e) 6.960E-01 mm

10) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?

a) 3.2 x 103 volts
b) 4.9 x 103 volts
c) 7.3 x 103 volts
d) 1.1 x 104 volts
e) 1.6 x 104 volts

### T3 E0

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 46 V.

a) 3.022E+06 m/s
b) 3.324E+06 m/s
c) 3.657E+06 m/s
d) 4.023E+06 m/s
e) 4.425E+06 m/s
2)
An electron gun has parallel plates separated by 3.39 cm and gives electrons 57 keV of energy. What force would the field between the plates exert on a 0.218 μC charge that gets between the plates?
a) 3.029E-01 N
b) 3.332E-01 N
c) 3.665E-01 N
d) 4.032E-01 N
e) 4.435E-01 N

3) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (16 cm, 71°).

a) 1.969E+02 V
b) 2.166E+02 V
c) 2.383E+02 V
d) 2.621E+02 V
e) 2.884E+02 V

4) An empty parallel-plate capacitor with metal plates has an area of 1.94 m2, separated by 1.27 mm. How much charge does it store if the voltage is 8.780E+03 V?

a) 1.080E+02 μC
b) 1.188E+02 μC
c) 1.306E+02 μC
d) 1.437E+02 μC
e) 1.581E+02 μC
5)
In the figure shown C1=18.2 μF, C2=2.44 μF, and C3=5.0 μF. The voltage source provides ε=7.78 V. What is the energy stored in C2?
a) 1.225E+01 μJ
b) 1.347E+01 μJ
c) 1.482E+01 μJ
d) 1.630E+01 μJ
e) 1.793E+01 μJ

6) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 3.55 kV. What is the capacitance?

a) 7.16 nF.
b) 8.24 nF.
c) 9.47 nF.
d) 10.9 nF.
e) 12.53 nF.

7) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

a) 0.91 J.
b) 1.05 J.
c) 1.21 J.
d) 1.39 J.
e) 1.6 J.

8) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

a) 2319 N.
b) 2667 N.
c) 3067 N.
d) 3527 N.
e) 4056 N.

9) A proton is accelerated (at rest) from a plate held at 333.6 volts to a plate at zero volts. What is the final speed?

a) 1.1 x 105 m/s.
b) 1.7 x 105 m/s.
c) 2.5 x 105 m/s.
d) 3.8 x 105 m/s.
e) 5.7 x 105 m/s.

10) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

a) 4.4 x 10-6 volts
b) 6.6 x 10-6 volts
c) 9.9 x 10-6 volts
d) 1.5 x 10-5 volts
e) 2.2 x 10-5 volts

#### T3 E1

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.

a) 1.942E+06 m/s
b) 2.137E+06 m/s
c) 2.350E+06 m/s
d) 2.585E+06 m/s
e) 2.844E+06 m/s

2) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

a) 0.81 J.
b) 0.93 J.
c) 1.07 J.
d) 1.23 J.
e) 1.41 J.

3) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

a) 1.7 x 10-1 volts
b) 2.6 x 10-1 volts
c) 3.8 x 10-1 volts
d) 5.8 x 10-1 volts
e) 8.6 x 10-1 volts
4)
An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 μC charge that gets between the plates?
a) 8.430E-01 N
b) 9.273E-01 N
c) 1.020E+00 N
d) 1.122E+00 N
e) 1.234E+00 N

5) Assume that a 25 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (5 cm, 0°) and P2 is at (13 cm, 70°).

a) 2.285E+03 V
b) 2.514E+03 V
c) 2.765E+03 V
d) 3.042E+03 V
e) 3.346E+03 V

6) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.6 mm apart?

a) 412 N.
b) 474 N.
c) 545 N.
d) 626 N.
e) 720 N.

7) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

a) 3.28 nF.
b) 3.77 nF.
c) 4.34 nF.
d) 4.99 nF.
e) 5.74 nF.

8) An empty parallel-plate capacitor with metal plates has an area of 2.51 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.230E+03 V?

a) 2.351E+01 μC
b) 2.586E+01 μC
c) 2.844E+01 μC
d) 3.129E+01 μC
e) 3.442E+01 μC
9)
In the figure shown C1=17.2 μF, C2=2.71 μF, and C3=5.28 μF. The voltage source provides ε=13.2 V. What is the energy stored in C2?
a) 2.443E+01 μJ
b) 2.687E+01 μJ
c) 2.955E+01 μJ
d) 3.251E+01 μJ
e) 3.576E+01 μJ

10) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

a) 3.9 x 104 m/s.
b) 5.8 x 104 m/s.
c) 8.7 x 104 m/s.
d) 1.3 x 105 m/s.
e) 2 x 105 m/s.

#### T3 E2

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.

a) 3.617E+06 m/s
b) 3.979E+06 m/s
c) 4.376E+06 m/s
d) 4.814E+06 m/s
e) 5.296E+06 m/s

2) Assume that a 23 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (7 cm, 0°) and P2 is at (13 cm, 18°).

a) 1.024E+03 V
b) 1.126E+03 V
c) 1.239E+03 V
d) 1.363E+03 V
e) 1.499E+03 V

3) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the force between the plates if they are 0.6 mm apart?

a) 2381 N.
b) 2738 N.
c) 3149 N.
d) 3621 N.
e) 4164 N.

4) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

a) 3.28 nF.
b) 3.77 nF.
c) 4.34 nF.
d) 4.99 nF.
e) 5.74 nF.

5) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

a) 0.44 J.
b) 0.51 J.
c) 0.58 J.
d) 0.67 J.
e) 0.77 J.

6) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

a) 3.9 x 104 m/s.
b) 5.8 x 104 m/s.
c) 8.7 x 104 m/s.
d) 1.3 x 105 m/s.
e) 2 x 105 m/s.
7)
In the figure shown C1=18.7 μF, C2=2.15 μF, and C3=4.88 μF. The voltage source provides ε=11.9 V. What is the energy stored in C2?
a) 1.270E+01 μJ
b) 1.397E+01 μJ
c) 1.537E+01 μJ
d) 1.690E+01 μJ
e) 1.859E+01 μJ

8) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

a) 1.7 x 10-1 volts
b) 2.6 x 10-1 volts
c) 3.8 x 10-1 volts
d) 5.8 x 10-1 volts
e) 8.6 x 10-1 volts

9) An empty parallel-plate capacitor with metal plates has an area of 2.59 m2, separated by 1.23 mm. How much charge does it store if the voltage is 2.200E+03 V?

a) 3.082E+01 μC
b) 3.390E+01 μC
c) 3.729E+01 μC
d) 4.102E+01 μC
e) 4.512E+01 μC
10)
An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 μC charge that gets between the plates?
a) 3.977E-01 N
b) 4.374E-01 N
c) 4.812E-01 N
d) 5.293E-01 N
e) 5.822E-01 N

### T3 F0

1) Assume that a 17 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (12 cm, 15°).

a) 4.244E+02 V
b) 4.669E+02 V
c) 5.135E+02 V
d) 5.649E+02 V
e) 6.214E+02 V

2) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.

a) 1.942E+06 m/s
b) 2.137E+06 m/s
c) 2.350E+06 m/s
d) 2.585E+06 m/s
e) 2.844E+06 m/s

3) A 12.0 V battery can move 27,000 C of charge. How many Joules does it deliver?

a) 2.213E+05 J
b) 2.434E+05 J
c) 2.678E+05 J
d) 2.945E+05 J
e) 3.240E+05 J

4) An empty parallel-plate capacitor with metal plates has an area of 2.1 m2, separated by 1.13 mm. How much charge does it store if the voltage is 1.680E+03 V?

a) 2.764E+01 μC
b) 3.041E+01 μC
c) 3.345E+01 μC
d) 3.679E+01 μC
e) 4.047E+01 μC
5)
In the figure shown C1=18.1 μF, C2=2.13 μF, and C3=5.48 μF. The voltage source provides ε=14.6 V. What is the energy stored in C2?
a) 1.645E+01 μJ
b) 1.809E+01 μJ
c) 1.990E+01 μJ
d) 2.189E+01 μJ
e) 2.408E+01 μJ

6) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 4025 N.
b) 4628 N.
c) 5322 N.
d) 6121 N.
e) 7039 N.

7) A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

a) 3.2 kV/m.
b) 3.68 kV/m.
c) 4.24 kV/m.
d) 4.87 kV/m.
e) 5.6 kV/m.

8) The same parallel plate capacitor, with area 0.75 m2, plate separation 1.53mm, and an applied voltage of 5.05 kV. How much charge is stored?

a) 16.57 μC.
b) 19.06 μC.
c) 21.92 μC.
d) 25.21 μC.
e) 28.99 μC.

9) What voltage is required accelerate an electron at rest to a speed of 5.5 x 105 m/s?

a) 2.5 x 10-1 volts
b) 3.8 x 10-1 volts
c) 5.7 x 10-1 volts
d) 8.6 x 10-1 volts
e) 1.3 x 100 volts

10) How fast is a 2493 eV electron moving?

a) 1.3 x 107 m/s.
b) 2 x 107 m/s.
c) 3 x 107 m/s.
d) 4.4 x 107 m/s.
e) 6.7 x 107 m/s.

#### T3 F1

1) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the force between the plates if they are 0.5 mm apart?

a) 2065 N.
b) 2375 N.
c) 2732 N.
d) 3141 N.
e) 3613 N.
2)
In the figure shown C1=16.9 μF, C2=2.86 μF, and C3=5.1 μF. The voltage source provides ε=9.98 V. What is the energy stored in C2?
a) 1.764E+01 μJ
b) 1.940E+01 μJ
c) 2.134E+01 μJ
d) 2.348E+01 μJ
e) 2.583E+01 μJ

3) A 12.0 V battery can move 26,000 C of charge. How many Joules does it deliver?

a) 2.836E+05 J
b) 3.120E+05 J
c) 3.432E+05 J
d) 3.775E+05 J
e) 4.153E+05 J

4) The same parallel plate capacitor, with area 0.75 m2, plate separation 0.53mm, and an applied voltage of 3.55 kV. How much charge is stored?

a) 29.25 μC.
b) 33.63 μC.
c) 38.68 μC.
d) 44.48 μC.
e) 51.15 μC.

5) What voltage is required accelerate an electron at rest to a speed of 5.6 x 104 m/s?

a) 5.9 x 10-3 volts
b) 8.9 x 10-3 volts
c) 1.3 x 10-2 volts
d) 2 x 10-2 volts
e) 3 x 10-2 volts

6) How fast is a 2672 eV electron moving?

a) 6.1 x 106 m/s.
b) 9.1 x 106 m/s.
c) 1.4 x 107 m/s.
d) 2 x 107 m/s.
e) 3.1 x 107 m/s.

7) Assume that a 23 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (7 cm, 0°) and P2 is at (13 cm, 18°).

a) 1.024E+03 V
b) 1.126E+03 V
c) 1.239E+03 V
d) 1.363E+03 V
e) 1.499E+03 V

8) An empty parallel-plate capacitor with metal plates has an area of 2.16 m2, separated by 1.12 mm. How much charge does it store if the voltage is 1.530E+03 V?

a) 2.375E+01 μC
b) 2.613E+01 μC
c) 2.874E+01 μC
d) 3.161E+01 μC
e) 3.477E+01 μC

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.

a) 3.288E+06 m/s
b) 3.617E+06 m/s
c) 3.979E+06 m/s
d) 4.376E+06 m/s
e) 4.814E+06 m/s

10) A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

a) 3.2 kV/m.
b) 3.68 kV/m.
c) 4.24 kV/m.
d) 4.87 kV/m.
e) 5.6 kV/m.

#### T3 F2

1)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
a) 6.750E+00 μJ
b) 7.425E+00 μJ
c) 8.168E+00 μJ
d) 8.984E+00 μJ
e) 9.883E+00 μJ

2) An empty parallel-plate capacitor with metal plates has an area of 2.66 m2, separated by 1.18 mm. How much charge does it store if the voltage is 6.170E+03 V?

a) 1.231E+02 μC
b) 1.355E+02 μC
c) 1.490E+02 μC
d) 1.639E+02 μC
e) 1.803E+02 μC

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.

a) 1.544E+06 m/s
b) 1.698E+06 m/s
c) 1.868E+06 m/s
d) 2.055E+06 m/s
e) 2.260E+06 m/s

4) Assume that a 11 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (12 cm, 14°).

a) 1.876E+02 V
b) 2.063E+02 V
c) 2.270E+02 V
d) 2.497E+02 V
e) 2.746E+02 V

5) A 12.0 V battery can move 41,000 C of charge. How many Joules does it deliver?

a) 3.696E+05 J
b) 4.066E+05 J
c) 4.473E+05 J
d) 4.920E+05 J
e) 5.412E+05 J

6) A 1.4 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

a) 0.86 kV/m.
b) 0.99 kV/m.
c) 1.14 kV/m.
d) 1.31 kV/m.
e) 1.51 kV/m.

7) The same parallel plate capacitor, with area 0.55 m2, plate separation 0.53mm, and an applied voltage of 4.25 kV. How much charge is stored?

a) 39.05 μC.
b) 44.91 μC.
c) 51.64 μC.
d) 59.39 μC.
e) 68.3 μC.

8) How fast is a 2355 eV electron moving?

a) 1.9 x 107 m/s.
b) 2.9 x 107 m/s.
c) 4.3 x 107 m/s.
d) 6.5 x 107 m/s.
e) 9.7 x 107 m/s.

9) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the force between the plates if they are 0.5 mm apart?

a) 2065 N.
b) 2375 N.
c) 2732 N.
d) 3141 N.
e) 3613 N.

10) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?

a) 3.2 x 103 volts
b) 4.9 x 103 volts
c) 7.3 x 103 volts
d) 1.1 x 104 volts
e) 1.6 x 104 volts

### T3 G0

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.

a) 1.942E+06 m/s
b) 2.137E+06 m/s
c) 2.350E+06 m/s
d) 2.585E+06 m/s
e) 2.844E+06 m/s

2) If a 26 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=21 V is x2 + y2 + z2 = R2, where R=

a) 8.360E+00 m
b) 9.196E+00 m
c) 1.012E+01 m
d) 1.113E+01 m
e) 1.224E+01 m
3)
An electron gun has parallel plates separated by 4.36 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.816 μC charge that gets between the plates?
a) 2.212E-01 N
b) 2.433E-01 N
c) 2.676E-01 N
d) 2.944E-01 N
e) 3.238E-01 N

4) An empty parallel-plate capacitor with metal plates has an area of 1.73 m2, separated by 1.16 mm. How much charge does it store if the voltage is 1.130E+03 V?

a) 1.121E+01 μC
b) 1.233E+01 μC
c) 1.357E+01 μC
d) 1.492E+01 μC
e) 1.641E+01 μC
5)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
a) 6.750E+00 μJ
b) 7.425E+00 μJ
c) 8.168E+00 μJ
d) 8.984E+00 μJ
e) 9.883E+00 μJ

6) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

a) 0.81 J.
b) 0.93 J.
c) 1.07 J.
d) 1.23 J.
e) 1.41 J.

7) The same parallel plate capacitor, with area 0.55 m2, plate separation 0.53mm, and an applied voltage of 4.25 kV. How much charge is stored?

a) 39.05 μC.
b) 44.91 μC.
c) 51.64 μC.
d) 59.39 μC.
e) 68.3 μC.

8) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 4025 N.
b) 4628 N.
c) 5322 N.
d) 6121 N.
e) 7039 N.

9) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

a) 2.3 x 105 volts
b) 3.4 x 105 volts
c) 5.1 x 105 volts
d) 7.7 x 105 volts
e) 1.2 x 106 volts

10) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

a) 3.9 x 104 m/s.
b) 5.8 x 104 m/s.
c) 8.7 x 104 m/s.
d) 1.3 x 105 m/s.
e) 2 x 105 m/s.

#### T3 G1

1)
An electron gun has parallel plates separated by 4.95 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.516 μC charge that gets between the plates?
a) 1.355E-01 N
b) 1.491E-01 N
c) 1.640E-01 N
d) 1.804E-01 N
e) 1.984E-01 N

2) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

a) 1.28 J.
b) 1.47 J.
c) 1.69 J.
d) 1.94 J.
e) 2.24 J.

3) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the force between the plates if they are 0.5 mm apart?

a) 2065 N.
b) 2375 N.
c) 2732 N.
d) 3141 N.
e) 3613 N.
4)
In the figure shown C1=18.1 μF, C2=2.13 μF, and C3=5.48 μF. The voltage source provides ε=14.6 V. What is the energy stored in C2?
a) 1.645E+01 μJ
b) 1.809E+01 μJ
c) 1.990E+01 μJ
d) 2.189E+01 μJ
e) 2.408E+01 μJ

5) What voltage is required to stop a proton moving at a speed of 7.6 x 106 m/s?

a) 3 x 105 volts
b) 4.5 x 105 volts
c) 6.8 x 105 volts
d) 1 x 106 volts
e) 1.5 x 106 volts

6) A proton is accellerated (at rest) from a plate held at 767.8 volts to a plate at zero volts. What is the final speed?

a) 1.1 x 105 m/s.
b) 1.7 x 105 m/s.
c) 2.6 x 105 m/s.
d) 3.8 x 105 m/s.
e) 5.8 x 105 m/s.

7) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=

a) 1.598E+00 m
b) 1.757E+00 m
c) 1.933E+00 m
d) 2.127E+00 m
e) 2.339E+00 m

8) The same parallel plate capacitor, with area 1.45 m2, plate separation 1.53mm, and an applied voltage of 2.55 kV. How much charge is stored?

a) 12.23 μC.
b) 14.07 μC.
c) 16.18 μC.
d) 18.61 μC.
e) 21.4 μC.

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.

a) 1.698E+06 m/s
b) 1.868E+06 m/s
c) 2.055E+06 m/s
d) 2.260E+06 m/s
e) 2.486E+06 m/s

10) An empty parallel-plate capacitor with metal plates has an area of 2.51 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.230E+03 V?

a) 2.351E+01 μC
b) 2.586E+01 μC
c) 2.844E+01 μC
d) 3.129E+01 μC
e) 3.442E+01 μC

#### T3 G2

1) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

a) 2319 N.
b) 2667 N.
c) 3067 N.
d) 3527 N.
e) 4056 N.

2) Calculate the final speed of a free electron accelerated from rest through a potential difference of 46 V.

a) 3.022E+06 m/s
b) 3.324E+06 m/s
c) 3.657E+06 m/s
d) 4.023E+06 m/s
e) 4.425E+06 m/s

3) What voltage is required to stop a proton moving at a speed of 5.2 x 107 m/s?

a) 9.4 x 106 volts
b) 1.4 x 107 volts
c) 2.1 x 107 volts
d) 3.2 x 107 volts
e) 4.8 x 107 volts
4)
In the figure shown C1=17.2 μF, C2=2.71 μF, and C3=5.28 μF. The voltage source provides ε=13.2 V. What is the energy stored in C2?
a) 2.443E+01 μJ
b) 2.687E+01 μJ
c) 2.955E+01 μJ
d) 3.251E+01 μJ
e) 3.576E+01 μJ

5) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

a) 0.44 J.
b) 0.51 J.
c) 0.58 J.
d) 0.67 J.
e) 0.77 J.

6) An empty parallel-plate capacitor with metal plates has an area of 2.02 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.170E+03 V?

a) 2.450E+01 μC
b) 2.695E+01 μC
c) 2.965E+01 μC
d) 3.261E+01 μC
e) 3.587E+01 μC

7) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x2 + y2 + z2 = R2, where R=

a) 1.107E+00 m
b) 1.218E+00 m
c) 1.339E+00 m
d) 1.473E+00 m
e) 1.621E+00 m
8)
An electron gun has parallel plates separated by 2.36 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.45 μC charge that gets between the plates?
a) 7.033E-01 N
b) 7.736E-01 N
c) 8.510E-01 N
d) 9.361E-01 N
e) 1.030E+00 N

9) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

a) 3.9 x 104 m/s.
b) 5.8 x 104 m/s.
c) 8.7 x 104 m/s.
d) 1.3 x 105 m/s.
e) 2 x 105 m/s.

10) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

a) 42.21 μC.
b) 48.54 μC.
c) 55.82 μC.
d) 64.19 μC.
e) 73.82 μC.

### T3 H0

1) A 12.0 V battery can move 49,000 C of charge. How many Joules does it deliver?

a) 5.880E+05 J
b) 6.468E+05 J
c) 7.115E+05 J
d) 7.826E+05 J
e) 8.609E+05 J
2)
Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.) The charges are q1=4 μC, q2=7 μC, q3=10 μC, and q4=12 μC. How much work was required to assemble these four charges from infinity?
a) 1.194E+02 J
b) 1.314E+02 J
c) 1.445E+02 J
d) 1.589E+02 J
e) 1.748E+02 J

3) Two large parallel conducting plates are separated by 7.83 mm. Equal and opposite surface charges of 7.530E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 86 V?

a) 8.793E-01 mm
b) 1.011E+00 mm
c) 1.163E+00 mm
d) 1.337E+00 mm
e) 1.538E+00 mm

4) An empty parallel-plate capacitor with metal plates has an area of 2.02 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.170E+03 V?

a) 2.450E+01 μC
b) 2.695E+01 μC
c) 2.965E+01 μC
d) 3.261E+01 μC
e) 3.587E+01 μC
5)
What is the net capacitance if C1=4.7 μF, C2=4.82 μF, and C3=3.61 μF in the configuration shown?
a) 5.445E+00 μF
b) 5.990E+00 μF
c) 6.589E+00 μF
d) 7.247E+00 μF
e) 7.972E+00 μF

6) The same parallel plate capacitor, with area 1.45 m2, plate separation 1.53mm, and an applied voltage of 2.55 kV. How much charge is stored?

a) 12.23 μC.
b) 14.07 μC.
c) 16.18 μC.
d) 18.61 μC.
e) 21.4 μC.

7) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

a) 0.91 J.
b) 1.05 J.
c) 1.21 J.
d) 1.39 J.
e) 1.6 J.

8) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the force between the plates if they are 0.7 mm apart?

a) 1826 N.
b) 2099 N.
c) 2414 N.
d) 2776 N.
e) 3193 N.

9) How fast is a 2928 eV electron moving?

a) 6.3 x 106 m/s.
b) 9.5 x 106 m/s.
c) 1.4 x 107 m/s.
d) 2.1 x 107 m/s.
e) 3.2 x 107 m/s.

10) What voltage is required accelerate an electron at rest to a speed of 5.6 x 104 m/s?

a) 5.9 x 10-3 volts
b) 8.9 x 10-3 volts
c) 1.3 x 10-2 volts
d) 2 x 10-2 volts
e) 3 x 10-2 volts

#### T3 H1

1) Two large parallel conducting plates are separated by 9.71 mm. Equal and opposite surface charges of 7.550E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

a) 7.444E-01 mm
b) 8.561E-01 mm
c) 9.845E-01 mm
d) 1.132E+00 mm
e) 1.302E+00 mm

2) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 1.08 J.
b) 1.24 J.
c) 1.43 J.
d) 1.64 J.
e) 1.89 J.

3) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

a) 2319 N.
b) 2667 N.
c) 3067 N.
d) 3527 N.
e) 4056 N.

4) An empty parallel-plate capacitor with metal plates has an area of 1.81 m2, separated by 1.26 mm. How much charge does it store if the voltage is 4.610E+03 V?

a) 4.005E+01 μC
b) 4.405E+01 μC
c) 4.846E+01 μC
d) 5.330E+01 μC
e) 5.864E+01 μC

5) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

a) 1.7 x 10-1 volts
b) 2.6 x 10-1 volts
c) 3.8 x 10-1 volts
d) 5.8 x 10-1 volts
e) 8.6 x 10-1 volts

6) A 12.0 V battery can move 49,000 C of charge. How many Joules does it deliver?

a) 5.880E+05 J
b) 6.468E+05 J
c) 7.115E+05 J
d) 7.826E+05 J
e) 8.609E+05 J
7)
What is the net capacitance if C1=4.13 μF, C2=3.56 μF, and C3=3.57 μF in the configuration shown?
a) 5.482E+00 μF
b) 6.030E+00 μF
c) 6.633E+00 μF
d) 7.296E+00 μF
e) 8.026E+00 μF
8)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 2.617E+01 J
b) 2.879E+01 J
c) 3.167E+01 J
d) 3.484E+01 J
e) 3.832E+01 J

9) The same parallel plate capacitor, with area 0.55 m2, plate separation 0.53mm, and an applied voltage of 4.25 kV. How much charge is stored?

a) 39.05 μC.
b) 44.91 μC.
c) 51.64 μC.
d) 59.39 μC.
e) 68.3 μC.

10) How fast is a 2648 eV electron moving?

a) 3.1 x 107 m/s.
b) 4.6 x 107 m/s.
c) 6.9 x 107 m/s.
d) 1 x 108 m/s.
e) 1.5 x 108 m/s.

#### T3 H2

1) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

a) 42.21 μC.
b) 48.54 μC.
c) 55.82 μC.
d) 64.19 μC.
e) 73.82 μC.

2) A 12.0 V battery can move 11,000 C of charge. How many Joules does it deliver?

a) 9.016E+04 J
b) 9.917E+04 J
c) 1.091E+05 J
d) 1.200E+05 J
e) 1.320E+05 J
3)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 4.554E+01 J
b) 5.009E+01 J
c) 5.510E+01 J
d) 6.061E+01 J
e) 6.667E+01 J
4)
What is the net capacitance if C1=3.56 μF, C2=4.23 μF, and C3=2.61 μF in the configuration shown?
a) 3.755E+00 μF
b) 4.130E+00 μF
c) 4.543E+00 μF
d) 4.997E+00 μF
e) 5.497E+00 μF

5) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the force between the plates if they are 0.6 mm apart?

a) 2381 N.
b) 2738 N.
c) 3149 N.
d) 3621 N.
e) 4164 N.

6) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 1.08 J.
b) 1.24 J.
c) 1.43 J.
d) 1.64 J.
e) 1.89 J.

7) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

a) 1.7 x 10-1 volts
b) 2.6 x 10-1 volts
c) 3.8 x 10-1 volts
d) 5.8 x 10-1 volts
e) 8.6 x 10-1 volts

8) An empty parallel-plate capacitor with metal plates has an area of 2.42 m2, separated by 1.33 mm. How much charge does it store if the voltage is 1.130E+03 V?

a) 1.368E+01 μC
b) 1.505E+01 μC
c) 1.655E+01 μC
d) 1.820E+01 μC
e) 2.003E+01 μC

9) Two large parallel conducting plates are separated by 9.71 mm. Equal and opposite surface charges of 7.550E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

a) 7.444E-01 mm
b) 8.561E-01 mm
c) 9.845E-01 mm
d) 1.132E+00 mm
e) 1.302E+00 mm

10) How fast is a 2928 eV electron moving?

a) 6.3 x 106 m/s.
b) 9.5 x 106 m/s.
c) 1.4 x 107 m/s.
d) 2.1 x 107 m/s.
e) 3.2 x 107 m/s.

### T3 I0

1) Two large parallel conducting plates are separated by 7.93 mm. Equal and opposite surface charges of 7.720E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 77 V?

a) 6.678E-01 mm
b) 7.679E-01 mm
c) 8.831E-01 mm
d) 1.016E+00 mm
e) 1.168E+00 mm

2) If a 28 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=77 V is x2 + y2 + z2 = R2, where R=

a) 2.701E+00 m
b) 2.971E+00 m
c) 3.268E+00 m
d) 3.595E+00 m
e) 3.955E+00 m

3) A 12.0 V battery can move 29,000 C of charge. How many Joules does it deliver?

a) 2.615E+05 J
b) 2.876E+05 J
c) 3.164E+05 J
d) 3.480E+05 J
e) 3.828E+05 J
4)
In the figure shown C1=19.0 μF, C2=2.35 μF, and C3=5.22 μF. The voltage source provides ε=6.01 V. What is the charge on C1?
a) 2.444E+01 μC
b) 2.689E+01 μC
c) 2.958E+01 μC
d) 3.253E+01 μC
e) 3.579E+01 μC
5)
In the figure shown C1=16.7 μF, C2=2.26 μF, and C3=4.53 μF. The voltage source provides ε=10.7 V. What is the energy stored in C2?
a) 1.292E+01 μJ
b) 1.421E+01 μJ
c) 1.563E+01 μJ
d) 1.719E+01 μJ
e) 1.891E+01 μJ

6) A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

a) 3.2 kV/m.
b) 3.68 kV/m.
c) 4.24 kV/m.
d) 4.87 kV/m.
e) 5.6 kV/m.

7) A parallel plate capacitor has both plates with an area of 1.15 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 2.25 kV. What is the capacitance?

a) 16.16 nF.
b) 18.59 nF.
c) 21.37 nF.
d) 24.58 nF.
e) 28.27 nF.

8) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 0.38 J.
b) 0.43 J.
c) 0.5 J.
d) 0.57 J.
e) 0.66 J.

9) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

a) 4.4 x 10-6 volts
b) 6.6 x 10-6 volts
c) 9.9 x 10-6 volts
d) 1.5 x 10-5 volts
e) 2.2 x 10-5 volts

10) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

a) 3.9 x 104 m/s.
b) 5.8 x 104 m/s.
c) 8.7 x 104 m/s.
d) 1.3 x 105 m/s.
e) 2 x 105 m/s.

#### T3 I1

1) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

a) 1.7 x 10-1 volts
b) 2.6 x 10-1 volts
c) 3.8 x 10-1 volts
d) 5.8 x 10-1 volts
e) 8.6 x 10-1 volts
2)
In the figure shown C1=17.8 μF, C2=2.22 μF, and C3=5.71 μF. The voltage source provides ε=13.9 V. What is the charge on C1?
a) 7.625E+01 μC
b) 8.388E+01 μC
c) 9.227E+01 μC
d) 1.015E+02 μC
e) 1.116E+02 μC

3) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=

a) 1.598E+00 m
b) 1.757E+00 m
c) 1.933E+00 m
d) 2.127E+00 m
e) 2.339E+00 m

4) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

a) 2.23 J.
b) 2.56 J.
c) 2.94 J.
d) 3.39 J.
e) 3.89 J.

5) A proton is accellerated (at rest) from a plate held at 767.8 volts to a plate at zero volts. What is the final speed?

a) 1.1 x 105 m/s.
b) 1.7 x 105 m/s.
c) 2.6 x 105 m/s.
d) 3.8 x 105 m/s.
e) 5.8 x 105 m/s.

6) A 12.0 V battery can move 27,000 C of charge. How many Joules does it deliver?

a) 2.213E+05 J
b) 2.434E+05 J
c) 2.678E+05 J
d) 2.945E+05 J
e) 3.240E+05 J
7)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
a) 6.750E+00 μJ
b) 7.425E+00 μJ
c) 8.168E+00 μJ
d) 8.984E+00 μJ
e) 9.883E+00 μJ

8) A parallel plate capacitor has both plates with an area of 0.55 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 4.25 kV. What is the capacitance?

a) 6.95 nF.
b) 7.99 nF.
c) 9.19 nF.
d) 10.57 nF.
e) 12.15 nF.

9) Two large parallel conducting plates are separated by 8.13 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 92 V?

a) 9.394E-01 mm
b) 1.080E+00 mm
c) 1.242E+00 mm
d) 1.429E+00 mm
e) 1.643E+00 mm

10) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

a) 1.57 kV/m.
b) 1.8 kV/m.
c) 2.07 kV/m.
d) 2.38 kV/m.
e) 2.74 kV/m.

#### T3 I2

1) A 12.0 V battery can move 30,000 C of charge. How many Joules does it deliver?

a) 3.273E+05 J
b) 3.600E+05 J
c) 3.960E+05 J
d) 4.356E+05 J
e) 4.792E+05 J

2) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?

a) 9.521E-01 mm
b) 1.095E+00 mm
c) 1.259E+00 mm
d) 1.448E+00 mm
e) 1.665E+00 mm

3) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=

a) 2.139E+00 m
b) 2.353E+00 m
c) 2.588E+00 m
d) 2.847E+00 m
e) 3.132E+00 m
4)
In the figure shown C1=15.4 μF, C2=2.22 μF, and C3=4.77 μF. The voltage source provides ε=6.8 V. What is the charge on C1?
a) 2.702E+01 μC
b) 2.972E+01 μC
c) 3.269E+01 μC
d) 3.596E+01 μC
e) 3.956E+01 μC

5) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

a) 3.9 x 104 m/s.
b) 5.8 x 104 m/s.
c) 8.7 x 104 m/s.
d) 1.3 x 105 m/s.
e) 2 x 105 m/s.

6) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?

a) 3.2 x 103 volts
b) 4.9 x 103 volts
c) 7.3 x 103 volts
d) 1.1 x 104 volts
e) 1.6 x 104 volts
7)
In the figure shown C1=16.3 μF, C2=2.17 μF, and C3=4.67 μF. The voltage source provides ε=8.35 V. What is the energy stored in C2?
a) 8.718E+00 μJ
b) 9.589E+00 μJ
c) 1.055E+01 μJ
d) 1.160E+01 μJ
e) 1.276E+01 μJ

8) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 0.93mm. Applied to the plates is a potential difference of 4.45 kV. What is the capacitance?

a) 12 nF.
b) 13.8 nF.
c) 15.88 nF.
d) 18.26 nF.
e) 21 nF.

9) A 0.5 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

a) 3.46 kV/m.
b) 3.98 kV/m.
c) 4.57 kV/m.
d) 5.26 kV/m.
e) 6.05 kV/m.

10) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

a) 0.81 J.
b) 0.93 J.
c) 1.07 J.
d) 1.23 J.
e) 1.41 J.

### T3 J0

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.

a) 1.544E+06 m/s
b) 1.698E+06 m/s
c) 1.868E+06 m/s
d) 2.055E+06 m/s
e) 2.260E+06 m/s

2) When a 3.63 V battery operates a 1.34 W bulb, how many electrons pass through it each second?

a) 2.095E+18 electrons
b) 2.304E+18 electrons
c) 2.534E+18 electrons
d) 2.788E+18 electrons
e) 3.067E+18 electrons

3) A 2 C charge is separated from a 10 C charge by distance of 8 cm. What is the work done by increasing this separation to 14 cm?

a) 8.754E-07 J
b) 9.630E-07 J
c) 1.059E-06 J
d) 1.165E-06 J
e) 1.282E-06 J
4)
In the figure shown C1=17.9 μF, C2=2.76 μF, and C3=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C1?
a) 5.969E+01 μC
b) 6.566E+01 μC
c) 7.222E+01 μC
d) 7.944E+01 μC
e) 8.739E+01 μC

5) An empty parallel-plate capacitor with metal plates has an area of 1.73 m2, separated by 1.16 mm. How much charge does it store if the voltage is 1.130E+03 V?

a) 1.121E+01 μC
b) 1.233E+01 μC
c) 1.357E+01 μC
d) 1.492E+01 μC
e) 1.641E+01 μC

6) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

a) 3.28 nF.
b) 3.77 nF.
c) 4.34 nF.
d) 4.99 nF.
e) 5.74 nF.

7) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the force between the plates if they are 0.7 mm apart?

a) 1826 N.
b) 2099 N.
c) 2414 N.
d) 2776 N.
e) 3193 N.

8) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 1.08 J.
b) 1.24 J.
c) 1.43 J.
d) 1.64 J.
e) 1.89 J.

9) What voltage is required accelerate an electron at rest to a speed of 1.5 x 103 m/s?

a) 1.9 x 10-6 volts
b) 2.8 x 10-6 volts
c) 4.3 x 10-6 volts
d) 6.4 x 10-6 volts
e) 9.6 x 10-6 volts

10) How fast is a 2493 eV electron moving?

a) 1.3 x 107 m/s.
b) 2 x 107 m/s.
c) 3 x 107 m/s.
d) 4.4 x 107 m/s.
e) 6.7 x 107 m/s.

#### T3 J1

1) An empty parallel-plate capacitor with metal plates has an area of 2.84 m2, separated by 1.42 mm. How much charge does it store if the voltage is 1.510E+03 V?

a) 1.826E+01 μC
b) 2.009E+01 μC
c) 2.210E+01 μC
d) 2.431E+01 μC
e) 2.674E+01 μC
2)
In the figure shown C1=20.6 μF, C2=2.38 μF, and C3=5.66 μF. The voltage source provides ε=12.6 V. What is the charge on C1?
a) 5.474E+01 μC
b) 6.022E+01 μC
c) 6.624E+01 μC
d) 7.287E+01 μC
e) 8.015E+01 μC

3) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?

a) 7.397E+17 electrons
b) 8.137E+17 electrons
c) 8.951E+17 electrons
d) 9.846E+17 electrons
e) 1.083E+18 electrons

4) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.

a) 3.288E+06 m/s
b) 3.617E+06 m/s
c) 3.979E+06 m/s
d) 4.376E+06 m/s
e) 4.814E+06 m/s

5) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.6 mm apart?

a) 412 N.
b) 474 N.
c) 545 N.
d) 626 N.
e) 720 N.

6) A parallel plate capacitor has both plates with an area of 1.05 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 4.35 kV. What is the capacitance?

a) 11.16 nF.
b) 12.83 nF.
c) 14.76 nF.
d) 16.97 nF.
e) 19.52 nF.

7) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?

a) 3.2 x 103 volts
b) 4.9 x 103 volts
c) 7.3 x 103 volts
d) 1.1 x 104 volts
e) 1.6 x 104 volts

8) How fast is a 2355 eV electron moving?

a) 1.9 x 107 m/s.
b) 2.9 x 107 m/s.
c) 4.3 x 107 m/s.
d) 6.5 x 107 m/s.
e) 9.7 x 107 m/s.

9) A 4 C charge is separated from a 10 C charge by distance of 10 cm. What is the work done by increasing this separation to 19 cm?

a) 1.548E-06 J
b) 1.703E-06 J
c) 1.873E-06 J
d) 2.061E-06 J
e) 2.267E-06 J

10) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

a) 1.81 J.
b) 2.08 J.
c) 2.39 J.
d) 2.75 J.
e) 3.16 J.

#### T3 J2

1) An empty parallel-plate capacitor with metal plates has an area of 2.51 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.230E+03 V?

a) 2.351E+01 μC
b) 2.586E+01 μC
c) 2.844E+01 μC
d) 3.129E+01 μC
e) 3.442E+01 μC

2) How fast is a 2672 eV electron moving?

a) 6.1 x 106 m/s.
b) 9.1 x 106 m/s.
c) 1.4 x 107 m/s.
d) 2 x 107 m/s.
e) 3.1 x 107 m/s.

3) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 3.55 kV. What is the capacitance?

a) 7.16 nF.
b) 8.24 nF.
c) 9.47 nF.
d) 10.9 nF.
e) 12.53 nF.

4) When a 7.1 V battery operates a 1.8 W bulb, how many electrons pass through it each second?

a) 1.439E+18 electrons
b) 1.582E+18 electrons
c) 1.741E+18 electrons
d) 1.915E+18 electrons
e) 2.106E+18 electrons

5) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

a) 4.4 x 10-6 volts
b) 6.6 x 10-6 volts
c) 9.9 x 10-6 volts
d) 1.5 x 10-5 volts
e) 2.2 x 10-5 volts

6) A 2 C charge is separated from a 6 C charge by distance of 13 cm. What is the work done by increasing this separation to 16 cm?

a) 1.556E-07 J
b) 1.711E-07 J
c) 1.882E-07 J
d) 2.070E-07 J
e) 2.277E-07 J

7) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.

a) 5.102E+06 m/s
b) 5.612E+06 m/s
c) 6.173E+06 m/s
d) 6.791E+06 m/s
e) 7.470E+06 m/s
8)
In the figure shown C1=15.0 μF, C2=2.65 μF, and C3=5.67 μF. The voltage source provides ε=7.44 V. What is the charge on C1?
a) 3.982E+01 μC
b) 4.380E+01 μC
c) 4.818E+01 μC
d) 5.300E+01 μC
e) 5.829E+01 μC

9) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 1473 N.
b) 1694 N.
c) 1948 N.
d) 2241 N.
e) 2577 N.

10) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

a) 1.81 J.
b) 2.08 J.
c) 2.39 J.
d) 2.75 J.
e) 3.16 J.

### T3 K0

1) Two large parallel conducting plates are separated by 6.95 mm. Equal and opposite surface charges of 7.360E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 83 V?

a) 6.565E-01 mm
b) 7.550E-01 mm
c) 8.683E-01 mm
d) 9.985E-01 mm
e) 1.148E+00 mm

2) A 2 C charge is separated from a 10 C charge by distance of 10 cm. What is the work done by increasing this separation to 16 cm?

a) 6.128E-07 J
b) 6.741E-07 J
c) 7.415E-07 J
d) 8.156E-07 J
e) 8.972E-07 J

3) A 12.0 V battery can move 12,000 C of charge. How many Joules does it deliver?

a) 1.190E+05 J
b) 1.309E+05 J
c) 1.440E+05 J
d) 1.584E+05 J
e) 1.742E+05 J
4)
In the figure shown C1=18.1 μF, C2=2.13 μF, and C3=5.48 μF. The voltage source provides ε=14.6 V. What is the energy stored in C2?
a) 1.645E+01 μJ
b) 1.809E+01 μJ
c) 1.990E+01 μJ
d) 2.189E+01 μJ
e) 2.408E+01 μJ
5)
In the figure shown C1=18.0 μF, C2=2.88 μF, and C3=5.34 μF. The voltage source provides ε=11.9 V. What is the charge on C1?
a) 5.045E+01 μC
b) 5.550E+01 μC
c) 6.105E+01 μC
d) 6.715E+01 μC
e) 7.387E+01 μC

6) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

a) 3.28 nF.
b) 3.77 nF.
c) 4.34 nF.
d) 4.99 nF.
e) 5.74 nF.

7) The same parallel plate capacitor, with area 0.55 m2, plate separation 0.53mm, and an applied voltage of 4.25 kV. How much charge is stored?

a) 39.05 μC.
b) 44.91 μC.
c) 51.64 μC.
d) 59.39 μC.
e) 68.3 μC.

8) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

a) 1.57 kV/m.
b) 1.8 kV/m.
c) 2.07 kV/m.
d) 2.38 kV/m.
e) 2.74 kV/m.

9) What voltage is required accelerate an electron at rest to a speed of 1.5 x 103 m/s?

a) 1.9 x 10-6 volts
b) 2.8 x 10-6 volts
c) 4.3 x 10-6 volts
d) 6.4 x 10-6 volts
e) 9.6 x 10-6 volts

10) How fast is a 2648 eV electron moving?

a) 3.1 x 107 m/s.
b) 4.6 x 107 m/s.
c) 6.9 x 107 m/s.
d) 1 x 108 m/s.
e) 1.5 x 108 m/s.

#### T3 K1

1) The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

a) 40.39 μC.
b) 46.45 μC.
c) 53.42 μC.
d) 61.43 μC.
e) 70.65 μC.

2) A 3 C charge is separated from a 7 C charge by distance of 10 cm. What is the work done by increasing this separation to 15 cm?

a) 5.199E-07 J
b) 5.719E-07 J
c) 6.291E-07 J
d) 6.920E-07 J
e) 7.612E-07 J

3) A 1.4 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

a) 0.86 kV/m.
b) 0.99 kV/m.
c) 1.14 kV/m.
d) 1.31 kV/m.
e) 1.51 kV/m.
4)
In the figure shown C1=15.7 μF, C2=2.87 μF, and C3=5.46 μF. The voltage source provides ε=5.38 V. What is the energy stored in C2?
a) 6.890E+00 μJ
b) 7.579E+00 μJ
c) 8.337E+00 μJ
d) 9.171E+00 μJ
e) 1.009E+01 μJ

5) A parallel plate capacitor has both plates with an area of 1.05 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 4.35 kV. What is the capacitance?

a) 11.16 nF.
b) 12.83 nF.
c) 14.76 nF.
d) 16.97 nF.
e) 19.52 nF.

6) How fast is a 2355 eV electron moving?

a) 1.9 x 107 m/s.
b) 2.9 x 107 m/s.
c) 4.3 x 107 m/s.
d) 6.5 x 107 m/s.
e) 9.7 x 107 m/s.

7) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.280E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 70 V?

a) 8.514E-01 mm
b) 9.791E-01 mm
c) 1.126E+00 mm
d) 1.295E+00 mm
e) 1.489E+00 mm

8) What voltage is required accelerate an electron at rest to a speed of 5.5 x 105 m/s?

a) 2.5 x 10-1 volts
b) 3.8 x 10-1 volts
c) 5.7 x 10-1 volts
d) 8.6 x 10-1 volts
e) 1.3 x 100 volts

9) A 12.0 V battery can move 12,000 C of charge. How many Joules does it deliver?

a) 1.190E+05 J
b) 1.309E+05 J
c) 1.440E+05 J
d) 1.584E+05 J
e) 1.742E+05 J
10)
In the figure shown C1=19.0 μF, C2=2.35 μF, and C3=5.22 μF. The voltage source provides ε=6.01 V. What is the charge on C1?
a) 2.444E+01 μC
b) 2.689E+01 μC
c) 2.958E+01 μC
d) 3.253E+01 μC
e) 3.579E+01 μC

#### T3 K2

1) How fast is a 2928 eV electron moving?

a) 6.3 x 106 m/s.
b) 9.5 x 106 m/s.
c) 1.4 x 107 m/s.
d) 2.1 x 107 m/s.
e) 3.2 x 107 m/s.

2) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

a) 42.21 μC.
b) 48.54 μC.
c) 55.82 μC.
d) 64.19 μC.
e) 73.82 μC.

3) Two large parallel conducting plates are separated by 9.71 mm. Equal and opposite surface charges of 7.550E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

a) 7.444E-01 mm
b) 8.561E-01 mm
c) 9.845E-01 mm
d) 1.132E+00 mm
e) 1.302E+00 mm

4) What voltage is required accelerate an electron at rest to a speed of 5.5 x 105 m/s?

a) 2.5 x 10-1 volts
b) 3.8 x 10-1 volts
c) 5.7 x 10-1 volts
d) 8.6 x 10-1 volts
e) 1.3 x 100 volts

5) A 12.0 V battery can move 19,000 C of charge. How many Joules does it deliver?

a) 1.713E+05 J
b) 1.884E+05 J
c) 2.073E+05 J
d) 2.280E+05 J
e) 2.508E+05 J

6) A 8 C charge is separated from a 12 C charge by distance of 9 cm. What is the work done by increasing this separation to 18 cm?

a) 3.274E-06 J
b) 3.601E-06 J
c) 3.961E-06 J
d) 4.358E-06 J
e) 4.793E-06 J
7)
In the figure shown C1=16.9 μF, C2=2.3 μF, and C3=4.67 μF. The voltage source provides ε=13.4 V. What is the charge on C1?
a) 6.011E+01 μC
b) 6.613E+01 μC
c) 7.274E+01 μC
d) 8.001E+01 μC
e) 8.801E+01 μC

8) A 0.5 Farad capacitor is charged with 1.3 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

a) 3.71 kV/m.
b) 4.27 kV/m.
c) 4.91 kV/m.
d) 5.65 kV/m.
e) 6.5 kV/m.
9)
In the figure shown C1=16.1 μF, C2=2.14 μF, and C3=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C2?
a) 1.199E+01 μJ
b) 1.319E+01 μJ
c) 1.450E+01 μJ
d) 1.595E+01 μJ
e) 1.755E+01 μJ

10) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 2.55 kV. What is the capacitance?

a) 8.39 nF.
b) 9.65 nF.
c) 11.1 nF.
d) 12.76 nF.
e) 14.68 nF.

### T3 L0

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 27 V.

a) 2.802E+06 m/s
b) 3.082E+06 m/s
c) 3.390E+06 m/s
d) 3.729E+06 m/s
e) 4.102E+06 m/s

2) When a 4.91 V battery operates a 1.43 W bulb, how many electrons pass through it each second?

a) 1.242E+18 electrons
b) 1.366E+18 electrons
c) 1.502E+18 electrons
d) 1.653E+18 electrons
e) 1.818E+18 electrons
3)
A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What is the excess charge on the sphere?
a) 1.388E+01 μC
b) 1.527E+01 μC
c) 1.680E+01 μC
d) 1.848E+01 μC
e) 2.033E+01 μC
4)
What is the net capacitance if C1=2.96 μF, C2=3.95 μF, and C3=3.74 μF in the configuration shown?
a) 4.489E+00 μF
b) 4.938E+00 μF
c) 5.432E+00 μF
d) 5.975E+00 μF
e) 6.573E+00 μF
5)
In the figure shown C1=17.7 μF, C2=2.48 μF, and C3=4.68 μF. The voltage source provides ε=12.7 V. What is the energy stored in C2?
a) 2.242E+01 μJ
b) 2.467E+01 μJ
c) 2.713E+01 μJ
d) 2.985E+01 μJ
e) 3.283E+01 μJ

6) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 2.55 kV. What is the capacitance?

a) 8.39 nF.
b) 9.65 nF.
c) 11.1 nF.
d) 12.76 nF.
e) 14.68 nF.

7) The same parallel plate capacitor, with area 0.75 m2, plate separation 1.53mm, and an applied voltage of 5.05 kV. How much charge is stored?

a) 16.57 μC.
b) 19.06 μC.
c) 21.92 μC.
d) 25.21 μC.
e) 28.99 μC.

8) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

a) 0.44 J.
b) 0.51 J.
c) 0.58 J.
d) 0.67 J.
e) 0.77 J.

9) What voltage is required to stop a proton moving at a speed of 5.2 x 107 m/s?

a) 9.4 x 106 volts
b) 1.4 x 107 volts
c) 2.1 x 107 volts
d) 3.2 x 107 volts
e) 4.8 x 107 volts

10) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

a) 1.7 x 10-1 volts
b) 2.6 x 10-1 volts
c) 3.8 x 10-1 volts
d) 5.8 x 10-1 volts
e) 8.6 x 10-1 volts

#### T3 L1

1) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

a) 1.81 J.
b) 2.08 J.
c) 2.39 J.
d) 2.75 J.
e) 3.16 J.

2) What voltage is required accelerate an electron at rest to a speed of 5.6 x 104 m/s?

a) 5.9 x 10-3 volts
b) 8.9 x 10-3 volts
c) 1.3 x 10-2 volts
d) 2 x 10-2 volts
e) 3 x 10-2 volts

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.

a) 1.698E+06 m/s
b) 1.868E+06 m/s
c) 2.055E+06 m/s
d) 2.260E+06 m/s
e) 2.486E+06 m/s
4)
A Van de Graff generator has a 149 cm diameter metal sphere that produces 172 kV near its surface. What is the excess charge on the sphere?
a) 1.071E+01 μC
b) 1.178E+01 μC
c) 1.296E+01 μC
d) 1.426E+01 μC
e) 1.568E+01 μC

5) When a 6.03 V battery operates a 1.56 W bulb, how many electrons pass through it each second?

a) 1.615E+18 electrons
b) 1.776E+18 electrons
c) 1.954E+18 electrons
d) 2.149E+18 electrons
e) 2.364E+18 electrons

6) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

a) 2.3 x 105 volts
b) 3.4 x 105 volts
c) 5.1 x 105 volts
d) 7.7 x 105 volts
e) 1.2 x 106 volts
7)
In the figure shown C1=18.2 μF, C2=2.44 μF, and C3=5.0 μF. The voltage source provides ε=7.78 V. What is the energy stored in C2?
a) 1.225E+01 μJ
b) 1.347E+01 μJ
c) 1.482E+01 μJ
d) 1.630E+01 μJ
e) 1.793E+01 μJ

8) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

a) 42.21 μC.
b) 48.54 μC.
c) 55.82 μC.
d) 64.19 μC.
e) 73.82 μC.

9) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 2.55 kV. What is the capacitance?

a) 8.39 nF.
b) 9.65 nF.
c) 11.1 nF.
d) 12.76 nF.
e) 14.68 nF.
10)
What is the net capacitance if C1=3.25 μF, C2=4.87 μF, and C3=2.19 μF in the configuration shown?
a) 4.139E+00 μF
b) 4.553E+00 μF
c) 5.008E+00 μF
d) 5.509E+00 μF
e) 6.060E+00 μF

#### T3 L2

1) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 3.55 kV. What is the capacitance?

a) 7.16 nF.
b) 8.24 nF.
c) 9.47 nF.
d) 10.9 nF.
e) 12.53 nF.

2) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.

a) 4.638E+06 m/s
b) 5.102E+06 m/s
c) 5.612E+06 m/s
d) 6.173E+06 m/s
e) 6.791E+06 m/s

3) When a 4.63 V battery operates a 2.26 W bulb, how many electrons pass through it each second?

a) 2.770E+18 electrons
b) 3.047E+18 electrons
c) 3.351E+18 electrons
d) 3.686E+18 electrons
e) 4.055E+18 electrons

4) What voltage is required accelerate an electron at rest to a speed of 9.5 x 106 m/s?

a) 1.1 x 102 volts
b) 1.7 x 102 volts
c) 2.6 x 102 volts
d) 3.8 x 102 volts
e) 5.8 x 102 volts

5) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

a) 2.23 J.
b) 2.56 J.
c) 2.94 J.
d) 3.39 J.
e) 3.89 J.
6)
In the figure shown C1=19.2 μF, C2=2.71 μF, and C3=5.52 μF. The voltage source provides ε=15.0 V. What is the energy stored in C2?
a) 2.138E+01 μJ
b) 2.352E+01 μJ
c) 2.587E+01 μJ
d) 2.845E+01 μJ
e) 3.130E+01 μJ

7) The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

a) 23.91 μC.
b) 27.5 μC.
c) 31.62 μC.
d) 36.37 μC.
e) 41.82 μC.
8)
What is the net capacitance if C1=2.55 μF, C2=4.13 μF, and C3=2.5 μF in the configuration shown?
a) 4.077E+00 μF
b) 4.484E+00 μF
c) 4.933E+00 μF
d) 5.426E+00 μF
e) 5.969E+00 μF
9)
A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What is the excess charge on the sphere?
a) 1.500E+01 μC
b) 1.650E+01 μC
c) 1.815E+01 μC
d) 1.997E+01 μC
e) 2.196E+01 μC

10) What voltage is required to stop a proton moving at a speed of 7.6 x 106 m/s?

a) 3 x 105 volts
b) 4.5 x 105 volts
c) 6.8 x 105 volts
d) 1 x 106 volts
e) 1.5 x 106 volts

### T3 M0

1)
An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 μC charge that gets between the plates?
a) 8.430E-01 N
b) 9.273E-01 N
c) 1.020E+00 N
d) 1.122E+00 N
e) 1.234E+00 N
2)
A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What is the excess charge on the sphere?
a) 1.388E+01 μC
b) 1.527E+01 μC
c) 1.680E+01 μC
d) 1.848E+01 μC
e) 2.033E+01 μC

3) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x2 + y2 + z2 = R2, where R=

a) 1.107E+00 m
b) 1.218E+00 m
c) 1.339E+00 m
d) 1.473E+00 m
e) 1.621E+00 m
4)
What is the net capacitance if C1=2.96 μF, C2=3.95 μF, and C3=3.74 μF in the configuration shown?
a) 4.489E+00 μF
b) 4.938E+00 μF
c) 5.432E+00 μF
d) 5.975E+00 μF
e) 6.573E+00 μF
5)
In the figure shown C1=19.4 μF, C2=2.49 μF, and C3=4.17 μF. The voltage source provides ε=6.35 V. What is the charge on C1?
a) 2.602E+01 μC
b) 2.862E+01 μC
c) 3.148E+01 μC
d) 3.463E+01 μC
e) 3.809E+01 μC

6) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

a) 1.28 J.
b) 1.47 J.
c) 1.69 J.
d) 1.94 J.
e) 2.24 J.

7) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

a) 2319 N.
b) 2667 N.
c) 3067 N.
d) 3527 N.
e) 4056 N.

8) A 0.5 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

a) 3.46 kV/m.
b) 3.98 kV/m.
c) 4.57 kV/m.
d) 5.26 kV/m.
e) 6.05 kV/m.

9) A proton is accellerated (at rest) from a plate held at 775.8 volts to a plate at zero volts. What is the final speed?

a) 7.6 x 104 m/s.
b) 1.1 x 105 m/s.
c) 1.7 x 105 m/s.
d) 2.6 x 105 m/s.
e) 3.9 x 105 m/s.

10) What voltage is required to stop a proton moving at a speed of 8 x 107 m/s?

a) 3.3 x 107 volts
b) 5 x 107 volts
c) 7.5 x 107 volts
d) 1.1 x 108 volts
e) 1.7 x 108 volts

#### T3 M1

1) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 4025 N.
b) 4628 N.
c) 5322 N.
d) 6121 N.
e) 7039 N.
2)
A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What is the excess charge on the sphere?
a) 1.388E+01 μC
b) 1.527E+01 μC
c) 1.680E+01 μC
d) 1.848E+01 μC
e) 2.033E+01 μC
3)
In the figure shown C1=15.4 μF, C2=2.22 μF, and C3=4.77 μF. The voltage source provides ε=6.8 V. What is the charge on C1?
a) 2.702E+01 μC
b) 2.972E+01 μC
c) 3.269E+01 μC
d) 3.596E+01 μC
e) 3.956E+01 μC
4)
An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 μC charge that gets between the plates?
a) 8.430E-01 N
b) 9.273E-01 N
c) 1.020E+00 N
d) 1.122E+00 N
e) 1.234E+00 N
5)
What is the net capacitance if C1=3.54 μF, C2=3.53 μF, and C3=3.65 μF in the configuration shown?
a) 3.700E+00 μF
b) 4.070E+00 μF
c) 4.477E+00 μF
d) 4.925E+00 μF
e) 5.417E+00 μF

6) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 1.08 J.
b) 1.24 J.
c) 1.43 J.
d) 1.64 J.
e) 1.89 J.

7) A 0.8 Farad capacitor is charged with 1.7 Coulombs. What is the value of the electric field if the plates are 0.5 mm apart?

a) 2.43 kV/m.
b) 2.79 kV/m.
c) 3.21 kV/m.
d) 3.7 kV/m.
e) 4.25 kV/m.

8) If a 21 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=94 V is x2 + y2 + z2 = R2, where R=

a) 1.371E+00 m
b) 1.509E+00 m
c) 1.659E+00 m
d) 1.825E+00 m
e) 2.008E+00 m

9) A proton is accellerated (at rest) from a plate held at 729.8 volts to a plate at zero volts. What is the final speed?

a) 1.7 x 105 m/s.
b) 2.5 x 105 m/s.
c) 3.7 x 105 m/s.
d) 5.6 x 105 m/s.
e) 8.4 x 105 m/s.

10) What voltage is required to stop a proton moving at a speed of 1.6 x 104 m/s?

a) 4 x 10-1 volts
b) 5.9 x 10-1 volts
c) 8.9 x 10-1 volts
d) 1.3 x 100 volts
e) 2 x 100 volts

#### T3 M2

1) What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

a) 3.5 x 10-2 volts
b) 5.3 x 10-2 volts
c) 7.9 x 10-2 volts
d) 1.2 x 10-1 volts
e) 1.8 x 10-1 volts
2)
A Van de Graff generator has a 124 cm diameter metal sphere that produces 270 kV near its surface. What is the excess charge on the sphere?
a) 1.539E+01 μC
b) 1.693E+01 μC
c) 1.863E+01 μC
d) 2.049E+01 μC
e) 2.254E+01 μC

3) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

a) 1.28 J.
b) 1.47 J.
c) 1.69 J.
d) 1.94 J.
e) 2.24 J.
4)
What is the net capacitance if C1=4.75 μF, C2=2.77 μF, and C3=2.47 μF in the configuration shown?
a) 4.220E+00 μF
b) 4.642E+00 μF
c) 5.106E+00 μF
d) 5.616E+00 μF
e) 6.178E+00 μF

5) If a 24 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=97 V is x2 + y2 + z2 = R2, where R=

a) 1.838E+00 m
b) 2.022E+00 m
c) 2.224E+00 m
d) 2.446E+00 m
e) 2.691E+00 m

6) A proton is accellerated (at rest) from a plate held at 729.8 volts to a plate at zero volts. What is the final speed?

a) 1.7 x 105 m/s.
b) 2.5 x 105 m/s.
c) 3.7 x 105 m/s.
d) 5.6 x 105 m/s.
e) 8.4 x 105 m/s.
7)
In the figure shown C1=17.9 μF, C2=2.76 μF, and C3=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C1?
a) 5.969E+01 μC
b) 6.566E+01 μC
c) 7.222E+01 μC
d) 7.944E+01 μC
e) 8.739E+01 μC

8) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

a) 1.91 kV/m.
b) 2.19 kV/m.
c) 2.52 kV/m.
d) 2.9 kV/m.
e) 3.33 kV/m.
9)
An electron gun has parallel plates separated by 5.02 cm and gives electrons 16 keV of energy. What force would the field between the plates exert on a 0.609 μC charge that gets between the plates?
a) 1.604E-01 N
b) 1.765E-01 N
c) 1.941E-01 N
d) 2.135E-01 N
e) 2.349E-01 N

10) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

a) 2319 N.
b) 2667 N.
c) 3067 N.
d) 3527 N.
e) 4056 N.

### T3 N0

1) Assume that a 29 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (6 cm, 0°) and P2 is at (12 cm, 77°).

a) 1.483E+03 V
b) 1.632E+03 V
c) 1.795E+03 V
d) 1.975E+03 V
e) 2.172E+03 V

2) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.

a) 3.288E+06 m/s
b) 3.617E+06 m/s
c) 3.979E+06 m/s
d) 4.376E+06 m/s
e) 4.814E+06 m/s

3) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=

a) 2.139E+00 m
b) 2.353E+00 m
c) 2.588E+00 m
d) 2.847E+00 m
e) 3.132E+00 m
4)
In the figure shown C1=16.9 μF, C2=2.86 μF, and C3=5.1 μF. The voltage source provides ε=9.98 V. What is the energy stored in C2?
a) 1.764E+01 μJ
b) 1.940E+01 μJ
c) 2.134E+01 μJ
d) 2.348E+01 μJ
e) 2.583E+01 μJ
5)
In the figure shown C1=19.2 μF, C2=2.86 μF, and C3=5.03 μF. The voltage source provides ε=9.46 V. What is the charge on C1?
a) 4.809E+01 μC
b) 5.290E+01 μC
c) 5.819E+01 μC
d) 6.401E+01 μC
e) 7.041E+01 μC

6) The same parallel plate capacitor, with area 0.75 m2, plate separation 0.53mm, and an applied voltage of 3.55 kV. How much charge is stored?

a) 29.25 μC.
b) 33.63 μC.
c) 38.68 μC.
d) 44.48 μC.
e) 51.15 μC.

7) A parallel plate capacitor has both plates with an area of 1.35 m2. The separation between the plates is 1.23mm. Applied to the plates is a potential difference of 2.65 kV. What is the capacitance?

a) 7.35 nF.
b) 8.45 nF.
c) 9.72 nF.
d) 11.18 nF.
e) 12.85 nF.

8) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 0.38 J.
b) 0.43 J.
c) 0.5 J.
d) 0.57 J.
e) 0.66 J.

9) A proton is accellerated (at rest) from a plate held at 767.8 volts to a plate at zero volts. What is the final speed?

a) 1.1 x 105 m/s.
b) 1.7 x 105 m/s.
c) 2.6 x 105 m/s.
d) 3.8 x 105 m/s.
e) 5.8 x 105 m/s.

10) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?

a) 3.4 x 101 volts
b) 5.1 x 101 volts
c) 7.7 x 101 volts
d) 1.2 x 102 volts
e) 1.7 x 102 volts

#### T3 N1

1) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?

a) 3.4 x 101 volts
b) 5.1 x 101 volts
c) 7.7 x 101 volts
d) 1.2 x 102 volts
e) 1.7 x 102 volts

2) A parallel plate capacitor has both plates with an area of 1.05 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 4.35 kV. What is the capacitance?

a) 11.16 nF.
b) 12.83 nF.
c) 14.76 nF.
d) 16.97 nF.
e) 19.52 nF.

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.

a) 3.288E+06 m/s
b) 3.617E+06 m/s
c) 3.979E+06 m/s
d) 4.376E+06 m/s
e) 4.814E+06 m/s

4) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=43 V is x2 + y2 + z2 = R2, where R=

a) 2.299E+00 m
b) 2.529E+00 m
c) 2.782E+00 m
d) 3.060E+00 m
e) 3.366E+00 m
5)
In the figure shown C1=17.9 μF, C2=2.76 μF, and C3=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C1?
a) 5.969E+01 μC
b) 6.566E+01 μC
c) 7.222E+01 μC
d) 7.944E+01 μC
e) 8.739E+01 μC

6) Assume that a 25 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (5 cm, 0°) and P2 is at (13 cm, 70°).

a) 2.285E+03 V
b) 2.514E+03 V
c) 2.765E+03 V
d) 3.042E+03 V
e) 3.346E+03 V
7)
In the figure shown C1=15.7 μF, C2=2.87 μF, and C3=5.46 μF. The voltage source provides ε=5.38 V. What is the energy stored in C2?
a) 6.890E+00 μJ
b) 7.579E+00 μJ
c) 8.337E+00 μJ
d) 9.171E+00 μJ
e) 1.009E+01 μJ

8) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

a) 2.23 J.
b) 2.56 J.
c) 2.94 J.
d) 3.39 J.
e) 3.89 J.

9) A proton is accellerated (at rest) from a plate held at 4.7 volts to a plate at zero volts. What is the final speed?

a) 5.9 x 103 m/s.
b) 8.9 x 103 m/s.
c) 1.3 x 104 m/s.
d) 2 x 104 m/s.
e) 3 x 104 m/s.

10) The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

a) 40.39 μC.
b) 46.45 μC.
c) 53.42 μC.
d) 61.43 μC.
e) 70.65 μC.

#### T3 N2

1)
In the figure shown C1=19.0 μF, C2=2.35 μF, and C3=5.22 μF. The voltage source provides ε=6.01 V. What is the charge on C1?
a) 2.444E+01 μC
b) 2.689E+01 μC
c) 2.958E+01 μC
d) 3.253E+01 μC
e) 3.579E+01 μC

2) Calculate the final speed of a free electron accelerated from rest through a potential difference of 53 V.

a) 3.244E+06 m/s
b) 3.568E+06 m/s
c) 3.925E+06 m/s
d) 4.318E+06 m/s
e) 4.750E+06 m/s

3) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (7 cm, 0°) and P2 is at (16 cm, 11°).

a) 3.581E+02 V
b) 3.939E+02 V
c) 4.333E+02 V
d) 4.767E+02 V
e) 5.243E+02 V

4) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

a) 0.81 J.
b) 0.93 J.
c) 1.07 J.
d) 1.23 J.
e) 1.41 J.

5) The same parallel plate capacitor, with area 0.55 m2, plate separation 0.53mm, and an applied voltage of 4.25 kV. How much charge is stored?

a) 39.05 μC.
b) 44.91 μC.
c) 51.64 μC.
d) 59.39 μC.
e) 68.3 μC.

6) A parallel plate capacitor has both plates with an area of 1.15 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 2.25 kV. What is the capacitance?

a) 16.16 nF.
b) 18.59 nF.
c) 21.37 nF.
d) 24.58 nF.
e) 28.27 nF.
7)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
a) 6.750E+00 μJ
b) 7.425E+00 μJ
c) 8.168E+00 μJ
d) 8.984E+00 μJ
e) 9.883E+00 μJ

8) A proton is accelerated (at rest) from a plate held at 333.6 volts to a plate at zero volts. What is the final speed?

a) 1.1 x 105 m/s.
b) 1.7 x 105 m/s.
c) 2.5 x 105 m/s.
d) 3.8 x 105 m/s.
e) 5.7 x 105 m/s.

9) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x2 + y2 + z2 = R2, where R=

a) 5.169E+00 m
b) 5.686E+00 m
c) 6.255E+00 m
d) 6.880E+00 m
e) 7.568E+00 m

10) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

a) 2.3 x 105 volts
b) 3.4 x 105 volts
c) 5.1 x 105 volts
d) 7.7 x 105 volts
e) 1.2 x 106 volts

### T3 O0

1) When a 6.24 V battery operates a 2.1 W bulb, how many electrons pass through it each second?

a) 1.435E+18 electrons
b) 1.578E+18 electrons
c) 1.736E+18 electrons
d) 1.910E+18 electrons
e) 2.101E+18 electrons

2) A 12.0 V battery can move 26,000 C of charge. How many Joules does it deliver?

a) 2.836E+05 J
b) 3.120E+05 J
c) 3.432E+05 J
d) 3.775E+05 J
e) 4.153E+05 J

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.

a) 5.102E+06 m/s
b) 5.612E+06 m/s
c) 6.173E+06 m/s
d) 6.791E+06 m/s
e) 7.470E+06 m/s
4)
In the figure shown C1=20.6 μF, C2=2.38 μF, and C3=5.66 μF. The voltage source provides ε=12.6 V. What is the charge on C1?
a) 5.474E+01 μC
b) 6.022E+01 μC
c) 6.624E+01 μC
d) 7.287E+01 μC
e) 8.015E+01 μC

5) An empty parallel-plate capacitor with metal plates has an area of 2.82 m2, separated by 1.29 mm. How much charge does it store if the voltage is 7.420E+03 V?

a) 1.187E+02 μC
b) 1.306E+02 μC
c) 1.436E+02 μC
d) 1.580E+02 μC
e) 1.738E+02 μC

6) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 0.38 J.
b) 0.43 J.
c) 0.5 J.
d) 0.57 J.
e) 0.66 J.

7) The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

a) 40.39 μC.
b) 46.45 μC.
c) 53.42 μC.
d) 61.43 μC.
e) 70.65 μC.

8) A parallel plate capacitor has both plates with an area of 1.05 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 4.35 kV. What is the capacitance?

a) 11.16 nF.
b) 12.83 nF.
c) 14.76 nF.
d) 16.97 nF.
e) 19.52 nF.

9) What voltage is required to stop a proton moving at a speed of 1.6 x 104 m/s?

a) 4 x 10-1 volts
b) 5.9 x 10-1 volts
c) 8.9 x 10-1 volts
d) 1.3 x 100 volts
e) 2 x 100 volts

10) How fast is a 2493 eV electron moving?

a) 1.3 x 107 m/s.
b) 2 x 107 m/s.
c) 3 x 107 m/s.
d) 4.4 x 107 m/s.
e) 6.7 x 107 m/s.

#### T3 O1

1) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

a) 3.28 nF.
b) 3.77 nF.
c) 4.34 nF.
d) 4.99 nF.
e) 5.74 nF.

2) How fast is a 2648 eV electron moving?

a) 3.1 x 107 m/s.
b) 4.6 x 107 m/s.
c) 6.9 x 107 m/s.
d) 1 x 108 m/s.
e) 1.5 x 108 m/s.

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 83 V.

a) 4.466E+06 m/s
b) 4.912E+06 m/s
c) 5.403E+06 m/s
d) 5.944E+06 m/s
e) 6.538E+06 m/s

4) What voltage is required to stop a proton moving at a speed of 8 x 107 m/s?

a) 3.3 x 107 volts
b) 5 x 107 volts
c) 7.5 x 107 volts
d) 1.1 x 108 volts
e) 1.7 x 108 volts
5)
In the figure shown C1=16.9 μF, C2=2.3 μF, and C3=4.67 μF. The voltage source provides ε=13.4 V. What is the charge on C1?
a) 6.011E+01 μC
b) 6.613E+01 μC
c) 7.274E+01 μC
d) 8.001E+01 μC
e) 8.801E+01 μC

6) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

a) 42.21 μC.
b) 48.54 μC.
c) 55.82 μC.
d) 64.19 μC.
e) 73.82 μC.

7) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?

a) 3.278E+05 J
b) 3.606E+05 J
c) 3.967E+05 J
d) 4.364E+05 J
e) 4.800E+05 J

8) When a 1.95 V battery operates a 2.8 W bulb, how many electrons pass through it each second?

a) 7.407E+18 electrons
b) 8.147E+18 electrons
c) 8.962E+18 electrons
d) 9.858E+18 electrons
e) 1.084E+19 electrons

9) An empty parallel-plate capacitor with metal plates has an area of 2.16 m2, separated by 1.12 mm. How much charge does it store if the voltage is 1.530E+03 V?

a) 2.375E+01 μC
b) 2.613E+01 μC
c) 2.874E+01 μC
d) 3.161E+01 μC
e) 3.477E+01 μC

10) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

a) 1.81 J.
b) 2.08 J.
c) 2.39 J.
d) 2.75 J.
e) 3.16 J.

#### T3 O2

1) A parallel plate capacitor has both plates with an area of 1.15 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 2.25 kV. What is the capacitance?

a) 16.16 nF.
b) 18.59 nF.
c) 21.37 nF.
d) 24.58 nF.
e) 28.27 nF.
2)
In the figure shown C1=19.9 μF, C2=2.25 μF, and C3=4.75 μF. The voltage source provides ε=6.93 V. What is the charge on C1?
a) 2.451E+01 μC
b) 2.696E+01 μC
c) 2.966E+01 μC
d) 3.262E+01 μC
e) 3.589E+01 μC

3) The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

a) 23.91 μC.
b) 27.5 μC.
c) 31.62 μC.
d) 36.37 μC.
e) 41.82 μC.

4) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?

a) 1.967E+05 J
b) 2.164E+05 J
c) 2.380E+05 J
d) 2.618E+05 J
e) 2.880E+05 J

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 46 V.

a) 3.022E+06 m/s
b) 3.324E+06 m/s
c) 3.657E+06 m/s
d) 4.023E+06 m/s
e) 4.425E+06 m/s

6) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

a) 1.81 J.
b) 2.08 J.
c) 2.39 J.
d) 2.75 J.
e) 3.16 J.

7) How fast is a 2952 eV electron moving?

a) 6.4 x 106 m/s.
b) 9.5 x 106 m/s.
c) 1.4 x 107 m/s.
d) 2.1 x 107 m/s.
e) 3.2 x 107 m/s.

8) What voltage is required to stop a proton moving at a speed of 4.2 x 103 m/s?

a) 6.1 x 10-2 volts
b) 9.2 x 10-2 volts
c) 1.4 x 10-1 volts
d) 2.1 x 10-1 volts
e) 3.1 x 10-1 volts

9) An empty parallel-plate capacitor with metal plates has an area of 2.78 m2, separated by 1.16 mm. How much charge does it store if the voltage is 8.980E+03 V?

a) 1.432E+02 μC
b) 1.575E+02 μC
c) 1.732E+02 μC
d) 1.906E+02 μC
e) 2.096E+02 μC

10) When a 2.59 V battery operates a 2.89 W bulb, how many electrons pass through it each second?

a) 5.756E+18 electrons
b) 6.331E+18 electrons
c) 6.964E+18 electrons
d) 7.661E+18 electrons
e) 8.427E+18 electrons

### T3 P0

1)
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.39 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.56 cm, y=2.19 cm)? Note that following the textbook's example, the y-value of the field point at 2.19 cm matches the disance of the positive charge above the x-axis.
a) 3.852E+02 V
b) 4.238E+02 V
c) 4.661E+02 V
d) 5.127E+02 V
e) 5.640E+02 V
2)
An electron gun has parallel plates separated by 5.38 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.427 μC charge that gets between the plates?
a) 3.542E-01 N
b) 3.896E-01 N
c) 4.286E-01 N
d) 4.714E-01 N
e) 5.186E-01 N
3)
A Van de Graff generator has a 76 cm diameter metal sphere that produces 193 kV near its surface. What is the excess charge on the sphere?
a) 7.418E+00 μC
b) 8.160E+00 μC
c) 8.976E+00 μC
d) 9.874E+00 μC
e) 1.086E+01 μC
4)
In the figure shown C1=19.6 μF, C2=2.15 μF, and C3=5.36 μF. The voltage source provides ε=11.6 V. What is the charge on C1?
a) 6.298E+01 μC
b) 6.928E+01 μC
c) 7.621E+01 μC
d) 8.383E+01 μC
e) 9.221E+01 μC
5)
In the figure shown C1=15.7 μF, C2=2.87 μF, and C3=5.46 μF. The voltage source provides ε=5.38 V. What is the energy stored in C2?
a) 6.890E+00 μJ
b) 7.579E+00 μJ
c) 8.337E+00 μJ
d) 9.171E+00 μJ
e) 1.009E+01 μJ

6) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

a) 2.23 J.
b) 2.56 J.
c) 2.94 J.
d) 3.39 J.
e) 3.89 J.

7) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

a) 3180 N.
b) 3657 N.
c) 4206 N.
d) 4837 N.
e) 5562 N.

8) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

a) 1.57 kV/m.
b) 1.8 kV/m.
c) 2.07 kV/m.
d) 2.38 kV/m.
e) 2.74 kV/m.

9) A proton is accellerated (at rest) from a plate held at 318.6 volts to a plate at zero volts. What is the final speed?

a) 1.6 x 105 m/s.
b) 2.5 x 105 m/s.
c) 3.7 x 105 m/s.
d) 5.6 x 105 m/s.
e) 8.3 x 105 m/s.

10) What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

a) 3.5 x 10-2 volts
b) 5.3 x 10-2 volts
c) 7.9 x 10-2 volts
d) 1.2 x 10-1 volts
e) 1.8 x 10-1 volts

#### T3 P1

1) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

a) 2.3 x 105 volts
b) 3.4 x 105 volts
c) 5.1 x 105 volts
d) 7.7 x 105 volts
e) 1.2 x 106 volts

2) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

a) 2319 N.
b) 2667 N.
c) 3067 N.
d) 3527 N.
e) 4056 N.

3) A proton is accellerated (at rest) from a plate held at 767.8 volts to a plate at zero volts. What is the final speed?

a) 1.1 x 105 m/s.
b) 1.7 x 105 m/s.
c) 2.6 x 105 m/s.
d) 3.8 x 105 m/s.
e) 5.8 x 105 m/s.
4)
A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What is the excess charge on the sphere?
a) 1.032E+01 μC
b) 1.135E+01 μC
c) 1.249E+01 μC
d) 1.374E+01 μC
e) 1.511E+01 μC

5) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

a) 1.91 kV/m.
b) 2.19 kV/m.
c) 2.52 kV/m.
d) 2.9 kV/m.
e) 3.33 kV/m.
6)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.
a) 5.134E+02 V
b) 5.648E+02 V
c) 6.212E+02 V
d) 6.834E+02 V
e) 7.517E+02 V
7)
In the figure shown C1=19.2 μF, C2=2.24 μF, and C3=4.93 μF. The voltage source provides ε=11.7 V. What is the energy stored in C2?
a) 1.303E+01 μJ
b) 1.434E+01 μJ
c) 1.577E+01 μJ
d) 1.735E+01 μJ
e) 1.908E+01 μJ
8)
In the figure shown C1=18.0 μF, C2=2.88 μF, and C3=5.34 μF. The voltage source provides ε=11.9 V. What is the charge on C1?
a) 5.045E+01 μC
b) 5.550E+01 μC
c) 6.105E+01 μC
d) 6.715E+01 μC
e) 7.387E+01 μC
9)
An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 μC charge that gets between the plates?
a) 3.977E-01 N
b) 4.374E-01 N
c) 4.812E-01 N
d) 5.293E-01 N
e) 5.822E-01 N

10) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

a) 2.23 J.
b) 2.56 J.
c) 2.94 J.
d) 3.39 J.
e) 3.89 J.

#### T3 P2

1) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

a) 0.81 J.
b) 0.93 J.
c) 1.07 J.
d) 1.23 J.
e) 1.41 J.

2) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 4025 N.
b) 4628 N.
c) 5322 N.
d) 6121 N.
e) 7039 N.
3)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.
a) 5.134E+02 V
b) 5.648E+02 V
c) 6.212E+02 V
d) 6.834E+02 V
e) 7.517E+02 V
4)
In the figure shown C1=18.1 μF, C2=2.13 μF, and C3=5.48 μF. The voltage source provides ε=14.6 V. What is the energy stored in C2?
a) 1.645E+01 μJ
b) 1.809E+01 μJ
c) 1.990E+01 μJ
d) 2.189E+01 μJ
e) 2.408E+01 μJ
5)
An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 μC charge that gets between the plates?
a) 8.206E-01 N
b) 9.027E-01 N
c) 9.930E-01 N
d) 1.092E+00 N
e) 1.201E+00 N

6) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

a) 1.57 kV/m.
b) 1.8 kV/m.
c) 2.07 kV/m.
d) 2.38 kV/m.
e) 2.74 kV/m.
7)
In the figure shown C1=17.8 μF, C2=2.22 μF, and C3=5.71 μF. The voltage source provides ε=13.9 V. What is the charge on C1?
a) 7.625E+01 μC
b) 8.388E+01 μC
c) 9.227E+01 μC
d) 1.015E+02 μC
e) 1.116E+02 μC
8)
A Van de Graff generator has a 119 cm diameter metal sphere that produces 248 kV near its surface. What is the excess charge on the sphere?
a) 1.234E+01 μC
b) 1.357E+01 μC
c) 1.493E+01 μC
d) 1.642E+01 μC
e) 1.806E+01 μC

9) A proton is accellerated (at rest) from a plate held at 318.6 volts to a plate at zero volts. What is the final speed?

a) 1.6 x 105 m/s.
b) 2.5 x 105 m/s.
c) 3.7 x 105 m/s.
d) 5.6 x 105 m/s.
e) 8.3 x 105 m/s.

10) What voltage is required to stop a proton moving at a speed of 7.6 x 106 m/s?

a) 3 x 105 volts
b) 4.5 x 105 volts
c) 6.8 x 105 volts
d) 1 x 106 volts
e) 1.5 x 106 volts

### T3 Q0

1)
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.51 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.
a) 5.261E+02 V
b) 5.787E+02 V
c) 6.365E+02 V
d) 7.002E+02 V
e) 7.702E+02 V

2) A 8 C charge is separated from a 13 C charge by distance of 7 cm. What is the work done by increasing this separation to 13 cm?

a) 4.209E-06 J
b) 4.630E-06 J
c) 5.093E-06 J
d) 5.603E-06 J
e) 6.163E-06 J

3) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (16 cm, 71°).

a) 1.969E+02 V
b) 2.166E+02 V
c) 2.383E+02 V
d) 2.621E+02 V
e) 2.884E+02 V

4) An empty parallel-plate capacitor with metal plates has an area of 2.66 m2, separated by 1.18 mm. How much charge does it store if the voltage is 6.170E+03 V?

a) 1.231E+02 μC
b) 1.355E+02 μC
c) 1.490E+02 μC
d) 1.639E+02 μC
e) 1.803E+02 μC
5)
In the figure shown C1=16.1 μF, C2=2.14 μF, and C3=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C2?
a) 1.199E+01 μJ
b) 1.319E+01 μJ
c) 1.450E+01 μJ
d) 1.595E+01 μJ
e) 1.755E+01 μJ

6) A 0.5 Farad capacitor is charged with 1.3 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

a) 3.71 kV/m.
b) 4.27 kV/m.
c) 4.91 kV/m.
d) 5.65 kV/m.
e) 6.5 kV/m.

7) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

a) 0.44 J.
b) 0.51 J.
c) 0.58 J.
d) 0.67 J.
e) 0.77 J.

8) The same parallel plate capacitor, with area 1.35 m2, plate separation 1.23mm, and an applied voltage of 2.65 kV. How much charge is stored?

a) 16.93 μC.
b) 19.47 μC.
c) 22.39 μC.
d) 25.75 μC.
e) 29.62 μC.

9) How fast is a 2672 eV electron moving?

a) 6.1 x 106 m/s.
b) 9.1 x 106 m/s.
c) 1.4 x 107 m/s.
d) 2 x 107 m/s.
e) 3.1 x 107 m/s.

10) A proton is accellerated (at rest) from a plate held at 775.8 volts to a plate at zero volts. What is the final speed?

a) 7.6 x 104 m/s.
b) 1.1 x 105 m/s.
c) 1.7 x 105 m/s.
d) 2.6 x 105 m/s.
e) 3.9 x 105 m/s.

#### T3 Q1

1) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 1.08 J.
b) 1.24 J.
c) 1.43 J.
d) 1.64 J.
e) 1.89 J.

2) A 7 C charge is separated from a 15 C charge by distance of 14 cm. What is the work done by increasing this separation to 20 cm?

a) 1.519E-06 J
b) 1.671E-06 J
c) 1.838E-06 J
d) 2.022E-06 J
e) 2.224E-06 J

3) Assume that a 29 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (6 cm, 0°) and P2 is at (12 cm, 77°).

a) 1.483E+03 V
b) 1.632E+03 V
c) 1.795E+03 V
d) 1.975E+03 V
e) 2.172E+03 V

4) How fast is a 2758 eV electron moving?

a) 9.2 x 106 m/s.
b) 1.4 x 107 m/s.
c) 2.1 x 107 m/s.
d) 3.1 x 107 m/s.
e) 4.7 x 107 m/s.
5)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
a) 6.750E+00 μJ
b) 7.425E+00 μJ
c) 8.168E+00 μJ
d) 8.984E+00 μJ
e) 9.883E+00 μJ

6) A 1.4 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

a) 0.86 kV/m.
b) 0.99 kV/m.
c) 1.14 kV/m.
d) 1.31 kV/m.
e) 1.51 kV/m.

7) The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

a) 23.91 μC.
b) 27.5 μC.
c) 31.62 μC.
d) 36.37 μC.
e) 41.82 μC.

8) A proton is accellerated (at rest) from a plate held at 4.7 volts to a plate at zero volts. What is the final speed?

a) 5.9 x 103 m/s.
b) 8.9 x 103 m/s.
c) 1.3 x 104 m/s.
d) 2 x 104 m/s.
e) 3 x 104 m/s.

9) An empty parallel-plate capacitor with metal plates has an area of 1.94 m2, separated by 1.36 mm. How much charge does it store if the voltage is 8.530E+03 V?

a) 7.359E+01 μC
b) 8.094E+01 μC
c) 8.904E+01 μC
d) 9.794E+01 μC
e) 1.077E+02 μC
10)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.31 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.47 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
a) 8.672E+02 V
b) 9.539E+02 V
c) 1.049E+03 V
d) 1.154E+03 V
e) 1.270E+03 V

#### T3 Q2

1) An empty parallel-plate capacitor with metal plates has an area of 2.78 m2, separated by 1.16 mm. How much charge does it store if the voltage is 8.980E+03 V?

a) 1.432E+02 μC
b) 1.575E+02 μC
c) 1.732E+02 μC
d) 1.906E+02 μC
e) 2.096E+02 μC

2) A 7 C charge is separated from a 12 C charge by distance of 11 cm. What is the work done by increasing this separation to 19 cm?

a) 2.890E-06 J
b) 3.179E-06 J
c) 3.497E-06 J
d) 3.846E-06 J
e) 4.231E-06 J

3) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

a) 0.91 J.
b) 1.05 J.
c) 1.21 J.
d) 1.39 J.
e) 1.6 J.

4) Assume that a 25 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (5 cm, 0°) and P2 is at (13 cm, 70°).

a) 2.285E+03 V
b) 2.514E+03 V
c) 2.765E+03 V
d) 3.042E+03 V
e) 3.346E+03 V
5)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
a) 6.750E+00 μJ
b) 7.425E+00 μJ
c) 8.168E+00 μJ
d) 8.984E+00 μJ
e) 9.883E+00 μJ
6)
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.33 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
a) 4.324E+02 V
b) 4.757E+02 V
c) 5.232E+02 V
d) 5.755E+02 V
e) 6.331E+02 V

7) A 0.9 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

a) 2.68 kV/m.
b) 3.08 kV/m.
c) 3.54 kV/m.
d) 4.07 kV/m.
e) 4.69 kV/m.

8) How fast is a 2355 eV electron moving?

a) 1.9 x 107 m/s.
b) 2.9 x 107 m/s.
c) 4.3 x 107 m/s.
d) 6.5 x 107 m/s.
e) 9.7 x 107 m/s.

9) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

a) 3.9 x 104 m/s.
b) 5.8 x 104 m/s.
c) 8.7 x 104 m/s.
d) 1.3 x 105 m/s.
e) 2 x 105 m/s.

10) The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

a) 40.39 μC.
b) 46.45 μC.
c) 53.42 μC.
d) 61.43 μC.
e) 70.65 μC.

### T3 R0

1)
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.33 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
a) 4.324E+02 V
b) 4.757E+02 V
c) 5.232E+02 V
d) 5.755E+02 V
e) 6.331E+02 V

2) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (7 cm, 0°) and P2 is at (16 cm, 11°).

a) 3.581E+02 V
b) 3.939E+02 V
c) 4.333E+02 V
d) 4.767E+02 V
e) 5.243E+02 V

3) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?

a) 3.278E+05 J
b) 3.606E+05 J
c) 3.967E+05 J
d) 4.364E+05 J
e) 4.800E+05 J

4) An empty parallel-plate capacitor with metal plates has an area of 2.16 m2, separated by 1.12 mm. How much charge does it store if the voltage is 1.530E+03 V?

a) 2.375E+01 μC
b) 2.613E+01 μC
c) 2.874E+01 μC
d) 3.161E+01 μC
e) 3.477E+01 μC
5)
What is the net capacitance if C1=2.96 μF, C2=3.95 μF, and C3=3.74 μF in the configuration shown?
a) 4.489E+00 μF
b) 4.938E+00 μF
c) 5.432E+00 μF
d) 5.975E+00 μF
e) 6.573E+00 μF

6) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.6 mm apart?

a) 412 N.
b) 474 N.
c) 545 N.
d) 626 N.
e) 720 N.

7) The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

a) 23.91 μC.
b) 27.5 μC.
c) 31.62 μC.
d) 36.37 μC.
e) 41.82 μC.

8) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 1.08 J.
b) 1.24 J.
c) 1.43 J.
d) 1.64 J.
e) 1.89 J.

9) How fast is a 2672 eV electron moving?

a) 6.1 x 106 m/s.
b) 9.1 x 106 m/s.
c) 1.4 x 107 m/s.
d) 2 x 107 m/s.
e) 3.1 x 107 m/s.

10) A proton is accelerated (at rest) from a plate held at 333.6 volts to a plate at zero volts. What is the final speed?

a) 1.1 x 105 m/s.
b) 1.7 x 105 m/s.
c) 2.5 x 105 m/s.
d) 3.8 x 105 m/s.
e) 5.7 x 105 m/s.

#### T3 R1

1) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

a) 3180 N.
b) 3657 N.
c) 4206 N.
d) 4837 N.
e) 5562 N.

2) A 12.0 V battery can move 29,000 C of charge. How many Joules does it deliver?

a) 2.615E+05 J
b) 2.876E+05 J
c) 3.164E+05 J
d) 3.480E+05 J
e) 3.828E+05 J
3)
A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.
a) 4.590E+02 V
b) 5.049E+02 V
c) 5.554E+02 V
d) 6.109E+02 V
e) 6.720E+02 V
4)
What is the net capacitance if C1=2.49 μF, C2=4.24 μF, and C3=2.96 μF in the configuration shown?
a) 4.117E+00 μF
b) 4.529E+00 μF
c) 4.982E+00 μF
d) 5.480E+00 μF
e) 6.028E+00 μF

5) An empty parallel-plate capacitor with metal plates has an area of 1.94 m2, separated by 1.27 mm. How much charge does it store if the voltage is 8.780E+03 V?

a) 1.080E+02 μC
b) 1.188E+02 μC
c) 1.306E+02 μC
d) 1.437E+02 μC
e) 1.581E+02 μC

6) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

a) 2.23 J.
b) 2.56 J.
c) 2.94 J.
d) 3.39 J.
e) 3.89 J.

7) How fast is a 2928 eV electron moving?

a) 6.3 x 106 m/s.
b) 9.5 x 106 m/s.
c) 1.4 x 107 m/s.
d) 2.1 x 107 m/s.
e) 3.2 x 107 m/s.

8) A proton is accelerated (at rest) from a plate held at 333.6 volts to a plate at zero volts. What is the final speed?

a) 1.1 x 105 m/s.
b) 1.7 x 105 m/s.
c) 2.5 x 105 m/s.
d) 3.8 x 105 m/s.
e) 5.7 x 105 m/s.

9) Assume that a 11 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (12 cm, 14°).

a) 1.876E+02 V
b) 2.063E+02 V
c) 2.270E+02 V
d) 2.497E+02 V
e) 2.746E+02 V

10) The same parallel plate capacitor, with area 0.75 m2, plate separation 1.53mm, and an applied voltage of 5.05 kV. How much charge is stored?

a) 16.57 μC.
b) 19.06 μC.
c) 21.92 μC.
d) 25.21 μC.
e) 28.99 μC.

#### T3 R2

1) The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

a) 40.39 μC.
b) 46.45 μC.
c) 53.42 μC.
d) 61.43 μC.
e) 70.65 μC.

2) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 1473 N.
b) 1694 N.
c) 1948 N.
d) 2241 N.
e) 2577 N.

3) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?

a) 1.967E+05 J
b) 2.164E+05 J
c) 2.380E+05 J
d) 2.618E+05 J
e) 2.880E+05 J

4) How fast is a 2663 eV electron moving?

a) 3.1 x 107 m/s.
b) 4.6 x 107 m/s.
c) 6.9 x 107 m/s.
d) 1 x 108 m/s.
e) 1.5 x 108 m/s.

5) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (7 cm, 0°) and P2 is at (16 cm, 11°).

a) 3.581E+02 V
b) 3.939E+02 V
c) 4.333E+02 V
d) 4.767E+02 V
e) 5.243E+02 V

6) A proton is accellerated (at rest) from a plate held at 588.2 volts to a plate at zero volts. What is the final speed?

a) 6.6 x 104 m/s.
b) 10 x 104 m/s.
c) 1.5 x 105 m/s.
d) 2.2 x 105 m/s.
e) 3.4 x 105 m/s.

7) An empty parallel-plate capacitor with metal plates has an area of 2.21 m2, separated by 1.25 mm. How much charge does it store if the voltage is 1.580E+03 V?

a) 2.249E+01 μC
b) 2.473E+01 μC
c) 2.721E+01 μC
d) 2.993E+01 μC
e) 3.292E+01 μC
8)
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.33 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
a) 4.324E+02 V
b) 4.757E+02 V
c) 5.232E+02 V
d) 5.755E+02 V
e) 6.331E+02 V

9) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

a) 0.81 J.
b) 0.93 J.
c) 1.07 J.
d) 1.23 J.
e) 1.41 J.
10)
What is the net capacitance if C1=4.12 μF, C2=3.45 μF, and C3=3.41 μF in the configuration shown?
a) 4.370E+00 μF
b) 4.807E+00 μF
c) 5.288E+00 μF
d) 5.816E+00 μF
e) 6.398E+00 μF

### T3 S0

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.

a) 1.942E+06 m/s
b) 2.137E+06 m/s
c) 2.350E+06 m/s
d) 2.585E+06 m/s
e) 2.844E+06 m/s

2) A 3 C charge is separated from a 11 C charge by distance of 12 cm. What is the work done by increasing this separation to 19 cm?

a) 8.278E-07 J
b) 9.106E-07 J
c) 1.002E-06 J
d) 1.102E-06 J
e) 1.212E-06 J

3) A 12.0 V battery can move 41,000 C of charge. How many Joules does it deliver?

a) 3.696E+05 J
b) 4.066E+05 J
c) 4.473E+05 J
d) 4.920E+05 J
e) 5.412E+05 J

4) An empty parallel-plate capacitor with metal plates has an area of 2.1 m2, separated by 1.13 mm. How much charge does it store if the voltage is 1.680E+03 V?

a) 2.764E+01 μC
b) 3.041E+01 μC
c) 3.345E+01 μC
d) 3.679E+01 μC
e) 4.047E+01 μC
5)
In the figure shown C1=17.9 μF, C2=2.76 μF, and C3=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C1?
a) 5.969E+01 μC
b) 6.566E+01 μC
c) 7.222E+01 μC
d) 7.944E+01 μC
e) 8.739E+01 μC

6) A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

a) 3.2 kV/m.
b) 3.68 kV/m.
c) 4.24 kV/m.
d) 4.87 kV/m.
e) 5.6 kV/m.

7) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 4025 N.
b) 4628 N.
c) 5322 N.
d) 6121 N.
e) 7039 N.

8) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

a) 0.91 J.
b) 1.05 J.
c) 1.21 J.
d) 1.39 J.
e) 1.6 J.

9) What voltage is required accelerate an electron at rest to a speed of 1.5 x 103 m/s?

a) 1.9 x 10-6 volts
b) 2.8 x 10-6 volts
c) 4.3 x 10-6 volts
d) 6.4 x 10-6 volts
e) 9.6 x 10-6 volts

10) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?

a) 3.4 x 101 volts
b) 5.1 x 101 volts
c) 7.7 x 101 volts
d) 1.2 x 102 volts
e) 1.7 x 102 volts

#### T3 S1

1) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

a) 4.4 x 10-6 volts
b) 6.6 x 10-6 volts
c) 9.9 x 10-6 volts
d) 1.5 x 10-5 volts
e) 2.2 x 10-5 volts
2)
In the figure shown C1=19.2 μF, C2=2.86 μF, and C3=5.03 μF. The voltage source provides ε=9.46 V. What is the charge on C1?
a) 4.809E+01 μC
b) 5.290E+01 μC
c) 5.819E+01 μC
d) 6.401E+01 μC
e) 7.041E+01 μC

3) What voltage is required to stop a proton moving at a speed of 8 x 107 m/s?

a) 3.3 x 107 volts
b) 5 x 107 volts
c) 7.5 x 107 volts
d) 1.1 x 108 volts
e) 1.7 x 108 volts

4) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 1473 N.
b) 1694 N.
c) 1948 N.
d) 2241 N.
e) 2577 N.

5) A 12.0 V battery can move 49,000 C of charge. How many Joules does it deliver?

a) 5.880E+05 J
b) 6.468E+05 J
c) 7.115E+05 J
d) 7.826E+05 J
e) 8.609E+05 J

6) An empty parallel-plate capacitor with metal plates has an area of 1.94 m2, separated by 1.27 mm. How much charge does it store if the voltage is 8.780E+03 V?

a) 1.080E+02 μC
b) 1.188E+02 μC
c) 1.306E+02 μC
d) 1.437E+02 μC
e) 1.581E+02 μC

7) A 2 C charge is separated from a 10 C charge by distance of 8 cm. What is the work done by increasing this separation to 14 cm?

a) 8.754E-07 J
b) 9.630E-07 J
c) 1.059E-06 J
d) 1.165E-06 J
e) 1.282E-06 J

8) A 0.8 Farad capacitor is charged with 1.7 Coulombs. What is the value of the electric field if the plates are 0.5 mm apart?

a) 2.43 kV/m.
b) 2.79 kV/m.
c) 3.21 kV/m.
d) 3.7 kV/m.
e) 4.25 kV/m.

9) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

a) 0.91 J.
b) 1.05 J.
c) 1.21 J.
d) 1.39 J.
e) 1.6 J.

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 81 V.

a) 4.411E+06 m/s
b) 4.853E+06 m/s
c) 5.338E+06 m/s
d) 5.872E+06 m/s
e) 6.459E+06 m/s

#### T3 S2

1) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

a) 1.28 J.
b) 1.47 J.
c) 1.69 J.
d) 1.94 J.
e) 2.24 J.

2) A 4 C charge is separated from a 9 C charge by distance of 9 cm. What is the work done by increasing this separation to 14 cm?

a) 8.769E-07 J
b) 9.646E-07 J
c) 1.061E-06 J
d) 1.167E-06 J
e) 1.284E-06 J

3) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?

a) 3.4 x 101 volts
b) 5.1 x 101 volts
c) 7.7 x 101 volts
d) 1.2 x 102 volts
e) 1.7 x 102 volts

4) What voltage is required accelerate an electron at rest to a speed of 1.7 x 105 m/s?

a) 1.6 x 10-2 volts
b) 2.4 x 10-2 volts
c) 3.7 x 10-2 volts
d) 5.5 x 10-2 volts
e) 8.2 x 10-2 volts

5) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?

a) 3.570E+05 J
b) 3.927E+05 J
c) 4.320E+05 J
d) 4.752E+05 J
e) 5.227E+05 J

6) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.

a) 3.031E+06 m/s
b) 3.335E+06 m/s
c) 3.668E+06 m/s
d) 4.035E+06 m/s
e) 4.438E+06 m/s

7) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 4025 N.
b) 4628 N.
c) 5322 N.
d) 6121 N.
e) 7039 N.

8) An empty parallel-plate capacitor with metal plates has an area of 1.73 m2, separated by 1.16 mm. How much charge does it store if the voltage is 1.130E+03 V?

a) 1.121E+01 μC
b) 1.233E+01 μC
c) 1.357E+01 μC
d) 1.492E+01 μC
e) 1.641E+01 μC

9) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

a) 1.57 kV/m.
b) 1.8 kV/m.
c) 2.07 kV/m.
d) 2.38 kV/m.
e) 2.74 kV/m.
10)
In the figure shown C1=19.4 μF, C2=2.49 μF, and C3=4.17 μF. The voltage source provides ε=6.35 V. What is the charge on C1?
a) 2.602E+01 μC
b) 2.862E+01 μC
c) 3.148E+01 μC
d) 3.463E+01 μC
e) 3.809E+01 μC

### T3 T0

1) When a 6.03 V battery operates a 1.56 W bulb, how many electrons pass through it each second?

a) 1.615E+18 electrons
b) 1.776E+18 electrons
c) 1.954E+18 electrons
d) 2.149E+18 electrons
e) 2.364E+18 electrons
2)
A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.51 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.85 cm, y=1.75 cm)? Note that following the textbook's example, the y-value of the field point at 1.75 cm matches the disance of the positive charge above the x-axis.
a) 2.073E+02 V
b) 2.281E+02 V
c) 2.509E+02 V
d) 2.760E+02 V
e) 3.035E+02 V

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.

a) 1.942E+06 m/s
b) 2.137E+06 m/s
c) 2.350E+06 m/s
d) 2.585E+06 m/s
e) 2.844E+06 m/s
4)
What is the net capacitance if C1=3.97 μF, C2=3.51 μF, and C3=2.18 μF in the configuration shown?
a) 3.038E+00 μF
b) 3.341E+00 μF
c) 3.675E+00 μF
d) 4.043E+00 μF
e) 4.447E+00 μF

5) An empty parallel-plate capacitor with metal plates has an area of 2.78 m2, separated by 1.16 mm. How much charge does it store if the voltage is 8.980E+03 V?

a) 1.432E+02 μC
b) 1.575E+02 μC
c) 1.732E+02 μC
d) 1.906E+02 μC
e) 2.096E+02 μC

6) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

a) 1.81 J.
b) 2.08 J.
c) 2.39 J.
d) 2.75 J.
e) 3.16 J.

7) A 0.5 Farad capacitor is charged with 1.3 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

a) 3.71 kV/m.
b) 4.27 kV/m.
c) 4.91 kV/m.
d) 5.65 kV/m.
e) 6.5 kV/m.

8) The same parallel plate capacitor, with area 0.75 m2, plate separation 0.53mm, and an applied voltage of 3.55 kV. How much charge is stored?

a) 29.25 μC.
b) 33.63 μC.
c) 38.68 μC.
d) 44.48 μC.
e) 51.15 μC.

9) A proton is accellerated (at rest) from a plate held at 4.7 volts to a plate at zero volts. What is the final speed?

a) 5.9 x 103 m/s.
b) 8.9 x 103 m/s.
c) 1.3 x 104 m/s.
d) 2 x 104 m/s.
e) 3 x 104 m/s.

10) What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

a) 3.5 x 10-2 volts
b) 5.3 x 10-2 volts
c) 7.9 x 10-2 volts
d) 1.2 x 10-1 volts
e) 1.8 x 10-1 volts

#### T3 T1

1) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?

a) 1.838E+18 electrons
b) 2.022E+18 electrons
c) 2.224E+18 electrons
d) 2.446E+18 electrons
e) 2.691E+18 electrons
2)
A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.
a) 4.590E+02 V
b) 5.049E+02 V
c) 5.554E+02 V
d) 6.109E+02 V
e) 6.720E+02 V

3) The same parallel plate capacitor, with area 0.75 m2, plate separation 0.53mm, and an applied voltage of 3.55 kV. How much charge is stored?

a) 29.25 μC.
b) 33.63 μC.
c) 38.68 μC.
d) 44.48 μC.
e) 51.15 μC.

4) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

a) 2.3 x 105 volts
b) 3.4 x 105 volts
c) 5.1 x 105 volts
d) 7.7 x 105 volts
e) 1.2 x 106 volts

5) An empty parallel-plate capacitor with metal plates has an area of 2.83 m2, separated by 1.14 mm. How much charge does it store if the voltage is 4.180E+03 V?

a) 6.275E+01 μC
b) 6.903E+01 μC
c) 7.593E+01 μC
d) 8.352E+01 μC
e) 9.188E+01 μC

6) A 0.9 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

a) 2.68 kV/m.
b) 3.08 kV/m.
c) 3.54 kV/m.
d) 4.07 kV/m.
e) 4.69 kV/m.

7) A proton is accellerated (at rest) from a plate held at 318.6 volts to a plate at zero volts. What is the final speed?

a) 1.6 x 105 m/s.
b) 2.5 x 105 m/s.
c) 3.7 x 105 m/s.
d) 5.6 x 105 m/s.
e) 8.3 x 105 m/s.

8) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.

a) 5.102E+06 m/s
b) 5.612E+06 m/s
c) 6.173E+06 m/s
d) 6.791E+06 m/s
e) 7.470E+06 m/s
9)
What is the net capacitance if C1=2.24 μF, C2=4.86 μF, and C3=3.64 μF in the configuration shown?
a) 4.275E+00 μF
b) 4.703E+00 μF
c) 5.173E+00 μF
d) 5.691E+00 μF
e) 6.260E+00 μF

10) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 0.38 J.
b) 0.43 J.
c) 0.5 J.
d) 0.57 J.
e) 0.66 J.

#### T3 T2

1) A 0.8 Farad capacitor is charged with 1.7 Coulombs. What is the value of the electric field if the plates are 0.5 mm apart?

a) 2.43 kV/m.
b) 2.79 kV/m.
c) 3.21 kV/m.
d) 3.7 kV/m.
e) 4.25 kV/m.

2) An empty parallel-plate capacitor with metal plates has an area of 2.16 m2, separated by 1.12 mm. How much charge does it store if the voltage is 1.530E+03 V?

a) 2.375E+01 μC
b) 2.613E+01 μC
c) 2.874E+01 μC
d) 3.161E+01 μC
e) 3.477E+01 μC

3) When a 1.95 V battery operates a 2.8 W bulb, how many electrons pass through it each second?

a) 7.407E+18 electrons
b) 8.147E+18 electrons
c) 8.962E+18 electrons
d) 9.858E+18 electrons
e) 1.084E+19 electrons
4)
What is the net capacitance if C1=4.12 μF, C2=3.45 μF, and C3=3.41 μF in the configuration shown?
a) 4.370E+00 μF
b) 4.807E+00 μF
c) 5.288E+00 μF
d) 5.816E+00 μF
e) 6.398E+00 μF
5)
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.51 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.
a) 5.261E+02 V
b) 5.787E+02 V
c) 6.365E+02 V
d) 7.002E+02 V
e) 7.702E+02 V

6) The same parallel plate capacitor, with area 1.35 m2, plate separation 1.23mm, and an applied voltage of 2.65 kV. How much charge is stored?

a) 16.93 μC.
b) 19.47 μC.
c) 22.39 μC.
d) 25.75 μC.
e) 29.62 μC.

7) What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

a) 3.5 x 10-2 volts
b) 5.3 x 10-2 volts
c) 7.9 x 10-2 volts
d) 1.2 x 10-1 volts
e) 1.8 x 10-1 volts

8) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.

a) 1.544E+06 m/s
b) 1.698E+06 m/s
c) 1.868E+06 m/s
d) 2.055E+06 m/s
e) 2.260E+06 m/s

9) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

a) 3.9 x 104 m/s.
b) 5.8 x 104 m/s.
c) 8.7 x 104 m/s.
d) 1.3 x 105 m/s.
e) 2 x 105 m/s.

10) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 0.38 J.
b) 0.43 J.
c) 0.5 J.
d) 0.57 J.
e) 0.66 J.

### T3 U0

1) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?

a) 4.200E+05 J
b) 4.620E+05 J
c) 5.082E+05 J
d) 5.590E+05 J
e) 6.149E+05 J

2) When a 2.76 V battery operates a 2.71 W bulb, how many electrons pass through it each second?

a) 5.571E+18 electrons
b) 6.128E+18 electrons
c) 6.741E+18 electrons
d) 7.415E+18 electrons
e) 8.157E+18 electrons

3) A 6 C charge is separated from a 13 C charge by distance of 8 cm. What is the work done by increasing this separation to 16 cm?

a) 3.292E-06 J
b) 3.621E-06 J
c) 3.983E-06 J
d) 4.381E-06 J
e) 4.820E-06 J
4)
In the figure shown C1=17.9 μF, C2=2.71 μF, and C3=4.14 μF. The voltage source provides ε=7.12 V. What is the charge on C1?
a) 3.527E+01 μC
b) 3.880E+01 μC
c) 4.268E+01 μC
d) 4.695E+01 μC
e) 5.164E+01 μC
5)
What is the net capacitance if C1=3.97 μF, C2=3.51 μF, and C3=2.18 μF in the configuration shown?
a) 3.038E+00 μF
b) 3.341E+00 μF
c) 3.675E+00 μF
d) 4.043E+00 μF
e) 4.447E+00 μF

6) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

a) 1.81 J.
b) 2.08 J.
c) 2.39 J.
d) 2.75 J.
e) 3.16 J.

7) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

a) 3180 N.
b) 3657 N.
c) 4206 N.
d) 4837 N.
e) 5562 N.

8) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

a) 1.91 kV/m.
b) 2.19 kV/m.
c) 2.52 kV/m.
d) 2.9 kV/m.
e) 3.33 kV/m.

9) What voltage is required accelerate an electron at rest to a speed of 5.6 x 104 m/s?

a) 5.9 x 10-3 volts
b) 8.9 x 10-3 volts
c) 1.3 x 10-2 volts
d) 2 x 10-2 volts
e) 3 x 10-2 volts

10) How fast is a 2663 eV electron moving?

a) 3.1 x 107 m/s.
b) 4.6 x 107 m/s.
c) 6.9 x 107 m/s.
d) 1 x 108 m/s.
e) 1.5 x 108 m/s.

#### T3 U1

1) How fast is a 2355 eV electron moving?

a) 1.9 x 107 m/s.
b) 2.9 x 107 m/s.
c) 4.3 x 107 m/s.
d) 6.5 x 107 m/s.
e) 9.7 x 107 m/s.

2) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

a) 4.4 x 10-6 volts
b) 6.6 x 10-6 volts
c) 9.9 x 10-6 volts
d) 1.5 x 10-5 volts
e) 2.2 x 10-5 volts

3) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 1.08 J.
b) 1.24 J.
c) 1.43 J.
d) 1.64 J.
e) 1.89 J.
4)
In the figure shown C1=16.0 μF, C2=2.27 μF, and C3=4.4 μF. The voltage source provides ε=7.11 V. What is the charge on C1?
a) 2.515E+01 μC
b) 2.766E+01 μC
c) 3.043E+01 μC
d) 3.347E+01 μC
e) 3.682E+01 μC
5)
What is the net capacitance if C1=2.96 μF, C2=3.95 μF, and C3=3.74 μF in the configuration shown?
a) 4.489E+00 μF
b) 4.938E+00 μF
c) 5.432E+00 μF
d) 5.975E+00 μF
e) 6.573E+00 μF

6) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

a) 1.57 kV/m.
b) 1.8 kV/m.
c) 2.07 kV/m.
d) 2.38 kV/m.
e) 2.74 kV/m.

7) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?

a) 1.967E+05 J
b) 2.164E+05 J
c) 2.380E+05 J
d) 2.618E+05 J
e) 2.880E+05 J

8) A 7 C charge is separated from a 15 C charge by distance of 14 cm. What is the work done by increasing this separation to 20 cm?

a) 1.519E-06 J
b) 1.671E-06 J
c) 1.838E-06 J
d) 2.022E-06 J
e) 2.224E-06 J

9) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?

a) 7.397E+17 electrons
b) 8.137E+17 electrons
c) 8.951E+17 electrons
d) 9.846E+17 electrons
e) 1.083E+18 electrons

10) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the force between the plates if they are 0.6 mm apart?

a) 2381 N.
b) 2738 N.
c) 3149 N.
d) 3621 N.
e) 4164 N.

#### T3 U2

1)
In the figure shown C1=17.8 μF, C2=2.22 μF, and C3=5.71 μF. The voltage source provides ε=13.9 V. What is the charge on C1?
a) 7.625E+01 μC
b) 8.388E+01 μC
c) 9.227E+01 μC
d) 1.015E+02 μC
e) 1.116E+02 μC

2) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?

a) 4.200E+05 J
b) 4.620E+05 J
c) 5.082E+05 J
d) 5.590E+05 J
e) 6.149E+05 J

3) How fast is a 2952 eV electron moving?

a) 6.4 x 106 m/s.
b) 9.5 x 106 m/s.
c) 1.4 x 107 m/s.
d) 2.1 x 107 m/s.
e) 3.2 x 107 m/s.

4) A 0.5 Farad capacitor is charged with 1.3 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

a) 3.71 kV/m.
b) 4.27 kV/m.
c) 4.91 kV/m.
d) 5.65 kV/m.
e) 6.5 kV/m.

5) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

a) 0.44 J.
b) 0.51 J.
c) 0.58 J.
d) 0.67 J.
e) 0.77 J.

6) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

a) 2319 N.
b) 2667 N.
c) 3067 N.
d) 3527 N.
e) 4056 N.

7) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?

a) 1.838E+18 electrons
b) 2.022E+18 electrons
c) 2.224E+18 electrons
d) 2.446E+18 electrons
e) 2.691E+18 electrons

8) A 5 C charge is separated from a 12 C charge by distance of 10 cm. What is the work done by increasing this separation to 16 cm?

a) 1.381E-06 J
b) 1.519E-06 J
c) 1.671E-06 J
d) 1.838E-06 J
e) 2.022E-06 J
9)
What is the net capacitance if C1=3.06 μF, C2=3.09 μF, and C3=2.48 μF in the configuration shown?
a) 3.018E+00 μF
b) 3.320E+00 μF
c) 3.652E+00 μF
d) 4.017E+00 μF
e) 4.419E+00 μF

10) What voltage is required accelerate an electron at rest to a speed of 5.5 x 105 m/s?

a) 2.5 x 10-1 volts
b) 3.8 x 10-1 volts
c) 5.7 x 10-1 volts
d) 8.6 x 10-1 volts
e) 1.3 x 100 volts

### T3 V0

1) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x2 + y2 + z2 = R2, where R=

a) 5.169E+00 m
b) 5.686E+00 m
c) 6.255E+00 m
d) 6.880E+00 m
e) 7.568E+00 m
2)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 2.617E+01 J
b) 2.879E+01 J
c) 3.167E+01 J
d) 3.484E+01 J
e) 3.832E+01 J

3) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (16 cm, 71°).

a) 1.969E+02 V
b) 2.166E+02 V
c) 2.383E+02 V
d) 2.621E+02 V
e) 2.884E+02 V
4)
In the figure shown C1=17.2 μF, C2=2.71 μF, and C3=5.28 μF. The voltage source provides ε=13.2 V. What is the energy stored in C2?
a) 2.443E+01 μJ
b) 2.687E+01 μJ
c) 2.955E+01 μJ
d) 3.251E+01 μJ
e) 3.576E+01 μJ

5) An empty parallel-plate capacitor with metal plates has an area of 2.82 m2, separated by 1.29 mm. How much charge does it store if the voltage is 7.420E+03 V?

a) 1.187E+02 μC
b) 1.306E+02 μC
c) 1.436E+02 μC
d) 1.580E+02 μC
e) 1.738E+02 μC

6) A 0.5 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

a) 3.46 kV/m.
b) 3.98 kV/m.
c) 4.57 kV/m.
d) 5.26 kV/m.
e) 6.05 kV/m.

7) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

a) 2319 N.
b) 2667 N.
c) 3067 N.
d) 3527 N.
e) 4056 N.

8) The same parallel plate capacitor, with area 1.35 m2, plate separation 1.23mm, and an applied voltage of 2.65 kV. How much charge is stored?

a) 16.93 μC.
b) 19.47 μC.
c) 22.39 μC.
d) 25.75 μC.
e) 29.62 μC.

9) A proton is accellerated (at rest) from a plate held at 4.7 volts to a plate at zero volts. What is the final speed?

a) 5.9 x 103 m/s.
b) 8.9 x 103 m/s.
c) 1.3 x 104 m/s.
d) 2 x 104 m/s.
e) 3 x 104 m/s.

10) What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

a) 3.5 x 10-2 volts
b) 5.3 x 10-2 volts
c) 7.9 x 10-2 volts
d) 1.2 x 10-1 volts
e) 1.8 x 10-1 volts

#### T3 V1

1) The same parallel plate capacitor, with area 0.55 m2, plate separation 0.53mm, and an applied voltage of 4.25 kV. How much charge is stored?

a) 39.05 μC.
b) 44.91 μC.
c) 51.64 μC.
d) 59.39 μC.
e) 68.3 μC.

2) Assume that a 11 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (12 cm, 14°).

a) 1.876E+02 V
b) 2.063E+02 V
c) 2.270E+02 V
d) 2.497E+02 V
e) 2.746E+02 V

3) A 1.4 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

a) 0.86 kV/m.
b) 0.99 kV/m.
c) 1.14 kV/m.
d) 1.31 kV/m.
e) 1.51 kV/m.

4) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 1473 N.
b) 1694 N.
c) 1948 N.
d) 2241 N.
e) 2577 N.

5) A proton is accelerated (at rest) from a plate held at 333.6 volts to a plate at zero volts. What is the final speed?

a) 1.1 x 105 m/s.
b) 1.7 x 105 m/s.
c) 2.5 x 105 m/s.
d) 3.8 x 105 m/s.
e) 5.7 x 105 m/s.

6) An empty parallel-plate capacitor with metal plates has an area of 2.42 m2, separated by 1.33 mm. How much charge does it store if the voltage is 1.130E+03 V?

a) 1.368E+01 μC
b) 1.505E+01 μC
c) 1.655E+01 μC
d) 1.820E+01 μC
e) 2.003E+01 μC
7)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 6.598E+01 J
b) 7.258E+01 J
c) 7.983E+01 J
d) 8.782E+01 J
e) 9.660E+01 J

8) What voltage is required to stop a proton moving at a speed of 7.6 x 106 m/s?

a) 3 x 105 volts
b) 4.5 x 105 volts
c) 6.8 x 105 volts
d) 1 x 106 volts
e) 1.5 x 106 volts
9)
In the figure shown C1=18.2 μF, C2=2.44 μF, and C3=5.0 μF. The voltage source provides ε=7.78 V. What is the energy stored in C2?
a) 1.225E+01 μJ
b) 1.347E+01 μJ
c) 1.482E+01 μJ
d) 1.630E+01 μJ
e) 1.793E+01 μJ

10) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=62 V is x2 + y2 + z2 = R2, where R=

a) 2.277E+00 m
b) 2.505E+00 m
c) 2.755E+00 m
d) 3.031E+00 m
e) 3.334E+00 m

#### T3 V2

1) A proton is accellerated (at rest) from a plate held at 318.6 volts to a plate at zero volts. What is the final speed?

a) 1.6 x 105 m/s.
b) 2.5 x 105 m/s.
c) 3.7 x 105 m/s.
d) 5.6 x 105 m/s.
e) 8.3 x 105 m/s.

2) Assume that a 25 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (5 cm, 0°) and P2 is at (13 cm, 70°).

a) 2.285E+03 V
b) 2.514E+03 V
c) 2.765E+03 V
d) 3.042E+03 V
e) 3.346E+03 V

3) If a 24 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=97 V is x2 + y2 + z2 = R2, where R=

a) 1.838E+00 m
b) 2.022E+00 m
c) 2.224E+00 m
d) 2.446E+00 m
e) 2.691E+00 m

4) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 4025 N.
b) 4628 N.
c) 5322 N.
d) 6121 N.
e) 7039 N.

5) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

a) 2.3 x 105 volts
b) 3.4 x 105 volts
c) 5.1 x 105 volts
d) 7.7 x 105 volts
e) 1.2 x 106 volts
6)
In the figure shown C1=16.3 μF, C2=2.17 μF, and C3=4.67 μF. The voltage source provides ε=8.35 V. What is the energy stored in C2?
a) 8.718E+00 μJ
b) 9.589E+00 μJ
c) 1.055E+01 μJ
d) 1.160E+01 μJ
e) 1.276E+01 μJ

7) An empty parallel-plate capacitor with metal plates has an area of 2.1 m2, separated by 1.13 mm. How much charge does it store if the voltage is 1.680E+03 V?

a) 2.764E+01 μC
b) 3.041E+01 μC
c) 3.345E+01 μC
d) 3.679E+01 μC
e) 4.047E+01 μC

8) A 0.5 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

a) 3.46 kV/m.
b) 3.98 kV/m.
c) 4.57 kV/m.
d) 5.26 kV/m.
e) 6.05 kV/m.
9)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 6.598E+01 J
b) 7.258E+01 J
c) 7.983E+01 J
d) 8.782E+01 J
e) 9.660E+01 J

10) The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

a) 23.91 μC.
b) 27.5 μC.
c) 31.62 μC.
d) 36.37 μC.
e) 41.82 μC.

### T3 W0

1)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 2.617E+01 J
b) 2.879E+01 J
c) 3.167E+01 J
d) 3.484E+01 J
e) 3.832E+01 J

2) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=

a) 2.420E+00 m
b) 2.662E+00 m
c) 2.928E+00 m
d) 3.221E+00 m
e) 3.543E+00 m

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 27 V.

a) 2.802E+06 m/s
b) 3.082E+06 m/s
c) 3.390E+06 m/s
d) 3.729E+06 m/s
e) 4.102E+06 m/s
4)
What is the net capacitance if C1=2.24 μF, C2=4.86 μF, and C3=3.64 μF in the configuration shown?
a) 4.275E+00 μF
b) 4.703E+00 μF
c) 5.173E+00 μF
d) 5.691E+00 μF
e) 6.260E+00 μF

5) An empty parallel-plate capacitor with metal plates has an area of 2.84 m2, separated by 1.42 mm. How much charge does it store if the voltage is 1.510E+03 V?

a) 1.826E+01 μC
b) 2.009E+01 μC
c) 2.210E+01 μC
d) 2.431E+01 μC
e) 2.674E+01 μC

6) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 4025 N.
b) 4628 N.
c) 5322 N.
d) 6121 N.
e) 7039 N.

7) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 0.93mm. Applied to the plates is a potential difference of 4.45 kV. What is the capacitance?

a) 12 nF.
b) 13.8 nF.
c) 15.88 nF.
d) 18.26 nF.
e) 21 nF.

8) A 0.9 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

a) 2.68 kV/m.
b) 3.08 kV/m.
c) 3.54 kV/m.
d) 4.07 kV/m.
e) 4.69 kV/m.

9) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?

a) 3.2 x 103 volts
b) 4.9 x 103 volts
c) 7.3 x 103 volts
d) 1.1 x 104 volts
e) 1.6 x 104 volts

10) How fast is a 2355 eV electron moving?

a) 1.9 x 107 m/s.
b) 2.9 x 107 m/s.
c) 4.3 x 107 m/s.
d) 6.5 x 107 m/s.
e) 9.7 x 107 m/s.

#### T3 W1

1) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x2 + y2 + z2 = R2, where R=

a) 5.169E+00 m
b) 5.686E+00 m
c) 6.255E+00 m
d) 6.880E+00 m
e) 7.568E+00 m

2) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 2.55 kV. What is the capacitance?

a) 8.39 nF.
b) 9.65 nF.
c) 11.1 nF.
d) 12.76 nF.
e) 14.68 nF.

3) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 4025 N.
b) 4628 N.
c) 5322 N.
d) 6121 N.
e) 7039 N.
4)
Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.) The charges are q1=4 μC, q2=7 μC, q3=10 μC, and q4=12 μC. How much work was required to assemble these four charges from infinity?
a) 1.194E+02 J
b) 1.314E+02 J
c) 1.445E+02 J
d) 1.589E+02 J
e) 1.748E+02 J

5) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

a) 1.91 kV/m.
b) 2.19 kV/m.
c) 2.52 kV/m.
d) 2.9 kV/m.
e) 3.33 kV/m.
6)
What is the net capacitance if C1=2.55 μF, C2=4.13 μF, and C3=2.5 μF in the configuration shown?
a) 4.077E+00 μF
b) 4.484E+00 μF
c) 4.933E+00 μF
d) 5.426E+00 μF
e) 5.969E+00 μF

7) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

a) 4.4 x 10-6 volts
b) 6.6 x 10-6 volts
c) 9.9 x 10-6 volts
d) 1.5 x 10-5 volts
e) 2.2 x 10-5 volts

8) How fast is a 2493 eV electron moving?

a) 1.3 x 107 m/s.
b) 2 x 107 m/s.
c) 3 x 107 m/s.
d) 4.4 x 107 m/s.
e) 6.7 x 107 m/s.

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.

a) 1.942E+06 m/s
b) 2.137E+06 m/s
c) 2.350E+06 m/s
d) 2.585E+06 m/s
e) 2.844E+06 m/s

10) An empty parallel-plate capacitor with metal plates has an area of 1.73 m2, separated by 1.16 mm. How much charge does it store if the voltage is 1.130E+03 V?

a) 1.121E+01 μC
b) 1.233E+01 μC
c) 1.357E+01 μC
d) 1.492E+01 μC
e) 1.641E+01 μC

#### T3 W2

1) An empty parallel-plate capacitor with metal plates has an area of 2.66 m2, separated by 1.18 mm. How much charge does it store if the voltage is 6.170E+03 V?

a) 1.231E+02 μC
b) 1.355E+02 μC
c) 1.490E+02 μC
d) 1.639E+02 μC
e) 1.803E+02 μC
2)
What is the net capacitance if C1=3.13 μF, C2=2.28 μF, and C3=2.59 μF in the configuration shown?
a) 3.231E+00 μF
b) 3.554E+00 μF
c) 3.909E+00 μF
d) 4.300E+00 μF
e) 4.730E+00 μF

3) How fast is a 2663 eV electron moving?

a) 3.1 x 107 m/s.
b) 4.6 x 107 m/s.
c) 6.9 x 107 m/s.
d) 1 x 108 m/s.
e) 1.5 x 108 m/s.
4)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 3.116E+01 J
b) 3.427E+01 J
c) 3.770E+01 J
d) 4.147E+01 J
e) 4.562E+01 J

5) What voltage is required accelerate an electron at rest to a speed of 5.5 x 105 m/s?

a) 2.5 x 10-1 volts
b) 3.8 x 10-1 volts
c) 5.7 x 10-1 volts
d) 8.6 x 10-1 volts
e) 1.3 x 100 volts

6) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

a) 1.91 kV/m.
b) 2.19 kV/m.
c) 2.52 kV/m.
d) 2.9 kV/m.
e) 3.33 kV/m.

7) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the force between the plates if they are 0.5 mm apart?

a) 2065 N.
b) 2375 N.
c) 2732 N.
d) 3141 N.
e) 3613 N.

8) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.

a) 3.031E+06 m/s
b) 3.335E+06 m/s
c) 3.668E+06 m/s
d) 4.035E+06 m/s
e) 4.438E+06 m/s

9) A parallel plate capacitor has both plates with an area of 0.55 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 4.25 kV. What is the capacitance?

a) 6.95 nF.
b) 7.99 nF.
c) 9.19 nF.
d) 10.57 nF.
e) 12.15 nF.

10) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=

a) 2.420E+00 m
b) 2.662E+00 m
c) 2.928E+00 m
d) 3.221E+00 m
e) 3.543E+00 m

### T3 X0

1) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?

a) 4.723E-01 mm
b) 5.432E-01 mm
c) 6.246E-01 mm
d) 7.183E-01 mm
e) 8.261E-01 mm

2) A 3 C charge is separated from a 7 C charge by distance of 10 cm. What is the work done by increasing this separation to 15 cm?

a) 5.199E-07 J
b) 5.719E-07 J
c) 6.291E-07 J
d) 6.920E-07 J
e) 7.612E-07 J
3)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=6 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
a) 2.343E+01 J
b) 2.577E+01 J
c) 2.835E+01 J
d) 3.118E+01 J
e) 3.430E+01 J

4) An empty parallel-plate capacitor with metal plates has an area of 1.73 m2, separated by 1.16 mm. How much charge does it store if the voltage is 1.130E+03 V?

a) 1.121E+01 μC
b) 1.233E+01 μC
c) 1.357E+01 μC
d) 1.492E+01 μC
e) 1.641E+01 μC
5)
In the figure shown C1=16.1 μF, C2=2.14 μF, and C3=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C2?
a) 1.199E+01 μJ
b) 1.319E+01 μJ
c) 1.450E+01 μJ
d) 1.595E+01 μJ
e) 1.755E+01 μJ

6) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 1.08 J.
b) 1.24 J.
c) 1.43 J.
d) 1.64 J.
e) 1.89 J.

7) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

a) 2319 N.
b) 2667 N.
c) 3067 N.
d) 3527 N.
e) 4056 N.

8) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 3.55 kV. What is the capacitance?

a) 7.16 nF.
b) 8.24 nF.
c) 9.47 nF.
d) 10.9 nF.
e) 12.53 nF.

9) What voltage is required to stop a proton moving at a speed of 7.6 x 106 m/s?

a) 3 x 105 volts
b) 4.5 x 105 volts
c) 6.8 x 105 volts
d) 1 x 106 volts
e) 1.5 x 106 volts

10) A proton is accellerated (at rest) from a plate held at 588.2 volts to a plate at zero volts. What is the final speed?

a) 6.6 x 104 m/s.
b) 10 x 104 m/s.
c) 1.5 x 105 m/s.
d) 2.2 x 105 m/s.
e) 3.4 x 105 m/s.

#### T3 X1

1) A proton is accellerated (at rest) from a plate held at 775.8 volts to a plate at zero volts. What is the final speed?

a) 7.6 x 104 m/s.
b) 1.1 x 105 m/s.
c) 1.7 x 105 m/s.
d) 2.6 x 105 m/s.
e) 3.9 x 105 m/s.
2)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 6.598E+01 J
b) 7.258E+01 J
c) 7.983E+01 J
d) 8.782E+01 J
e) 9.660E+01 J

3) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

a) 0.81 J.
b) 0.93 J.
c) 1.07 J.
d) 1.23 J.
e) 1.41 J.
4)
In the figure shown C1=18.7 μF, C2=2.15 μF, and C3=4.88 μF. The voltage source provides ε=11.9 V. What is the energy stored in C2?
a) 1.270E+01 μJ
b) 1.397E+01 μJ
c) 1.537E+01 μJ
d) 1.690E+01 μJ
e) 1.859E+01 μJ

5) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the force between the plates if they are 0.7 mm apart?

a) 1826 N.
b) 2099 N.
c) 2414 N.
d) 2776 N.
e) 3193 N.

6) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?

a) 4.391E-01 mm
b) 5.049E-01 mm
c) 5.806E-01 mm
d) 6.677E-01 mm
e) 7.679E-01 mm

7) What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

a) 3.5 x 10-2 volts
b) 5.3 x 10-2 volts
c) 7.9 x 10-2 volts
d) 1.2 x 10-1 volts
e) 1.8 x 10-1 volts

8) A parallel plate capacitor has both plates with an area of 1.35 m2. The separation between the plates is 1.23mm. Applied to the plates is a potential difference of 2.65 kV. What is the capacitance?

a) 7.35 nF.
b) 8.45 nF.
c) 9.72 nF.
d) 11.18 nF.
e) 12.85 nF.

9) An empty parallel-plate capacitor with metal plates has an area of 2.78 m2, separated by 1.16 mm. How much charge does it store if the voltage is 8.980E+03 V?

a) 1.432E+02 μC
b) 1.575E+02 μC
c) 1.732E+02 μC
d) 1.906E+02 μC
e) 2.096E+02 μC

10) A 5 C charge is separated from a 9 C charge by distance of 14 cm. What is the work done by increasing this separation to 18 cm?

a) 4.385E-07 J
b) 4.823E-07 J
c) 5.306E-07 J
d) 5.836E-07 J
e) 6.420E-07 J

#### T3 X2

1) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?

a) 1473 N.
b) 1694 N.
c) 1948 N.
d) 2241 N.
e) 2577 N.

2) An empty parallel-plate capacitor with metal plates has an area of 2.84 m2, separated by 1.42 mm. How much charge does it store if the voltage is 1.510E+03 V?

a) 1.826E+01 μC
b) 2.009E+01 μC
c) 2.210E+01 μC
d) 2.431E+01 μC
e) 2.674E+01 μC
3)
In the figure shown C1=16.1 μF, C2=2.14 μF, and C3=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C2?
a) 1.199E+01 μJ
b) 1.319E+01 μJ
c) 1.450E+01 μJ
d) 1.595E+01 μJ
e) 1.755E+01 μJ

4) A 7 C charge is separated from a 11 C charge by distance of 11 cm. What is the work done by increasing this separation to 19 cm?

a) 2.408E-06 J
b) 2.649E-06 J
c) 2.914E-06 J
d) 3.205E-06 J
e) 3.526E-06 J

5) A proton is accellerated (at rest) from a plate held at 729.8 volts to a plate at zero volts. What is the final speed?

a) 1.7 x 105 m/s.
b) 2.5 x 105 m/s.
c) 3.7 x 105 m/s.
d) 5.6 x 105 m/s.
e) 8.4 x 105 m/s.
6)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 4.554E+01 J
b) 5.009E+01 J
c) 5.510E+01 J
d) 6.061E+01 J
e) 6.667E+01 J

7) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.310E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

a) 5.814E-01 mm
b) 6.686E-01 mm
c) 7.689E-01 mm
d) 8.842E-01 mm
e) 1.017E+00 mm

8) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

a) 3.28 nF.
b) 3.77 nF.
c) 4.34 nF.
d) 4.99 nF.
e) 5.74 nF.

9) What voltage is required to stop a proton moving at a speed of 4.2 x 103 m/s?

a) 6.1 x 10-2 volts
b) 9.2 x 10-2 volts
c) 1.4 x 10-1 volts
d) 2.1 x 10-1 volts
e) 3.1 x 10-1 volts

10) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

a) 2.23 J.
b) 2.56 J.
c) 2.94 J.
d) 3.39 J.
e) 3.89 J.

### T3 Y0

1) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=62 V is x2 + y2 + z2 = R2, where R=

a) 2.277E+00 m
b) 2.505E+00 m
c) 2.755E+00 m
d) 3.031E+00 m
e) 3.334E+00 m

2) A 12.0 V battery can move 26,000 C of charge. How many Joules does it deliver?

a) 2.836E+05 J
b) 3.120E+05 J
c) 3.432E+05 J
d) 3.775E+05 J
e) 4.153E+05 J

3) When a 3.8 V battery operates a 1.67 W bulb, how many electrons pass through it each second?

a) 1.873E+18 electrons
b) 2.061E+18 electrons
c) 2.267E+18 electrons
d) 2.494E+18 electrons
e) 2.743E+18 electrons
4)
In the figure shown C1=15.7 μF, C2=2.87 μF, and C3=5.46 μF. The voltage source provides ε=5.38 V. What is the energy stored in C2?
a) 6.890E+00 μJ
b) 7.579E+00 μJ
c) 8.337E+00 μJ
d) 9.171E+00 μJ
e) 1.009E+01 μJ
5)
What is the net capacitance if C1=4.13 μF, C2=3.56 μF, and C3=3.57 μF in the configuration shown?
a) 5.482E+00 μF
b) 6.030E+00 μF
c) 6.633E+00 μF
d) 7.296E+00 μF
e) 8.026E+00 μF

6) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

a) 42.21 μC.
b) 48.54 μC.
c) 55.82 μC.
d) 64.19 μC.
e) 73.82 μC.

7) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 3.55 kV. What is the capacitance?

a) 7.16 nF.
b) 8.24 nF.
c) 9.47 nF.
d) 10.9 nF.
e) 12.53 nF.

8) A 0.8 Farad capacitor is charged with 1.7 Coulombs. What is the value of the electric field if the plates are 0.5 mm apart?

a) 2.43 kV/m.
b) 2.79 kV/m.
c) 3.21 kV/m.
d) 3.7 kV/m.
e) 4.25 kV/m.

9) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?

a) 3.2 x 103 volts
b) 4.9 x 103 volts
c) 7.3 x 103 volts
d) 1.1 x 104 volts
e) 1.6 x 104 volts

10) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

a) 2.3 x 105 volts
b) 3.4 x 105 volts
c) 5.1 x 105 volts
d) 7.7 x 105 volts
e) 1.2 x 106 volts

#### T3 Y1

1)
In the figure shown C1=15.7 μF, C2=2.87 μF, and C3=5.46 μF. The voltage source provides ε=5.38 V. What is the energy stored in C2?
a) 6.890E+00 μJ
b) 7.579E+00 μJ
c) 8.337E+00 μJ
d) 9.171E+00 μJ
e) 1.009E+01 μJ

2) What voltage is required to stop a proton moving at a speed of 8 x 107 m/s?

a) 3.3 x 107 volts
b) 5 x 107 volts
c) 7.5 x 107 volts
d) 1.1 x 108 volts
e) 1.7 x 108 volts

3) If a 28 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=77 V is x2 + y2 + z2 = R2, where R=

a) 2.701E+00 m
b) 2.971E+00 m
c) 3.268E+00 m
d) 3.595E+00 m
e) 3.955E+00 m
4)
What is the net capacitance if C1=3.97 μF, C2=3.51 μF, and C3=2.18 μF in the configuration shown?
a) 3.038E+00 μF
b) 3.341E+00 μF
c) 3.675E+00 μF
d) 4.043E+00 μF
e) 4.447E+00 μF

5) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 0.93mm. Applied to the plates is a potential difference of 4.45 kV. What is the capacitance?

a) 12 nF.
b) 13.8 nF.
c) 15.88 nF.
d) 18.26 nF.
e) 21 nF.

6) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?

a) 1.838E+18 electrons
b) 2.022E+18 electrons
c) 2.224E+18 electrons
d) 2.446E+18 electrons
e) 2.691E+18 electrons

7) The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

a) 40.39 μC.
b) 46.45 μC.
c) 53.42 μC.
d) 61.43 μC.
e) 70.65 μC.

8) What voltage is required accelerate an electron at rest to a speed of 5.6 x 104 m/s?

a) 5.9 x 10-3 volts
b) 8.9 x 10-3 volts
c) 1.3 x 10-2 volts
d) 2 x 10-2 volts
e) 3 x 10-2 volts

9) A 0.5 Farad capacitor is charged with 1.3 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

a) 3.71 kV/m.
b) 4.27 kV/m.
c) 4.91 kV/m.
d) 5.65 kV/m.
e) 6.5 kV/m.

10) A 12.0 V battery can move 49,000 C of charge. How many Joules does it deliver?

a) 5.880E+05 J
b) 6.468E+05 J
c) 7.115E+05 J
d) 7.826E+05 J
e) 8.609E+05 J

#### T3 Y2

1)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
a) 6.750E+00 μJ
b) 7.425E+00 μJ
c) 8.168E+00 μJ
d) 8.984E+00 μJ
e) 9.883E+00 μJ

2) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

a) 2.3 x 105 volts
b) 3.4 x 105 volts
c) 5.1 x 105 volts
d) 7.7 x 105 volts
e) 1.2 x 106 volts

3) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

a) 1.91 kV/m.
b) 2.19 kV/m.
c) 2.52 kV/m.
d) 2.9 kV/m.
e) 3.33 kV/m.

4) What voltage is required accelerate an electron at rest to a speed of 9.5 x 106 m/s?

a) 1.1 x 102 volts
b) 1.7 x 102 volts
c) 2.6 x 102 volts
d) 3.8 x 102 volts
e) 5.8 x 102 volts

5) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 2.55 kV. What is the capacitance?

a) 8.39 nF.
b) 9.65 nF.
c) 11.1 nF.
d) 12.76 nF.
e) 14.68 nF.
6)
What is the net capacitance if C1=2.25 μF, C2=4.16 μF, and C3=2.49 μF in the configuration shown?
a) 2.698E+00 μF
b) 2.968E+00 μF
c) 3.265E+00 μF
d) 3.591E+00 μF
e) 3.950E+00 μF

7) A 12.0 V battery can move 44,000 C of charge. How many Joules does it deliver?

a) 4.800E+05 J
b) 5.280E+05 J
c) 5.808E+05 J
d) 6.389E+05 J
e) 7.028E+05 J

8) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?

a) 7.397E+17 electrons
b) 8.137E+17 electrons
c) 8.951E+17 electrons
d) 9.846E+17 electrons
e) 1.083E+18 electrons

9) If a 26 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=21 V is x2 + y2 + z2 = R2, where R=

a) 8.360E+00 m
b) 9.196E+00 m
c) 1.012E+01 m
d) 1.113E+01 m
e) 1.224E+01 m

10) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

a) 42.21 μC.
b) 48.54 μC.
c) 55.82 μC.
d) 64.19 μC.
e) 73.82 μC.

### T3 Z0

1) Assume that a 17 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (12 cm, 15°).

a) 4.244E+02 V
b) 4.669E+02 V
c) 5.135E+02 V
d) 5.649E+02 V
e) 6.214E+02 V

2) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?

a) 1.838E+18 electrons
b) 2.022E+18 electrons
c) 2.224E+18 electrons
d) 2.446E+18 electrons
e) 2.691E+18 electrons
3)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 7.982E+01 J
b) 8.780E+01 J
c) 9.658E+01 J
d) 1.062E+02 J
e) 1.169E+02 J
4)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
a) 6.750E+00 μJ
b) 7.425E+00 μJ
c) 8.168E+00 μJ
d) 8.984E+00 μJ
e) 9.883E+00 μJ
5)
In the figure shown C1=17.8 μF, C2=2.22 μF, and C3=5.71 μF. The voltage source provides ε=13.9 V. What is the charge on C1?
a) 7.625E+01 μC
b) 8.388E+01 μC
c) 9.227E+01 μC
d) 1.015E+02 μC
e) 1.116E+02 μC

6) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

a) 3180 N.
b) 3657 N.
c) 4206 N.
d) 4837 N.
e) 5562 N.

7) A parallel plate capacitor has both plates with an area of 0.55 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 4.25 kV. What is the capacitance?

a) 6.95 nF.
b) 7.99 nF.
c) 9.19 nF.
d) 10.57 nF.
e) 12.15 nF.

8) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

a) 1.81 J.
b) 2.08 J.
c) 2.39 J.
d) 2.75 J.
e) 3.16 J.

9) How fast is a 2758 eV electron moving?

a) 9.2 x 106 m/s.
b) 1.4 x 107 m/s.
c) 2.1 x 107 m/s.
d) 3.1 x 107 m/s.
e) 4.7 x 107 m/s.

10) What voltage is required to stop a proton moving at a speed of 7.6 x 106 m/s?

a) 3 x 105 volts
b) 4.5 x 105 volts
c) 6.8 x 105 volts
d) 1 x 106 volts
e) 1.5 x 106 volts

#### T3 Z1

1) How fast is a 2355 eV electron moving?

a) 1.9 x 107 m/s.
b) 2.9 x 107 m/s.
c) 4.3 x 107 m/s.
d) 6.5 x 107 m/s.
e) 9.7 x 107 m/s.
2)
In the figure shown C1=17.7 μF, C2=2.5 μF, and C3=5.0 μF. The voltage source provides ε=12.8 V. What is the charge on C1?
a) 5.066E+01 μC
b) 5.573E+01 μC
c) 6.130E+01 μC
d) 6.743E+01 μC
e) 7.417E+01 μC

3) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the force between the plates if they are 0.6 mm apart?

a) 2381 N.
b) 2738 N.
c) 3149 N.
d) 3621 N.
e) 4164 N.
4)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 2.300E+01 J
b) 2.530E+01 J
c) 2.783E+01 J
d) 3.061E+01 J
e) 3.367E+01 J

5) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

a) 3.28 nF.
b) 3.77 nF.
c) 4.34 nF.
d) 4.99 nF.
e) 5.74 nF.

6) Assume that a 22 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (12 cm, 53°).

a) 5.492E+02 V
b) 6.042E+02 V
c) 6.646E+02 V
d) 7.310E+02 V
e) 8.041E+02 V

7) What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

a) 3.5 x 10-2 volts
b) 5.3 x 10-2 volts
c) 7.9 x 10-2 volts
d) 1.2 x 10-1 volts
e) 1.8 x 10-1 volts
8)
In the figure shown C1=16.9 μF, C2=2.86 μF, and C3=5.1 μF. The voltage source provides ε=9.98 V. What is the energy stored in C2?
a) 1.764E+01 μJ
b) 1.940E+01 μJ
c) 2.134E+01 μJ
d) 2.348E+01 μJ
e) 2.583E+01 μJ

9) When a 3.8 V battery operates a 1.67 W bulb, how many electrons pass through it each second?

a) 1.873E+18 electrons
b) 2.061E+18 electrons
c) 2.267E+18 electrons
d) 2.494E+18 electrons
e) 2.743E+18 electrons

10) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 1.08 J.
b) 1.24 J.
c) 1.43 J.
d) 1.64 J.
e) 1.89 J.

#### T3 Z2

1)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.178E+01 J
b) 5.696E+01 J
c) 6.266E+01 J
d) 6.892E+01 J
e) 7.582E+01 J
2)
In the figure shown C1=17.7 μF, C2=2.48 μF, and C3=4.68 μF. The voltage source provides ε=12.7 V. What is the energy stored in C2?
a) 2.242E+01 μJ
b) 2.467E+01 μJ
c) 2.713E+01 μJ
d) 2.985E+01 μJ
e) 3.283E+01 μJ

3) How fast is a 2493 eV electron moving?

a) 1.3 x 107 m/s.
b) 2 x 107 m/s.
c) 3 x 107 m/s.
d) 4.4 x 107 m/s.
e) 6.7 x 107 m/s.
4)
In the figure shown C1=17.9 μF, C2=2.71 μF, and C3=4.14 μF. The voltage source provides ε=7.12 V. What is the charge on C1?
a) 3.527E+01 μC
b) 3.880E+01 μC
c) 4.268E+01 μC
d) 4.695E+01 μC
e) 5.164E+01 μC

5) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

a) 0.81 J.
b) 0.93 J.
c) 1.07 J.
d) 1.23 J.
e) 1.41 J.

6) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?

a) 1.749E+18 electrons
b) 1.924E+18 electrons
c) 2.117E+18 electrons
d) 2.328E+18 electrons
e) 2.561E+18 electrons

7) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?

a) 3.4 x 101 volts
b) 5.1 x 101 volts
c) 7.7 x 101 volts
d) 1.2 x 102 volts
e) 1.7 x 102 volts

8) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

a) 3180 N.
b) 3657 N.
c) 4206 N.
d) 4837 N.
e) 5562 N.

9) Assume that a 25 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (5 cm, 0°) and P2 is at (13 cm, 70°).

a) 2.285E+03 V
b) 2.514E+03 V
c) 2.765E+03 V
d) 3.042E+03 V
e) 3.346E+03 V

10) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

a) 3.28 nF.
b) 3.77 nF.
c) 4.34 nF.
d) 4.99 nF.
e) 5.74 nF.
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### Key: A0

1) A 8 C charge is separated from a 12 C charge by distance of 9 cm. What is the work done by increasing this separation to 18 cm?

-a) 3.274E-06 J
-b) 3.601E-06 J
-c) 3.961E-06 J
-d) 4.358E-06 J
+e) 4.793E-06 J

2) A 12.0 V battery can move 29,000 C of charge. How many Joules does it deliver?

-a) 2.615E+05 J
-b) 2.876E+05 J
-c) 3.164E+05 J
+d) 3.480E+05 J
-e) 3.828E+05 J
3)
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.51 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.
-a) 5.261E+02 V
-b) 5.787E+02 V
+c) 6.365E+02 V
-d) 7.002E+02 V
-e) 7.702E+02 V
4)
In the figure shown C1=17.7 μF, C2=2.5 μF, and C3=5.0 μF. The voltage source provides ε=12.8 V. What is the charge on C1?
-a) 5.066E+01 μC
-b) 5.573E+01 μC
-c) 6.130E+01 μC
+d) 6.743E+01 μC
-e) 7.417E+01 μC

5) An empty parallel-plate capacitor with metal plates has an area of 2.04 m2, separated by 1.21 mm. How much charge does it store if the voltage is 7.730E+03 V?

-a) 1.049E+02 μC
+b) 1.154E+02 μC
-c) 1.269E+02 μC
-d) 1.396E+02 μC
-e) 1.536E+02 μC

6) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

+a) 1.81 J.
-b) 2.08 J.
-c) 2.39 J.
-d) 2.75 J.
-e) 3.16 J.

7) A 0.5 Farad capacitor is charged with 1.3 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

+a) 3.71 kV/m.
-b) 4.27 kV/m.
-c) 4.91 kV/m.
-d) 5.65 kV/m.
-e) 6.5 kV/m.

8) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

-a) 42.21 μC.
-b) 48.54 μC.
-c) 55.82 μC.
+d) 64.19 μC.
-e) 73.82 μC.

9) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

-a) 4.4 x 10-6 volts
-b) 6.6 x 10-6 volts
-c) 9.9 x 10-6 volts
-d) 1.5 x 10-5 volts
+e) 2.2 x 10-5 volts

10) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?

+a) 3.4 x 101 volts
-b) 5.1 x 101 volts
-c) 7.7 x 101 volts
-d) 1.2 x 102 volts
-e) 1.7 x 102 volts

#### Key: A1

1) A 7 C charge is separated from a 15 C charge by distance of 14 cm. What is the work done by increasing this separation to 20 cm?

-a) 1.519E-06 J
-b) 1.671E-06 J
-c) 1.838E-06 J
+d) 2.022E-06 J
-e) 2.224E-06 J

2) What voltage is required accelerate an electron at rest to a speed of 5.6 x 104 m/s?

-a) 5.9 x 10-3 volts
+b) 8.9 x 10-3 volts
-c) 1.3 x 10-2 volts
-d) 2 x 10-2 volts
-e) 3 x 10-2 volts
3)
In the figure shown C1=17.8 μF, C2=2.22 μF, and C3=5.71 μF. The voltage source provides ε=13.9 V. What is the charge on C1?
+a) 7.625E+01 μC
-b) 8.388E+01 μC
-c) 9.227E+01 μC
-d) 1.015E+02 μC
-e) 1.116E+02 μC

4) The same parallel plate capacitor, with area 0.75 m2, plate separation 0.53mm, and an applied voltage of 3.55 kV. How much charge is stored?

-a) 29.25 μC.
-b) 33.63 μC.
-c) 38.68 μC.
+d) 44.48 μC.
-e) 51.15 μC.

5) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

-a) 1.57 kV/m.
-b) 1.8 kV/m.
-c) 2.07 kV/m.
-d) 2.38 kV/m.
+e) 2.74 kV/m.

6) An empty parallel-plate capacitor with metal plates has an area of 2.51 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.230E+03 V?

-a) 2.351E+01 μC
-b) 2.586E+01 μC
-c) 2.844E+01 μC
-d) 3.129E+01 μC
+e) 3.442E+01 μC

7) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?

+a) 4.200E+05 J
-b) 4.620E+05 J
-c) 5.082E+05 J
-d) 5.590E+05 J
-e) 6.149E+05 J
8)
A diploe has a charge magnitude of q=4 nC and a separation distance of d=3.79 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.2 cm, y=1.9 cm)? Note that following the textbook's example, the y-value of the field point at 1.9 cm matches the disance of the positive charge above the x-axis.
-a) 2.731E+02 V
-b) 3.004E+02 V
-c) 3.304E+02 V
-d) 3.634E+02 V
+e) 3.998E+02 V

9) What voltage is required to stop a proton moving at a speed of 7.6 x 106 m/s?

+a) 3 x 105 volts
-b) 4.5 x 105 volts
-c) 6.8 x 105 volts
-d) 1 x 106 volts
-e) 1.5 x 106 volts

10) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

-a) 0.81 J.
-b) 0.93 J.
+c) 1.07 J.
-d) 1.23 J.
-e) 1.41 J.

#### Key: A2

1) What voltage is required accelerate an electron at rest to a speed of 5.5 x 105 m/s?

-a) 2.5 x 10-1 volts
-b) 3.8 x 10-1 volts
-c) 5.7 x 10-1 volts
+d) 8.6 x 10-1 volts
-e) 1.3 x 100 volts

2) A 4 C charge is separated from a 10 C charge by distance of 10 cm. What is the work done by increasing this separation to 19 cm?

-a) 1.548E-06 J
+b) 1.703E-06 J
-c) 1.873E-06 J
-d) 2.061E-06 J
-e) 2.267E-06 J
3)
In the figure shown C1=19.0 μF, C2=2.35 μF, and C3=5.22 μF. The voltage source provides ε=6.01 V. What is the charge on C1?
-a) 2.444E+01 μC
-b) 2.689E+01 μC
-c) 2.958E+01 μC
+d) 3.253E+01 μC
-e) 3.579E+01 μC

4) The same parallel plate capacitor, with area 0.75 m2, plate separation 1.53mm, and an applied voltage of 5.05 kV. How much charge is stored?

-a) 16.57 μC.
-b) 19.06 μC.
+c) 21.92 μC.
-d) 25.21 μC.
-e) 28.99 μC.

5) An empty parallel-plate capacitor with metal plates has an area of 1.94 m2, separated by 1.36 mm. How much charge does it store if the voltage is 8.530E+03 V?

-a) 7.359E+01 μC
-b) 8.094E+01 μC
-c) 8.904E+01 μC
-d) 9.794E+01 μC
+e) 1.077E+02 μC

6) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

-a) 2.3 x 105 volts
+b) 3.4 x 105 volts
-c) 5.1 x 105 volts
-d) 7.7 x 105 volts
-e) 1.2 x 106 volts

7) A 12.0 V battery can move 38,000 C of charge. How many Joules does it deliver?

-a) 3.115E+05 J
-b) 3.426E+05 J
-c) 3.769E+05 J
-d) 4.145E+05 J
+e) 4.560E+05 J

8) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

+a) 1.81 J.
-b) 2.08 J.
-c) 2.39 J.
-d) 2.75 J.
-e) 3.16 J.
9)
A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.
-a) 4.104E+02 V
-b) 4.514E+02 V
-c) 4.965E+02 V
-d) 5.462E+02 V
+e) 6.008E+02 V

10) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

-a) 1.57 kV/m.
-b) 1.8 kV/m.
-c) 2.07 kV/m.
-d) 2.38 kV/m.
+e) 2.74 kV/m.

### Key: B0

1) A 2 C charge is separated from a 6 C charge by distance of 13 cm. What is the work done by increasing this separation to 16 cm?

+a) 1.556E-07 J
-b) 1.711E-07 J
-c) 1.882E-07 J
-d) 2.070E-07 J
-e) 2.277E-07 J
2)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=3 μC, q2=5 μC, q3=7 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
+a) 5.998E+01 J
-b) 6.598E+01 J
-c) 7.257E+01 J
-d) 7.983E+01 J
-e) 8.781E+01 J
3)
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.51 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.
-a) 5.261E+02 V
-b) 5.787E+02 V
+c) 6.365E+02 V
-d) 7.002E+02 V
-e) 7.702E+02 V
4)
In the figure shown C1=15.4 μF, C2=2.83 μF, and C3=4.99 μF. The voltage source provides ε=6.51 V. What is the charge on C1?
-a) 2.306E+01 μC
-b) 2.537E+01 μC
-c) 2.790E+01 μC
-d) 3.069E+01 μC
+e) 3.376E+01 μC
5)
What is the net capacitance if C1=3.54 μF, C2=3.53 μF, and C3=3.65 μF in the configuration shown?
-a) 3.700E+00 μF
-b) 4.070E+00 μF
-c) 4.477E+00 μF
-d) 4.925E+00 μF
+e) 5.417E+00 μF

6) A 0.9 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

-a) 2.68 kV/m.
-b) 3.08 kV/m.
-c) 3.54 kV/m.
+d) 4.07 kV/m.
-e) 4.69 kV/m.

7) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

-a) 3.28 nF.
-b) 3.77 nF.
+c) 4.34 nF.
-d) 4.99 nF.
-e) 5.74 nF.

8) The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

-a) 23.91 μC.
-b) 27.5 μC.
-c) 31.62 μC.
+d) 36.37 μC.
-e) 41.82 μC.

9) How fast is a 2928 eV electron moving?

-a) 6.3 x 106 m/s.
-b) 9.5 x 106 m/s.
-c) 1.4 x 107 m/s.
-d) 2.1 x 107 m/s.
+e) 3.2 x 107 m/s.

10) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

-a) 1.7 x 10-1 volts
+b) 2.6 x 10-1 volts
-c) 3.8 x 10-1 volts
-d) 5.8 x 10-1 volts
-e) 8.6 x 10-1 volts

#### Key: B1

1) A 4 C charge is separated from a 10 C charge by distance of 10 cm. What is the work done by increasing this separation to 19 cm?

-a) 1.548E-06 J
+b) 1.703E-06 J
-c) 1.873E-06 J
-d) 2.061E-06 J
-e) 2.267E-06 J

2) The same parallel plate capacitor, with area 0.75 m2, plate separation 1.53mm, and an applied voltage of 5.05 kV. How much charge is stored?

-a) 16.57 μC.
-b) 19.06 μC.
+c) 21.92 μC.
-d) 25.21 μC.
-e) 28.99 μC.
3)
What is the net capacitance if C1=2.24 μF, C2=4.86 μF, and C3=3.64 μF in the configuration shown?
-a) 4.275E+00 μF
-b) 4.703E+00 μF
+c) 5.173E+00 μF
-d) 5.691E+00 μF
-e) 6.260E+00 μF
4)
In the figure shown C1=17.7 μF, C2=2.5 μF, and C3=5.0 μF. The voltage source provides ε=12.8 V. What is the charge on C1?
-a) 5.066E+01 μC
-b) 5.573E+01 μC
-c) 6.130E+01 μC
+d) 6.743E+01 μC
-e) 7.417E+01 μC

5) How fast is a 2672 eV electron moving?

-a) 6.1 x 106 m/s.
-b) 9.1 x 106 m/s.
-c) 1.4 x 107 m/s.
-d) 2 x 107 m/s.
+e) 3.1 x 107 m/s.
6)
Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.) The charges are q1=4 μC, q2=7 μC, q3=10 μC, and q4=12 μC. How much work was required to assemble these four charges from infinity?
-a) 1.194E+02 J
-b) 1.314E+02 J
-c) 1.445E+02 J
+d) 1.589E+02 J
-e) 1.748E+02 J

7) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

-a) 4.4 x 10-6 volts
-b) 6.6 x 10-6 volts
-c) 9.9 x 10-6 volts
-d) 1.5 x 10-5 volts
+e) 2.2 x 10-5 volts
8)
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.39 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.56 cm, y=2.19 cm)? Note that following the textbook's example, the y-value of the field point at 2.19 cm matches the disance of the positive charge above the x-axis.
-a) 3.852E+02 V
-b) 4.238E+02 V
+c) 4.661E+02 V
-d) 5.127E+02 V
-e) 5.640E+02 V

9) A parallel plate capacitor has both plates with an area of 0.55 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 4.25 kV. What is the capacitance?

-a) 6.95 nF.
-b) 7.99 nF.
+c) 9.19 nF.
-d) 10.57 nF.
-e) 12.15 nF.

10) A 0.5 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

-a) 3.46 kV/m.
-b) 3.98 kV/m.
+c) 4.57 kV/m.
-d) 5.26 kV/m.
-e) 6.05 kV/m.

#### Key: B2

1) How fast is a 2952 eV electron moving?

-a) 6.4 x 106 m/s.
-b) 9.5 x 106 m/s.
-c) 1.4 x 107 m/s.
-d) 2.1 x 107 m/s.
+e) 3.2 x 107 m/s.
2)
What is the net capacitance if C1=3.54 μF, C2=3.53 μF, and C3=3.65 μF in the configuration shown?
-a) 3.700E+00 μF
-b) 4.070E+00 μF
-c) 4.477E+00 μF
-d) 4.925E+00 μF
+e) 5.417E+00 μF
3)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 7.982E+01 J
+b) 8.780E+01 J
-c) 9.658E+01 J
-d) 1.062E+02 J
-e) 1.169E+02 J

4) A 0.9 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

-a) 2.68 kV/m.
-b) 3.08 kV/m.
-c) 3.54 kV/m.
+d) 4.07 kV/m.
-e) 4.69 kV/m.

5) A 7 C charge is separated from a 12 C charge by distance of 11 cm. What is the work done by increasing this separation to 19 cm?

+a) 2.890E-06 J
-b) 3.179E-06 J
-c) 3.497E-06 J
-d) 3.846E-06 J
-e) 4.231E-06 J

6) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

-a) 42.21 μC.
-b) 48.54 μC.
-c) 55.82 μC.
+d) 64.19 μC.
-e) 73.82 μC.

7) What voltage is required accelerate an electron at rest to a speed of 1.5 x 103 m/s?

-a) 1.9 x 10-6 volts
-b) 2.8 x 10-6 volts
-c) 4.3 x 10-6 volts
+d) 6.4 x 10-6 volts
-e) 9.6 x 10-6 volts
8)
A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.
-a) 4.590E+02 V
-b) 5.049E+02 V
-c) 5.554E+02 V
+d) 6.109E+02 V
-e) 6.720E+02 V

9) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 3.55 kV. What is the capacitance?

-a) 7.16 nF.
-b) 8.24 nF.
-c) 9.47 nF.
-d) 10.9 nF.
+e) 12.53 nF.
10)
In the figure shown C1=19.9 μF, C2=2.25 μF, and C3=4.75 μF. The voltage source provides ε=6.93 V. What is the charge on C1?
-a) 2.451E+01 μC
-b) 2.696E+01 μC
-c) 2.966E+01 μC
-d) 3.262E+01 μC
+e) 3.589E+01 μC

### Key: C0

1) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?

-a) 3.570E+05 J
-b) 3.927E+05 J
+c) 4.320E+05 J
-d) 4.752E+05 J
-e) 5.227E+05 J
2)
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.08 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.16 cm, y=2.04 cm)? Note that following the textbook's example, the y-value of the field point at 2.04 cm matches the disance of the positive charge above the x-axis.
-a) 7.017E+02 V
+b) 7.718E+02 V
-c) 8.490E+02 V
-d) 9.339E+02 V
-e) 1.027E+03 V

3) When a 3.8 V battery operates a 1.67 W bulb, how many electrons pass through it each second?

-a) 1.873E+18 electrons
-b) 2.061E+18 electrons
-c) 2.267E+18 electrons
-d) 2.494E+18 electrons
+e) 2.743E+18 electrons
4)
What is the net capacitance if C1=2.96 μF, C2=3.95 μF, and C3=3.74 μF in the configuration shown?
-a) 4.489E+00 μF
-b) 4.938E+00 μF
+c) 5.432E+00 μF
-d) 5.975E+00 μF
-e) 6.573E+00 μF
5)
In the figure shown C1=18.2 μF, C2=2.44 μF, and C3=5.0 μF. The voltage source provides ε=7.78 V. What is the energy stored in C2?
-a) 1.225E+01 μJ
+b) 1.347E+01 μJ
-c) 1.482E+01 μJ
-d) 1.630E+01 μJ
-e) 1.793E+01 μJ

6) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 2.55 kV. What is the capacitance?

+a) 8.39 nF.
-b) 9.65 nF.
-c) 11.1 nF.
-d) 12.76 nF.
-e) 14.68 nF.

7) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

-a) 2.23 J.
+b) 2.56 J.
-c) 2.94 J.
-d) 3.39 J.
-e) 3.89 J.

8) The same parallel plate capacitor, with area 1.45 m2, plate separation 1.53mm, and an applied voltage of 2.55 kV. How much charge is stored?

-a) 12.23 μC.
-b) 14.07 μC.
-c) 16.18 μC.
-d) 18.61 μC.
+e) 21.4 μC.

9) A proton is accellerated (at rest) from a plate held at 4.7 volts to a plate at zero volts. What is the final speed?

-a) 5.9 x 103 m/s.
-b) 8.9 x 103 m/s.
-c) 1.3 x 104 m/s.
-d) 2 x 104 m/s.
+e) 3 x 104 m/s.

10) How fast is a 2663 eV electron moving?

+a) 3.1 x 107 m/s.
-b) 4.6 x 107 m/s.
-c) 6.9 x 107 m/s.
-d) 1 x 108 m/s.
-e) 1.5 x 108 m/s.

#### Key: C1

1)
In the figure shown C1=16.1 μF, C2=2.14 μF, and C3=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C2?
+a) 1.199E+01 μJ
-b) 1.319E+01 μJ
-c) 1.450E+01 μJ
-d) 1.595E+01 μJ
-e) 1.755E+01 μJ

2) A 12.0 V battery can move 49,000 C of charge. How many Joules does it deliver?

+a) 5.880E+05 J
-b) 6.468E+05 J
-c) 7.115E+05 J
-d) 7.826E+05 J
-e) 8.609E+05 J
3)
What is the net capacitance if C1=4.55 μF, C2=4.39 μF, and C3=3.32 μF in the configuration shown?
-a) 4.173E+00 μF
-b) 4.590E+00 μF
-c) 5.049E+00 μF
+d) 5.554E+00 μF
-e) 6.110E+00 μF

4) A proton is accellerated (at rest) from a plate held at 767.8 volts to a plate at zero volts. What is the final speed?

-a) 1.1 x 105 m/s.
-b) 1.7 x 105 m/s.
-c) 2.6 x 105 m/s.
+d) 3.8 x 105 m/s.
-e) 5.8 x 105 m/s.

5) How fast is a 2493 eV electron moving?

-a) 1.3 x 107 m/s.
-b) 2 x 107 m/s.
+c) 3 x 107 m/s.
-d) 4.4 x 107 m/s.
-e) 6.7 x 107 m/s.

6) When a 4.63 V battery operates a 2.26 W bulb, how many electrons pass through it each second?

-a) 2.770E+18 electrons
+b) 3.047E+18 electrons
-c) 3.351E+18 electrons
-d) 3.686E+18 electrons
-e) 4.055E+18 electrons
7)
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.09 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.45 cm, y=2.04 cm)? Note that following the textbook's example, the y-value of the field point at 2.04 cm matches the disance of the positive charge above the x-axis.
-a) 3.814E+02 V
-b) 4.195E+02 V
+c) 4.615E+02 V
-d) 5.077E+02 V
-e) 5.584E+02 V

8) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 0.38 J.
+b) 0.43 J.
-c) 0.5 J.
-d) 0.57 J.
-e) 0.66 J.

9) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

-a) 3.28 nF.
-b) 3.77 nF.
+c) 4.34 nF.
-d) 4.99 nF.
-e) 5.74 nF.

10) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

-a) 42.21 μC.
-b) 48.54 μC.
-c) 55.82 μC.
+d) 64.19 μC.
-e) 73.82 μC.

#### Key: C2

1) A proton is accellerated (at rest) from a plate held at 318.6 volts to a plate at zero volts. What is the final speed?

-a) 1.6 x 105 m/s.
+b) 2.5 x 105 m/s.
-c) 3.7 x 105 m/s.
-d) 5.6 x 105 m/s.
-e) 8.3 x 105 m/s.

2) When a 2.76 V battery operates a 2.71 W bulb, how many electrons pass through it each second?

-a) 5.571E+18 electrons
+b) 6.128E+18 electrons
-c) 6.741E+18 electrons
-d) 7.415E+18 electrons
-e) 8.157E+18 electrons

3) How fast is a 2493 eV electron moving?

-a) 1.3 x 107 m/s.
-b) 2 x 107 m/s.
+c) 3 x 107 m/s.
-d) 4.4 x 107 m/s.
-e) 6.7 x 107 m/s.
4)
A diploe has a charge magnitude of q=4 nC and a separation distance of d=3.79 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.2 cm, y=1.9 cm)? Note that following the textbook's example, the y-value of the field point at 1.9 cm matches the disance of the positive charge above the x-axis.
-a) 2.731E+02 V
-b) 3.004E+02 V
-c) 3.304E+02 V
-d) 3.634E+02 V
+e) 3.998E+02 V
5)
What is the net capacitance if C1=4.13 μF, C2=3.56 μF, and C3=3.57 μF in the configuration shown?
+a) 5.482E+00 μF
-b) 6.030E+00 μF
-c) 6.633E+00 μF
-d) 7.296E+00 μF
-e) 8.026E+00 μF
6)
In the figure shown C1=20.7 μF, C2=2.79 μF, and C3=5.18 μF. The voltage source provides ε=15.0 V. What is the energy stored in C2?
-a) 2.064E+01 μJ
-b) 2.270E+01 μJ
-c) 2.497E+01 μJ
-d) 2.747E+01 μJ
+e) 3.022E+01 μJ

7) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

-a) 0.81 J.
-b) 0.93 J.
+c) 1.07 J.
-d) 1.23 J.
-e) 1.41 J.

8) A 12.0 V battery can move 38,000 C of charge. How many Joules does it deliver?

-a) 3.115E+05 J
-b) 3.426E+05 J
-c) 3.769E+05 J
-d) 4.145E+05 J
+e) 4.560E+05 J

9) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 0.93mm. Applied to the plates is a potential difference of 4.45 kV. What is the capacitance?

-a) 12 nF.
+b) 13.8 nF.
-c) 15.88 nF.
-d) 18.26 nF.
-e) 21 nF.

10) The same parallel plate capacitor, with area 1.45 m2, plate separation 1.53mm, and an applied voltage of 2.55 kV. How much charge is stored?

-a) 12.23 μC.
-b) 14.07 μC.
-c) 16.18 μC.
-d) 18.61 μC.
+e) 21.4 μC.

### Key: D0

1) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x2 + y2 + z2 = R2, where R=

-a) 1.422E+00 m
-b) 1.564E+00 m
-c) 1.720E+00 m
+d) 1.892E+00 m
-e) 2.081E+00 m

2) Assume that a 26 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (13 cm, 42°).

-a) 7.263E+02 V
+b) 7.989E+02 V
-c) 8.788E+02 V
-d) 9.667E+02 V
-e) 1.063E+03 V

3) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?

+a) 9.521E-01 mm
-b) 1.095E+00 mm
-c) 1.259E+00 mm
-d) 1.448E+00 mm
-e) 1.665E+00 mm
4)
What is the net capacitance if C1=4.12 μF, C2=3.45 μF, and C3=3.41 μF in the configuration shown?
-a) 4.370E+00 μF
-b) 4.807E+00 μF
+c) 5.288E+00 μF
-d) 5.816E+00 μF
-e) 6.398E+00 μF

5) An empty parallel-plate capacitor with metal plates has an area of 1.81 m2, separated by 1.26 mm. How much charge does it store if the voltage is 4.610E+03 V?

-a) 4.005E+01 μC
-b) 4.405E+01 μC
-c) 4.846E+01 μC
-d) 5.330E+01 μC
+e) 5.864E+01 μC

6) A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

-a) 3.2 kV/m.
-b) 3.68 kV/m.
-c) 4.24 kV/m.
+d) 4.87 kV/m.
-e) 5.6 kV/m.

7) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

-a) 3180 N.
+b) 3657 N.
-c) 4206 N.
-d) 4837 N.
-e) 5562 N.

8) The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

-a) 23.91 μC.
-b) 27.5 μC.
-c) 31.62 μC.
+d) 36.37 μC.
-e) 41.82 μC.

9) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

-a) 1.7 x 10-1 volts
+b) 2.6 x 10-1 volts
-c) 3.8 x 10-1 volts
-d) 5.8 x 10-1 volts
-e) 8.6 x 10-1 volts

10) How fast is a 2663 eV electron moving?

+a) 3.1 x 107 m/s.
-b) 4.6 x 107 m/s.
-c) 6.9 x 107 m/s.
-d) 1 x 108 m/s.
-e) 1.5 x 108 m/s.

#### Key: D1

1) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=26 V is x2 + y2 + z2 = R2, where R=

-a) 3.636E+00 m
-b) 4.000E+00 m
-c) 4.399E+00 m
+d) 4.839E+00 m
-e) 5.323E+00 m

2) The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

-a) 40.39 μC.
-b) 46.45 μC.
-c) 53.42 μC.
+d) 61.43 μC.
-e) 70.65 μC.

3) What voltage is required accelerate an electron at rest to a speed of 1.7 x 105 m/s?

-a) 1.6 x 10-2 volts
-b) 2.4 x 10-2 volts
-c) 3.7 x 10-2 volts
-d) 5.5 x 10-2 volts
+e) 8.2 x 10-2 volts
4)
What is the net capacitance if C1=2.3 μF, C2=2.84 μF, and C3=3.41 μF in the configuration shown?
-a) 4.255E+00 μF
+b) 4.681E+00 μF
-c) 5.149E+00 μF
-d) 5.664E+00 μF
-e) 6.230E+00 μF

5) How fast is a 2952 eV electron moving?

-a) 6.4 x 106 m/s.
-b) 9.5 x 106 m/s.
-c) 1.4 x 107 m/s.
-d) 2.1 x 107 m/s.
+e) 3.2 x 107 m/s.

6) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 1473 N.
-b) 1694 N.
-c) 1948 N.
+d) 2241 N.
-e) 2577 N.

7) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

-a) 1.91 kV/m.
-b) 2.19 kV/m.
-c) 2.52 kV/m.
-d) 2.9 kV/m.
+e) 3.33 kV/m.

8) An empty parallel-plate capacitor with metal plates has an area of 2.45 m2, separated by 1.18 mm. How much charge does it store if the voltage is 4.060E+03 V?

-a) 5.608E+01 μC
-b) 6.168E+01 μC
-c) 6.785E+01 μC
+d) 7.464E+01 μC
-e) 8.210E+01 μC

9) Assume that a 5 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (13 cm, 31°).

-a) 1.397E+02 V
+b) 1.536E+02 V
-c) 1.690E+02 V
-d) 1.859E+02 V
-e) 2.045E+02 V

10) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?

+a) 9.521E-01 mm
-b) 1.095E+00 mm
-c) 1.259E+00 mm
-d) 1.448E+00 mm
-e) 1.665E+00 mm

#### Key: D2

1)
What is the net capacitance if C1=2.3 μF, C2=2.84 μF, and C3=3.41 μF in the configuration shown?
-a) 4.255E+00 μF
+b) 4.681E+00 μF
-c) 5.149E+00 μF
-d) 5.664E+00 μF
-e) 6.230E+00 μF

2) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.6 mm apart?

-a) 412 N.
-b) 474 N.
-c) 545 N.
-d) 626 N.
+e) 720 N.

3) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=

-a) 1.598E+00 m
-b) 1.757E+00 m
-c) 1.933E+00 m
-d) 2.127E+00 m
+e) 2.339E+00 m

4) The same parallel plate capacitor, with area 0.75 m2, plate separation 0.53mm, and an applied voltage of 3.55 kV. How much charge is stored?

-a) 29.25 μC.
-b) 33.63 μC.
-c) 38.68 μC.
+d) 44.48 μC.
-e) 51.15 μC.

5) An empty parallel-plate capacitor with metal plates has an area of 1.94 m2, separated by 1.36 mm. How much charge does it store if the voltage is 8.530E+03 V?

-a) 7.359E+01 μC
-b) 8.094E+01 μC
-c) 8.904E+01 μC
-d) 9.794E+01 μC
+e) 1.077E+02 μC

6) A 1.4 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

-a) 0.86 kV/m.
-b) 0.99 kV/m.
-c) 1.14 kV/m.
+d) 1.31 kV/m.
-e) 1.51 kV/m.

7) Assume that a 3 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (6 cm, 0°) and P2 is at (12 cm, 32°).

-a) 1.857E+02 V
-b) 2.043E+02 V
+c) 2.247E+02 V
-d) 2.472E+02 V
-e) 2.719E+02 V

8) How fast is a 2355 eV electron moving?

-a) 1.9 x 107 m/s.
+b) 2.9 x 107 m/s.
-c) 4.3 x 107 m/s.
-d) 6.5 x 107 m/s.
-e) 9.7 x 107 m/s.

9) Two large parallel conducting plates are separated by 7.42 mm. Equal and opposite surface charges of 7.760E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?

-a) 3.979E-01 mm
-b) 4.576E-01 mm
-c) 5.263E-01 mm
-d) 6.052E-01 mm
+e) 6.960E-01 mm

10) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?

-a) 3.2 x 103 volts
-b) 4.9 x 103 volts
-c) 7.3 x 103 volts
-d) 1.1 x 104 volts
+e) 1.6 x 104 volts

### Key: E0

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 46 V.

-a) 3.022E+06 m/s
-b) 3.324E+06 m/s
-c) 3.657E+06 m/s
+d) 4.023E+06 m/s
-e) 4.425E+06 m/s
2)
An electron gun has parallel plates separated by 3.39 cm and gives electrons 57 keV of energy. What force would the field between the plates exert on a 0.218 μC charge that gets between the plates?
-a) 3.029E-01 N
-b) 3.332E-01 N
+c) 3.665E-01 N
-d) 4.032E-01 N
-e) 4.435E-01 N

3) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (16 cm, 71°).

-a) 1.969E+02 V
-b) 2.166E+02 V
-c) 2.383E+02 V
+d) 2.621E+02 V
-e) 2.884E+02 V

4) An empty parallel-plate capacitor with metal plates has an area of 1.94 m2, separated by 1.27 mm. How much charge does it store if the voltage is 8.780E+03 V?

-a) 1.080E+02 μC
+b) 1.188E+02 μC
-c) 1.306E+02 μC
-d) 1.437E+02 μC
-e) 1.581E+02 μC
5)
In the figure shown C1=18.2 μF, C2=2.44 μF, and C3=5.0 μF. The voltage source provides ε=7.78 V. What is the energy stored in C2?
-a) 1.225E+01 μJ
+b) 1.347E+01 μJ
-c) 1.482E+01 μJ
-d) 1.630E+01 μJ
-e) 1.793E+01 μJ

6) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 3.55 kV. What is the capacitance?

-a) 7.16 nF.
-b) 8.24 nF.
-c) 9.47 nF.
-d) 10.9 nF.
+e) 12.53 nF.

7) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

-a) 0.91 J.
-b) 1.05 J.
-c) 1.21 J.
+d) 1.39 J.
-e) 1.6 J.

8) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

-a) 2319 N.
+b) 2667 N.
-c) 3067 N.
-d) 3527 N.
-e) 4056 N.

9) A proton is accelerated (at rest) from a plate held at 333.6 volts to a plate at zero volts. What is the final speed?

-a) 1.1 x 105 m/s.
-b) 1.7 x 105 m/s.
+c) 2.5 x 105 m/s.
-d) 3.8 x 105 m/s.
-e) 5.7 x 105 m/s.

10) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

-a) 4.4 x 10-6 volts
-b) 6.6 x 10-6 volts
-c) 9.9 x 10-6 volts
-d) 1.5 x 10-5 volts
+e) 2.2 x 10-5 volts

#### Key: E1

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.

-a) 1.942E+06 m/s
-b) 2.137E+06 m/s
-c) 2.350E+06 m/s
+d) 2.585E+06 m/s
-e) 2.844E+06 m/s

2) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

-a) 0.81 J.
-b) 0.93 J.
+c) 1.07 J.
-d) 1.23 J.
-e) 1.41 J.

3) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

-a) 1.7 x 10-1 volts
+b) 2.6 x 10-1 volts
-c) 3.8 x 10-1 volts
-d) 5.8 x 10-1 volts
-e) 8.6 x 10-1 volts
4)
An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 μC charge that gets between the plates?
-a) 8.430E-01 N
-b) 9.273E-01 N
+c) 1.020E+00 N
-d) 1.122E+00 N
-e) 1.234E+00 N

5) Assume that a 25 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (5 cm, 0°) and P2 is at (13 cm, 70°).

-a) 2.285E+03 V
-b) 2.514E+03 V
+c) 2.765E+03 V
-d) 3.042E+03 V
-e) 3.346E+03 V

6) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.6 mm apart?

-a) 412 N.
-b) 474 N.
-c) 545 N.
-d) 626 N.
+e) 720 N.

7) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

-a) 3.28 nF.
-b) 3.77 nF.
+c) 4.34 nF.
-d) 4.99 nF.
-e) 5.74 nF.

8) An empty parallel-plate capacitor with metal plates has an area of 2.51 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.230E+03 V?

-a) 2.351E+01 μC
-b) 2.586E+01 μC
-c) 2.844E+01 μC
-d) 3.129E+01 μC
+e) 3.442E+01 μC
9)
In the figure shown C1=17.2 μF, C2=2.71 μF, and C3=5.28 μF. The voltage source provides ε=13.2 V. What is the energy stored in C2?
+a) 2.443E+01 μJ
-b) 2.687E+01 μJ
-c) 2.955E+01 μJ
-d) 3.251E+01 μJ
-e) 3.576E+01 μJ

10) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

-a) 3.9 x 104 m/s.
-b) 5.8 x 104 m/s.
+c) 8.7 x 104 m/s.
-d) 1.3 x 105 m/s.
-e) 2 x 105 m/s.

#### Key: E2

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.

-a) 3.617E+06 m/s
+b) 3.979E+06 m/s
-c) 4.376E+06 m/s
-d) 4.814E+06 m/s
-e) 5.296E+06 m/s

2) Assume that a 23 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (7 cm, 0°) and P2 is at (13 cm, 18°).

-a) 1.024E+03 V
-b) 1.126E+03 V
-c) 1.239E+03 V
+d) 1.363E+03 V
-e) 1.499E+03 V

3) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the force between the plates if they are 0.6 mm apart?

-a) 2381 N.
-b) 2738 N.
+c) 3149 N.
-d) 3621 N.
-e) 4164 N.

4) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

-a) 3.28 nF.
-b) 3.77 nF.
+c) 4.34 nF.
-d) 4.99 nF.
-e) 5.74 nF.

5) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

-a) 0.44 J.
-b) 0.51 J.
-c) 0.58 J.
+d) 0.67 J.
-e) 0.77 J.

6) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

-a) 3.9 x 104 m/s.
-b) 5.8 x 104 m/s.
+c) 8.7 x 104 m/s.
-d) 1.3 x 105 m/s.
-e) 2 x 105 m/s.
7)
In the figure shown C1=18.7 μF, C2=2.15 μF, and C3=4.88 μF. The voltage source provides ε=11.9 V. What is the energy stored in C2?
-a) 1.270E+01 μJ
-b) 1.397E+01 μJ
-c) 1.537E+01 μJ
-d) 1.690E+01 μJ
+e) 1.859E+01 μJ

8) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

-a) 1.7 x 10-1 volts
+b) 2.6 x 10-1 volts
-c) 3.8 x 10-1 volts
-d) 5.8 x 10-1 volts
-e) 8.6 x 10-1 volts

9) An empty parallel-plate capacitor with metal plates has an area of 2.59 m2, separated by 1.23 mm. How much charge does it store if the voltage is 2.200E+03 V?

-a) 3.082E+01 μC
-b) 3.390E+01 μC
-c) 3.729E+01 μC
+d) 4.102E+01 μC
-e) 4.512E+01 μC
10)
An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 μC charge that gets between the plates?
-a) 3.977E-01 N
-b) 4.374E-01 N
-c) 4.812E-01 N
+d) 5.293E-01 N
-e) 5.822E-01 N

### Key: F0

1) Assume that a 17 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (12 cm, 15°).

+a) 4.244E+02 V
-b) 4.669E+02 V
-c) 5.135E+02 V
-d) 5.649E+02 V
-e) 6.214E+02 V

2) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.

-a) 1.942E+06 m/s
-b) 2.137E+06 m/s
-c) 2.350E+06 m/s
+d) 2.585E+06 m/s
-e) 2.844E+06 m/s

3) A 12.0 V battery can move 27,000 C of charge. How many Joules does it deliver?

-a) 2.213E+05 J
-b) 2.434E+05 J
-c) 2.678E+05 J
-d) 2.945E+05 J
+e) 3.240E+05 J

4) An empty parallel-plate capacitor with metal plates has an area of 2.1 m2, separated by 1.13 mm. How much charge does it store if the voltage is 1.680E+03 V?

+a) 2.764E+01 μC
-b) 3.041E+01 μC
-c) 3.345E+01 μC
-d) 3.679E+01 μC
-e) 4.047E+01 μC
5)
In the figure shown C1=18.1 μF, C2=2.13 μF, and C3=5.48 μF. The voltage source provides ε=14.6 V. What is the energy stored in C2?
-a) 1.645E+01 μJ
-b) 1.809E+01 μJ
-c) 1.990E+01 μJ
+d) 2.189E+01 μJ
-e) 2.408E+01 μJ

6) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 4025 N.
+b) 4628 N.
-c) 5322 N.
-d) 6121 N.
-e) 7039 N.

7) A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

-a) 3.2 kV/m.
-b) 3.68 kV/m.
-c) 4.24 kV/m.
+d) 4.87 kV/m.
-e) 5.6 kV/m.

8) The same parallel plate capacitor, with area 0.75 m2, plate separation 1.53mm, and an applied voltage of 5.05 kV. How much charge is stored?

-a) 16.57 μC.
-b) 19.06 μC.
+c) 21.92 μC.
-d) 25.21 μC.
-e) 28.99 μC.

9) What voltage is required accelerate an electron at rest to a speed of 5.5 x 105 m/s?

-a) 2.5 x 10-1 volts
-b) 3.8 x 10-1 volts
-c) 5.7 x 10-1 volts
+d) 8.6 x 10-1 volts
-e) 1.3 x 100 volts

10) How fast is a 2493 eV electron moving?

-a) 1.3 x 107 m/s.
-b) 2 x 107 m/s.
+c) 3 x 107 m/s.
-d) 4.4 x 107 m/s.
-e) 6.7 x 107 m/s.

#### Key: F1

1) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the force between the plates if they are 0.5 mm apart?

-a) 2065 N.
-b) 2375 N.
-c) 2732 N.
-d) 3141 N.
+e) 3613 N.
2)
In the figure shown C1=16.9 μF, C2=2.86 μF, and C3=5.1 μF. The voltage source provides ε=9.98 V. What is the energy stored in C2?
-a) 1.764E+01 μJ
+b) 1.940E+01 μJ
-c) 2.134E+01 μJ
-d) 2.348E+01 μJ
-e) 2.583E+01 μJ

3) A 12.0 V battery can move 26,000 C of charge. How many Joules does it deliver?

-a) 2.836E+05 J
+b) 3.120E+05 J
-c) 3.432E+05 J
-d) 3.775E+05 J
-e) 4.153E+05 J

4) The same parallel plate capacitor, with area 0.75 m2, plate separation 0.53mm, and an applied voltage of 3.55 kV. How much charge is stored?

-a) 29.25 μC.
-b) 33.63 μC.
-c) 38.68 μC.
+d) 44.48 μC.
-e) 51.15 μC.

5) What voltage is required accelerate an electron at rest to a speed of 5.6 x 104 m/s?

-a) 5.9 x 10-3 volts
+b) 8.9 x 10-3 volts
-c) 1.3 x 10-2 volts
-d) 2 x 10-2 volts
-e) 3 x 10-2 volts

6) How fast is a 2672 eV electron moving?

-a) 6.1 x 106 m/s.
-b) 9.1 x 106 m/s.
-c) 1.4 x 107 m/s.
-d) 2 x 107 m/s.
+e) 3.1 x 107 m/s.

7) Assume that a 23 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (7 cm, 0°) and P2 is at (13 cm, 18°).

-a) 1.024E+03 V
-b) 1.126E+03 V
-c) 1.239E+03 V
+d) 1.363E+03 V
-e) 1.499E+03 V

8) An empty parallel-plate capacitor with metal plates has an area of 2.16 m2, separated by 1.12 mm. How much charge does it store if the voltage is 1.530E+03 V?

-a) 2.375E+01 μC
+b) 2.613E+01 μC
-c) 2.874E+01 μC
-d) 3.161E+01 μC
-e) 3.477E+01 μC

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.

-a) 3.288E+06 m/s
-b) 3.617E+06 m/s
+c) 3.979E+06 m/s
-d) 4.376E+06 m/s
-e) 4.814E+06 m/s

10) A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

-a) 3.2 kV/m.
-b) 3.68 kV/m.
-c) 4.24 kV/m.
+d) 4.87 kV/m.
-e) 5.6 kV/m.

#### Key: F2

1)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
-a) 6.750E+00 μJ
-b) 7.425E+00 μJ
+c) 8.168E+00 μJ
-d) 8.984E+00 μJ
-e) 9.883E+00 μJ

2) An empty parallel-plate capacitor with metal plates has an area of 2.66 m2, separated by 1.18 mm. How much charge does it store if the voltage is 6.170E+03 V?

+a) 1.231E+02 μC
-b) 1.355E+02 μC
-c) 1.490E+02 μC
-d) 1.639E+02 μC
-e) 1.803E+02 μC

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.

-a) 1.544E+06 m/s
-b) 1.698E+06 m/s
-c) 1.868E+06 m/s
+d) 2.055E+06 m/s
-e) 2.260E+06 m/s

4) Assume that a 11 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (12 cm, 14°).

-a) 1.876E+02 V
-b) 2.063E+02 V
-c) 2.270E+02 V
-d) 2.497E+02 V
+e) 2.746E+02 V

5) A 12.0 V battery can move 41,000 C of charge. How many Joules does it deliver?

-a) 3.696E+05 J
-b) 4.066E+05 J
-c) 4.473E+05 J
+d) 4.920E+05 J
-e) 5.412E+05 J

6) A 1.4 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

-a) 0.86 kV/m.
-b) 0.99 kV/m.
-c) 1.14 kV/m.
+d) 1.31 kV/m.
-e) 1.51 kV/m.

7) The same parallel plate capacitor, with area 0.55 m2, plate separation 0.53mm, and an applied voltage of 4.25 kV. How much charge is stored?

+a) 39.05 μC.
-b) 44.91 μC.
-c) 51.64 μC.
-d) 59.39 μC.
-e) 68.3 μC.

8) How fast is a 2355 eV electron moving?

-a) 1.9 x 107 m/s.
+b) 2.9 x 107 m/s.
-c) 4.3 x 107 m/s.
-d) 6.5 x 107 m/s.
-e) 9.7 x 107 m/s.

9) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the force between the plates if they are 0.5 mm apart?

-a) 2065 N.
-b) 2375 N.
-c) 2732 N.
-d) 3141 N.
+e) 3613 N.

10) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?

-a) 3.2 x 103 volts
-b) 4.9 x 103 volts
-c) 7.3 x 103 volts
-d) 1.1 x 104 volts
+e) 1.6 x 104 volts

### Key: G0

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.

-a) 1.942E+06 m/s
-b) 2.137E+06 m/s
-c) 2.350E+06 m/s
+d) 2.585E+06 m/s
-e) 2.844E+06 m/s

2) If a 26 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=21 V is x2 + y2 + z2 = R2, where R=

-a) 8.360E+00 m
-b) 9.196E+00 m
-c) 1.012E+01 m
+d) 1.113E+01 m
-e) 1.224E+01 m
3)
An electron gun has parallel plates separated by 4.36 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.816 μC charge that gets between the plates?
-a) 2.212E-01 N
+b) 2.433E-01 N
-c) 2.676E-01 N
-d) 2.944E-01 N
-e) 3.238E-01 N

4) An empty parallel-plate capacitor with metal plates has an area of 1.73 m2, separated by 1.16 mm. How much charge does it store if the voltage is 1.130E+03 V?

-a) 1.121E+01 μC
-b) 1.233E+01 μC
-c) 1.357E+01 μC
+d) 1.492E+01 μC
-e) 1.641E+01 μC
5)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
-a) 6.750E+00 μJ
-b) 7.425E+00 μJ
+c) 8.168E+00 μJ
-d) 8.984E+00 μJ
-e) 9.883E+00 μJ

6) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

-a) 0.81 J.
-b) 0.93 J.
+c) 1.07 J.
-d) 1.23 J.
-e) 1.41 J.

7) The same parallel plate capacitor, with area 0.55 m2, plate separation 0.53mm, and an applied voltage of 4.25 kV. How much charge is stored?

+a) 39.05 μC.
-b) 44.91 μC.
-c) 51.64 μC.
-d) 59.39 μC.
-e) 68.3 μC.

8) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 4025 N.
+b) 4628 N.
-c) 5322 N.
-d) 6121 N.
-e) 7039 N.

9) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

-a) 2.3 x 105 volts
+b) 3.4 x 105 volts
-c) 5.1 x 105 volts
-d) 7.7 x 105 volts
-e) 1.2 x 106 volts

10) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

-a) 3.9 x 104 m/s.
-b) 5.8 x 104 m/s.
+c) 8.7 x 104 m/s.
-d) 1.3 x 105 m/s.
-e) 2 x 105 m/s.

#### Key: G1

1)
An electron gun has parallel plates separated by 4.95 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.516 μC charge that gets between the plates?
+a) 1.355E-01 N
-b) 1.491E-01 N
-c) 1.640E-01 N
-d) 1.804E-01 N
-e) 1.984E-01 N

2) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

-a) 1.28 J.
-b) 1.47 J.
+c) 1.69 J.
-d) 1.94 J.
-e) 2.24 J.

3) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the force between the plates if they are 0.5 mm apart?

-a) 2065 N.
-b) 2375 N.
-c) 2732 N.
-d) 3141 N.
+e) 3613 N.
4)
In the figure shown C1=18.1 μF, C2=2.13 μF, and C3=5.48 μF. The voltage source provides ε=14.6 V. What is the energy stored in C2?
-a) 1.645E+01 μJ
-b) 1.809E+01 μJ
-c) 1.990E+01 μJ
+d) 2.189E+01 μJ
-e) 2.408E+01 μJ

5) What voltage is required to stop a proton moving at a speed of 7.6 x 106 m/s?

+a) 3 x 105 volts
-b) 4.5 x 105 volts
-c) 6.8 x 105 volts
-d) 1 x 106 volts
-e) 1.5 x 106 volts

6) A proton is accellerated (at rest) from a plate held at 767.8 volts to a plate at zero volts. What is the final speed?

-a) 1.1 x 105 m/s.
-b) 1.7 x 105 m/s.
-c) 2.6 x 105 m/s.
+d) 3.8 x 105 m/s.
-e) 5.8 x 105 m/s.

7) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=

-a) 1.598E+00 m
-b) 1.757E+00 m
-c) 1.933E+00 m
-d) 2.127E+00 m
+e) 2.339E+00 m

8) The same parallel plate capacitor, with area 1.45 m2, plate separation 1.53mm, and an applied voltage of 2.55 kV. How much charge is stored?

-a) 12.23 μC.
-b) 14.07 μC.
-c) 16.18 μC.
-d) 18.61 μC.
+e) 21.4 μC.

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.

-a) 1.698E+06 m/s
-b) 1.868E+06 m/s
+c) 2.055E+06 m/s
-d) 2.260E+06 m/s
-e) 2.486E+06 m/s

10) An empty parallel-plate capacitor with metal plates has an area of 2.51 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.230E+03 V?

-a) 2.351E+01 μC
-b) 2.586E+01 μC
-c) 2.844E+01 μC
-d) 3.129E+01 μC
+e) 3.442E+01 μC

#### Key: G2

1) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

-a) 2319 N.
+b) 2667 N.
-c) 3067 N.
-d) 3527 N.
-e) 4056 N.

2) Calculate the final speed of a free electron accelerated from rest through a potential difference of 46 V.

-a) 3.022E+06 m/s
-b) 3.324E+06 m/s
-c) 3.657E+06 m/s
+d) 4.023E+06 m/s
-e) 4.425E+06 m/s

3) What voltage is required to stop a proton moving at a speed of 5.2 x 107 m/s?

-a) 9.4 x 106 volts
+b) 1.4 x 107 volts
-c) 2.1 x 107 volts
-d) 3.2 x 107 volts
-e) 4.8 x 107 volts
4)
In the figure shown C1=17.2 μF, C2=2.71 μF, and C3=5.28 μF. The voltage source provides ε=13.2 V. What is the energy stored in C2?
+a) 2.443E+01 μJ
-b) 2.687E+01 μJ
-c) 2.955E+01 μJ
-d) 3.251E+01 μJ
-e) 3.576E+01 μJ

5) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

-a) 0.44 J.
-b) 0.51 J.
-c) 0.58 J.
+d) 0.67 J.
-e) 0.77 J.

6) An empty parallel-plate capacitor with metal plates has an area of 2.02 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.170E+03 V?

-a) 2.450E+01 μC
+b) 2.695E+01 μC
-c) 2.965E+01 μC
-d) 3.261E+01 μC
-e) 3.587E+01 μC

7) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x2 + y2 + z2 = R2, where R=

-a) 1.107E+00 m
-b) 1.218E+00 m
-c) 1.339E+00 m
-d) 1.473E+00 m
+e) 1.621E+00 m
8)
An electron gun has parallel plates separated by 2.36 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.45 μC charge that gets between the plates?
-a) 7.033E-01 N
-b) 7.736E-01 N
-c) 8.510E-01 N
-d) 9.361E-01 N
+e) 1.030E+00 N

9) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

-a) 3.9 x 104 m/s.
-b) 5.8 x 104 m/s.
+c) 8.7 x 104 m/s.
-d) 1.3 x 105 m/s.
-e) 2 x 105 m/s.

10) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

-a) 42.21 μC.
-b) 48.54 μC.
-c) 55.82 μC.
+d) 64.19 μC.
-e) 73.82 μC.

### Key: H0

1) A 12.0 V battery can move 49,000 C of charge. How many Joules does it deliver?

+a) 5.880E+05 J
-b) 6.468E+05 J
-c) 7.115E+05 J
-d) 7.826E+05 J
-e) 8.609E+05 J
2)
Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.) The charges are q1=4 μC, q2=7 μC, q3=10 μC, and q4=12 μC. How much work was required to assemble these four charges from infinity?
-a) 1.194E+02 J
-b) 1.314E+02 J
-c) 1.445E+02 J
+d) 1.589E+02 J
-e) 1.748E+02 J

3) Two large parallel conducting plates are separated by 7.83 mm. Equal and opposite surface charges of 7.530E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 86 V?

-a) 8.793E-01 mm
+b) 1.011E+00 mm
-c) 1.163E+00 mm
-d) 1.337E+00 mm
-e) 1.538E+00 mm

4) An empty parallel-plate capacitor with metal plates has an area of 2.02 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.170E+03 V?

-a) 2.450E+01 μC
+b) 2.695E+01 μC
-c) 2.965E+01 μC
-d) 3.261E+01 μC
-e) 3.587E+01 μC
5)
What is the net capacitance if C1=4.7 μF, C2=4.82 μF, and C3=3.61 μF in the configuration shown?
-a) 5.445E+00 μF
+b) 5.990E+00 μF
-c) 6.589E+00 μF
-d) 7.247E+00 μF
-e) 7.972E+00 μF

6) The same parallel plate capacitor, with area 1.45 m2, plate separation 1.53mm, and an applied voltage of 2.55 kV. How much charge is stored?

-a) 12.23 μC.
-b) 14.07 μC.
-c) 16.18 μC.
-d) 18.61 μC.
+e) 21.4 μC.

7) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

-a) 0.91 J.
-b) 1.05 J.
-c) 1.21 J.
+d) 1.39 J.
-e) 1.6 J.

8) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the force between the plates if they are 0.7 mm apart?

-a) 1826 N.
-b) 2099 N.
+c) 2414 N.
-d) 2776 N.
-e) 3193 N.

9) How fast is a 2928 eV electron moving?

-a) 6.3 x 106 m/s.
-b) 9.5 x 106 m/s.
-c) 1.4 x 107 m/s.
-d) 2.1 x 107 m/s.
+e) 3.2 x 107 m/s.

10) What voltage is required accelerate an electron at rest to a speed of 5.6 x 104 m/s?

-a) 5.9 x 10-3 volts
+b) 8.9 x 10-3 volts
-c) 1.3 x 10-2 volts
-d) 2 x 10-2 volts
-e) 3 x 10-2 volts

#### Key: H1

1) Two large parallel conducting plates are separated by 9.71 mm. Equal and opposite surface charges of 7.550E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

-a) 7.444E-01 mm
+b) 8.561E-01 mm
-c) 9.845E-01 mm
-d) 1.132E+00 mm
-e) 1.302E+00 mm

2) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 1.08 J.
-b) 1.24 J.
-c) 1.43 J.
-d) 1.64 J.
+e) 1.89 J.

3) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

-a) 2319 N.
+b) 2667 N.
-c) 3067 N.
-d) 3527 N.
-e) 4056 N.

4) An empty parallel-plate capacitor with metal plates has an area of 1.81 m2, separated by 1.26 mm. How much charge does it store if the voltage is 4.610E+03 V?

-a) 4.005E+01 μC
-b) 4.405E+01 μC
-c) 4.846E+01 μC
-d) 5.330E+01 μC
+e) 5.864E+01 μC

5) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

-a) 1.7 x 10-1 volts
+b) 2.6 x 10-1 volts
-c) 3.8 x 10-1 volts
-d) 5.8 x 10-1 volts
-e) 8.6 x 10-1 volts

6) A 12.0 V battery can move 49,000 C of charge. How many Joules does it deliver?

+a) 5.880E+05 J
-b) 6.468E+05 J
-c) 7.115E+05 J
-d) 7.826E+05 J
-e) 8.609E+05 J
7)
What is the net capacitance if C1=4.13 μF, C2=3.56 μF, and C3=3.57 μF in the configuration shown?
+a) 5.482E+00 μF
-b) 6.030E+00 μF
-c) 6.633E+00 μF
-d) 7.296E+00 μF
-e) 8.026E+00 μF
8)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 2.617E+01 J
-b) 2.879E+01 J
-c) 3.167E+01 J
-d) 3.484E+01 J
+e) 3.832E+01 J

9) The same parallel plate capacitor, with area 0.55 m2, plate separation 0.53mm, and an applied voltage of 4.25 kV. How much charge is stored?

+a) 39.05 μC.
-b) 44.91 μC.
-c) 51.64 μC.
-d) 59.39 μC.
-e) 68.3 μC.

10) How fast is a 2648 eV electron moving?

+a) 3.1 x 107 m/s.
-b) 4.6 x 107 m/s.
-c) 6.9 x 107 m/s.
-d) 1 x 108 m/s.
-e) 1.5 x 108 m/s.

#### Key: H2

1) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

-a) 42.21 μC.
-b) 48.54 μC.
-c) 55.82 μC.
+d) 64.19 μC.
-e) 73.82 μC.

2) A 12.0 V battery can move 11,000 C of charge. How many Joules does it deliver?

-a) 9.016E+04 J
-b) 9.917E+04 J
-c) 1.091E+05 J
-d) 1.200E+05 J
+e) 1.320E+05 J
3)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 4.554E+01 J
-b) 5.009E+01 J
-c) 5.510E+01 J
+d) 6.061E+01 J
-e) 6.667E+01 J
4)
What is the net capacitance if C1=3.56 μF, C2=4.23 μF, and C3=2.61 μF in the configuration shown?
-a) 3.755E+00 μF
-b) 4.130E+00 μF
+c) 4.543E+00 μF
-d) 4.997E+00 μF
-e) 5.497E+00 μF

5) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the force between the plates if they are 0.6 mm apart?

-a) 2381 N.
-b) 2738 N.
+c) 3149 N.
-d) 3621 N.
-e) 4164 N.

6) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 1.08 J.
-b) 1.24 J.
-c) 1.43 J.
-d) 1.64 J.
+e) 1.89 J.

7) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

-a) 1.7 x 10-1 volts
+b) 2.6 x 10-1 volts
-c) 3.8 x 10-1 volts
-d) 5.8 x 10-1 volts
-e) 8.6 x 10-1 volts

8) An empty parallel-plate capacitor with metal plates has an area of 2.42 m2, separated by 1.33 mm. How much charge does it store if the voltage is 1.130E+03 V?

-a) 1.368E+01 μC
-b) 1.505E+01 μC
-c) 1.655E+01 μC
+d) 1.820E+01 μC
-e) 2.003E+01 μC

9) Two large parallel conducting plates are separated by 9.71 mm. Equal and opposite surface charges of 7.550E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

-a) 7.444E-01 mm
+b) 8.561E-01 mm
-c) 9.845E-01 mm
-d) 1.132E+00 mm
-e) 1.302E+00 mm

10) How fast is a 2928 eV electron moving?

-a) 6.3 x 106 m/s.
-b) 9.5 x 106 m/s.
-c) 1.4 x 107 m/s.
-d) 2.1 x 107 m/s.
+e) 3.2 x 107 m/s.

### Key: I0

1) Two large parallel conducting plates are separated by 7.93 mm. Equal and opposite surface charges of 7.720E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 77 V?

-a) 6.678E-01 mm
-b) 7.679E-01 mm
+c) 8.831E-01 mm
-d) 1.016E+00 mm
-e) 1.168E+00 mm

2) If a 28 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=77 V is x2 + y2 + z2 = R2, where R=

-a) 2.701E+00 m
-b) 2.971E+00 m
+c) 3.268E+00 m
-d) 3.595E+00 m
-e) 3.955E+00 m

3) A 12.0 V battery can move 29,000 C of charge. How many Joules does it deliver?

-a) 2.615E+05 J
-b) 2.876E+05 J
-c) 3.164E+05 J
+d) 3.480E+05 J
-e) 3.828E+05 J
4)
In the figure shown C1=19.0 μF, C2=2.35 μF, and C3=5.22 μF. The voltage source provides ε=6.01 V. What is the charge on C1?
-a) 2.444E+01 μC
-b) 2.689E+01 μC
-c) 2.958E+01 μC
+d) 3.253E+01 μC
-e) 3.579E+01 μC
5)
In the figure shown C1=16.7 μF, C2=2.26 μF, and C3=4.53 μF. The voltage source provides ε=10.7 V. What is the energy stored in C2?
-a) 1.292E+01 μJ
-b) 1.421E+01 μJ
-c) 1.563E+01 μJ
+d) 1.719E+01 μJ
-e) 1.891E+01 μJ

6) A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

-a) 3.2 kV/m.
-b) 3.68 kV/m.
-c) 4.24 kV/m.
+d) 4.87 kV/m.
-e) 5.6 kV/m.

7) A parallel plate capacitor has both plates with an area of 1.15 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 2.25 kV. What is the capacitance?

+a) 16.16 nF.
-b) 18.59 nF.
-c) 21.37 nF.
-d) 24.58 nF.
-e) 28.27 nF.

8) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 0.38 J.
+b) 0.43 J.
-c) 0.5 J.
-d) 0.57 J.
-e) 0.66 J.

9) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

-a) 4.4 x 10-6 volts
-b) 6.6 x 10-6 volts
-c) 9.9 x 10-6 volts
-d) 1.5 x 10-5 volts
+e) 2.2 x 10-5 volts

10) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

-a) 3.9 x 104 m/s.
-b) 5.8 x 104 m/s.
+c) 8.7 x 104 m/s.
-d) 1.3 x 105 m/s.
-e) 2 x 105 m/s.

#### Key: I1

1) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

-a) 1.7 x 10-1 volts
+b) 2.6 x 10-1 volts
-c) 3.8 x 10-1 volts
-d) 5.8 x 10-1 volts
-e) 8.6 x 10-1 volts
2)
In the figure shown C1=17.8 μF, C2=2.22 μF, and C3=5.71 μF. The voltage source provides ε=13.9 V. What is the charge on C1?
+a) 7.625E+01 μC
-b) 8.388E+01 μC
-c) 9.227E+01 μC
-d) 1.015E+02 μC
-e) 1.116E+02 μC

3) If a 19 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=73 V is x2 + y2 + z2 = R2, where R=

-a) 1.598E+00 m
-b) 1.757E+00 m
-c) 1.933E+00 m
-d) 2.127E+00 m
+e) 2.339E+00 m

4) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

-a) 2.23 J.
+b) 2.56 J.
-c) 2.94 J.
-d) 3.39 J.
-e) 3.89 J.

5) A proton is accellerated (at rest) from a plate held at 767.8 volts to a plate at zero volts. What is the final speed?

-a) 1.1 x 105 m/s.
-b) 1.7 x 105 m/s.
-c) 2.6 x 105 m/s.
+d) 3.8 x 105 m/s.
-e) 5.8 x 105 m/s.

6) A 12.0 V battery can move 27,000 C of charge. How many Joules does it deliver?

-a) 2.213E+05 J
-b) 2.434E+05 J
-c) 2.678E+05 J
-d) 2.945E+05 J
+e) 3.240E+05 J
7)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
-a) 6.750E+00 μJ
-b) 7.425E+00 μJ
+c) 8.168E+00 μJ
-d) 8.984E+00 μJ
-e) 9.883E+00 μJ

8) A parallel plate capacitor has both plates with an area of 0.55 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 4.25 kV. What is the capacitance?

-a) 6.95 nF.
-b) 7.99 nF.
+c) 9.19 nF.
-d) 10.57 nF.
-e) 12.15 nF.

9) Two large parallel conducting plates are separated by 8.13 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 92 V?

-a) 9.394E-01 mm
+b) 1.080E+00 mm
-c) 1.242E+00 mm
-d) 1.429E+00 mm
-e) 1.643E+00 mm

10) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

-a) 1.57 kV/m.
-b) 1.8 kV/m.
-c) 2.07 kV/m.
-d) 2.38 kV/m.
+e) 2.74 kV/m.

#### Key: I2

1) A 12.0 V battery can move 30,000 C of charge. How many Joules does it deliver?

-a) 3.273E+05 J
+b) 3.600E+05 J
-c) 3.960E+05 J
-d) 4.356E+05 J
-e) 4.792E+05 J

2) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?

+a) 9.521E-01 mm
-b) 1.095E+00 mm
-c) 1.259E+00 mm
-d) 1.448E+00 mm
-e) 1.665E+00 mm

3) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=

-a) 2.139E+00 m
-b) 2.353E+00 m
-c) 2.588E+00 m
-d) 2.847E+00 m
+e) 3.132E+00 m
4)
In the figure shown C1=15.4 μF, C2=2.22 μF, and C3=4.77 μF. The voltage source provides ε=6.8 V. What is the charge on C1?
-a) 2.702E+01 μC
-b) 2.972E+01 μC
+c) 3.269E+01 μC
-d) 3.596E+01 μC
-e) 3.956E+01 μC

5) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

-a) 3.9 x 104 m/s.
-b) 5.8 x 104 m/s.
+c) 8.7 x 104 m/s.
-d) 1.3 x 105 m/s.
-e) 2 x 105 m/s.

6) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?

-a) 3.2 x 103 volts
-b) 4.9 x 103 volts
-c) 7.3 x 103 volts
-d) 1.1 x 104 volts
+e) 1.6 x 104 volts
7)
In the figure shown C1=16.3 μF, C2=2.17 μF, and C3=4.67 μF. The voltage source provides ε=8.35 V. What is the energy stored in C2?
-a) 8.718E+00 μJ
-b) 9.589E+00 μJ
-c) 1.055E+01 μJ
-d) 1.160E+01 μJ
+e) 1.276E+01 μJ

8) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 0.93mm. Applied to the plates is a potential difference of 4.45 kV. What is the capacitance?

-a) 12 nF.
+b) 13.8 nF.
-c) 15.88 nF.
-d) 18.26 nF.
-e) 21 nF.

9) A 0.5 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

-a) 3.46 kV/m.
-b) 3.98 kV/m.
+c) 4.57 kV/m.
-d) 5.26 kV/m.
-e) 6.05 kV/m.

10) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

-a) 0.81 J.
-b) 0.93 J.
+c) 1.07 J.
-d) 1.23 J.
-e) 1.41 J.

### Key: J0

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.

-a) 1.544E+06 m/s
-b) 1.698E+06 m/s
-c) 1.868E+06 m/s
+d) 2.055E+06 m/s
-e) 2.260E+06 m/s

2) When a 3.63 V battery operates a 1.34 W bulb, how many electrons pass through it each second?

-a) 2.095E+18 electrons
+b) 2.304E+18 electrons
-c) 2.534E+18 electrons
-d) 2.788E+18 electrons
-e) 3.067E+18 electrons

3) A 2 C charge is separated from a 10 C charge by distance of 8 cm. What is the work done by increasing this separation to 14 cm?

-a) 8.754E-07 J
+b) 9.630E-07 J
-c) 1.059E-06 J
-d) 1.165E-06 J
-e) 1.282E-06 J
4)
In the figure shown C1=17.9 μF, C2=2.76 μF, and C3=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C1?
-a) 5.969E+01 μC
-b) 6.566E+01 μC
+c) 7.222E+01 μC
-d) 7.944E+01 μC
-e) 8.739E+01 μC

5) An empty parallel-plate capacitor with metal plates has an area of 1.73 m2, separated by 1.16 mm. How much charge does it store if the voltage is 1.130E+03 V?

-a) 1.121E+01 μC
-b) 1.233E+01 μC
-c) 1.357E+01 μC
+d) 1.492E+01 μC
-e) 1.641E+01 μC

6) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

-a) 3.28 nF.
-b) 3.77 nF.
+c) 4.34 nF.
-d) 4.99 nF.
-e) 5.74 nF.

7) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the force between the plates if they are 0.7 mm apart?

-a) 1826 N.
-b) 2099 N.
+c) 2414 N.
-d) 2776 N.
-e) 3193 N.

8) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 1.08 J.
-b) 1.24 J.
-c) 1.43 J.
-d) 1.64 J.
+e) 1.89 J.

9) What voltage is required accelerate an electron at rest to a speed of 1.5 x 103 m/s?

-a) 1.9 x 10-6 volts
-b) 2.8 x 10-6 volts
-c) 4.3 x 10-6 volts
+d) 6.4 x 10-6 volts
-e) 9.6 x 10-6 volts

10) How fast is a 2493 eV electron moving?

-a) 1.3 x 107 m/s.
-b) 2 x 107 m/s.
+c) 3 x 107 m/s.
-d) 4.4 x 107 m/s.
-e) 6.7 x 107 m/s.

#### Key: J1

1) An empty parallel-plate capacitor with metal plates has an area of 2.84 m2, separated by 1.42 mm. How much charge does it store if the voltage is 1.510E+03 V?

-a) 1.826E+01 μC
-b) 2.009E+01 μC
-c) 2.210E+01 μC
-d) 2.431E+01 μC
+e) 2.674E+01 μC
2)
In the figure shown C1=20.6 μF, C2=2.38 μF, and C3=5.66 μF. The voltage source provides ε=12.6 V. What is the charge on C1?
-a) 5.474E+01 μC
-b) 6.022E+01 μC
-c) 6.624E+01 μC
+d) 7.287E+01 μC
-e) 8.015E+01 μC

3) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?

-a) 7.397E+17 electrons
-b) 8.137E+17 electrons
-c) 8.951E+17 electrons
-d) 9.846E+17 electrons
+e) 1.083E+18 electrons

4) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.

-a) 3.288E+06 m/s
-b) 3.617E+06 m/s
+c) 3.979E+06 m/s
-d) 4.376E+06 m/s
-e) 4.814E+06 m/s

5) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.6 mm apart?

-a) 412 N.
-b) 474 N.
-c) 545 N.
-d) 626 N.
+e) 720 N.

6) A parallel plate capacitor has both plates with an area of 1.05 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 4.35 kV. What is the capacitance?

-a) 11.16 nF.
-b) 12.83 nF.
+c) 14.76 nF.
-d) 16.97 nF.
-e) 19.52 nF.

7) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?

-a) 3.2 x 103 volts
-b) 4.9 x 103 volts
-c) 7.3 x 103 volts
-d) 1.1 x 104 volts
+e) 1.6 x 104 volts

8) How fast is a 2355 eV electron moving?

-a) 1.9 x 107 m/s.
+b) 2.9 x 107 m/s.
-c) 4.3 x 107 m/s.
-d) 6.5 x 107 m/s.
-e) 9.7 x 107 m/s.

9) A 4 C charge is separated from a 10 C charge by distance of 10 cm. What is the work done by increasing this separation to 19 cm?

-a) 1.548E-06 J
+b) 1.703E-06 J
-c) 1.873E-06 J
-d) 2.061E-06 J
-e) 2.267E-06 J

10) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

+a) 1.81 J.
-b) 2.08 J.
-c) 2.39 J.
-d) 2.75 J.
-e) 3.16 J.

#### Key: J2

1) An empty parallel-plate capacitor with metal plates has an area of 2.51 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.230E+03 V?

-a) 2.351E+01 μC
-b) 2.586E+01 μC
-c) 2.844E+01 μC
-d) 3.129E+01 μC
+e) 3.442E+01 μC

2) How fast is a 2672 eV electron moving?

-a) 6.1 x 106 m/s.
-b) 9.1 x 106 m/s.
-c) 1.4 x 107 m/s.
-d) 2 x 107 m/s.
+e) 3.1 x 107 m/s.

3) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 3.55 kV. What is the capacitance?

-a) 7.16 nF.
-b) 8.24 nF.
-c) 9.47 nF.
-d) 10.9 nF.
+e) 12.53 nF.

4) When a 7.1 V battery operates a 1.8 W bulb, how many electrons pass through it each second?

-a) 1.439E+18 electrons
+b) 1.582E+18 electrons
-c) 1.741E+18 electrons
-d) 1.915E+18 electrons
-e) 2.106E+18 electrons

5) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

-a) 4.4 x 10-6 volts
-b) 6.6 x 10-6 volts
-c) 9.9 x 10-6 volts
-d) 1.5 x 10-5 volts
+e) 2.2 x 10-5 volts

6) A 2 C charge is separated from a 6 C charge by distance of 13 cm. What is the work done by increasing this separation to 16 cm?

+a) 1.556E-07 J
-b) 1.711E-07 J
-c) 1.882E-07 J
-d) 2.070E-07 J
-e) 2.277E-07 J

7) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.

+a) 5.102E+06 m/s
-b) 5.612E+06 m/s
-c) 6.173E+06 m/s
-d) 6.791E+06 m/s
-e) 7.470E+06 m/s
8)
In the figure shown C1=15.0 μF, C2=2.65 μF, and C3=5.67 μF. The voltage source provides ε=7.44 V. What is the charge on C1?
+a) 3.982E+01 μC
-b) 4.380E+01 μC
-c) 4.818E+01 μC
-d) 5.300E+01 μC
-e) 5.829E+01 μC

9) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 1473 N.
-b) 1694 N.
-c) 1948 N.
+d) 2241 N.
-e) 2577 N.

10) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

+a) 1.81 J.
-b) 2.08 J.
-c) 2.39 J.
-d) 2.75 J.
-e) 3.16 J.

### Key: K0

1) Two large parallel conducting plates are separated by 6.95 mm. Equal and opposite surface charges of 7.360E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 83 V?

-a) 6.565E-01 mm
-b) 7.550E-01 mm
-c) 8.683E-01 mm
+d) 9.985E-01 mm
-e) 1.148E+00 mm

2) A 2 C charge is separated from a 10 C charge by distance of 10 cm. What is the work done by increasing this separation to 16 cm?

-a) 6.128E-07 J
+b) 6.741E-07 J
-c) 7.415E-07 J
-d) 8.156E-07 J
-e) 8.972E-07 J

3) A 12.0 V battery can move 12,000 C of charge. How many Joules does it deliver?

-a) 1.190E+05 J
-b) 1.309E+05 J
+c) 1.440E+05 J
-d) 1.584E+05 J
-e) 1.742E+05 J
4)
In the figure shown C1=18.1 μF, C2=2.13 μF, and C3=5.48 μF. The voltage source provides ε=14.6 V. What is the energy stored in C2?
-a) 1.645E+01 μJ
-b) 1.809E+01 μJ
-c) 1.990E+01 μJ
+d) 2.189E+01 μJ
-e) 2.408E+01 μJ
5)
In the figure shown C1=18.0 μF, C2=2.88 μF, and C3=5.34 μF. The voltage source provides ε=11.9 V. What is the charge on C1?
-a) 5.045E+01 μC
-b) 5.550E+01 μC
-c) 6.105E+01 μC
+d) 6.715E+01 μC
-e) 7.387E+01 μC

6) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

-a) 3.28 nF.
-b) 3.77 nF.
+c) 4.34 nF.
-d) 4.99 nF.
-e) 5.74 nF.

7) The same parallel plate capacitor, with area 0.55 m2, plate separation 0.53mm, and an applied voltage of 4.25 kV. How much charge is stored?

+a) 39.05 μC.
-b) 44.91 μC.
-c) 51.64 μC.
-d) 59.39 μC.
-e) 68.3 μC.

8) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

-a) 1.57 kV/m.
-b) 1.8 kV/m.
-c) 2.07 kV/m.
-d) 2.38 kV/m.
+e) 2.74 kV/m.

9) What voltage is required accelerate an electron at rest to a speed of 1.5 x 103 m/s?

-a) 1.9 x 10-6 volts
-b) 2.8 x 10-6 volts
-c) 4.3 x 10-6 volts
+d) 6.4 x 10-6 volts
-e) 9.6 x 10-6 volts

10) How fast is a 2648 eV electron moving?

+a) 3.1 x 107 m/s.
-b) 4.6 x 107 m/s.
-c) 6.9 x 107 m/s.
-d) 1 x 108 m/s.
-e) 1.5 x 108 m/s.

#### Key: K1

1) The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

-a) 40.39 μC.
-b) 46.45 μC.
-c) 53.42 μC.
+d) 61.43 μC.
-e) 70.65 μC.

2) A 3 C charge is separated from a 7 C charge by distance of 10 cm. What is the work done by increasing this separation to 15 cm?

-a) 5.199E-07 J
-b) 5.719E-07 J
+c) 6.291E-07 J
-d) 6.920E-07 J
-e) 7.612E-07 J

3) A 1.4 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

-a) 0.86 kV/m.
-b) 0.99 kV/m.
-c) 1.14 kV/m.
+d) 1.31 kV/m.
-e) 1.51 kV/m.
4)
In the figure shown C1=15.7 μF, C2=2.87 μF, and C3=5.46 μF. The voltage source provides ε=5.38 V. What is the energy stored in C2?
-a) 6.890E+00 μJ
-b) 7.579E+00 μJ
-c) 8.337E+00 μJ
-d) 9.171E+00 μJ
+e) 1.009E+01 μJ

5) A parallel plate capacitor has both plates with an area of 1.05 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 4.35 kV. What is the capacitance?

-a) 11.16 nF.
-b) 12.83 nF.
+c) 14.76 nF.
-d) 16.97 nF.
-e) 19.52 nF.

6) How fast is a 2355 eV electron moving?

-a) 1.9 x 107 m/s.
+b) 2.9 x 107 m/s.
-c) 4.3 x 107 m/s.
-d) 6.5 x 107 m/s.
-e) 9.7 x 107 m/s.

7) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.280E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 70 V?

+a) 8.514E-01 mm
-b) 9.791E-01 mm
-c) 1.126E+00 mm
-d) 1.295E+00 mm
-e) 1.489E+00 mm

8) What voltage is required accelerate an electron at rest to a speed of 5.5 x 105 m/s?

-a) 2.5 x 10-1 volts
-b) 3.8 x 10-1 volts
-c) 5.7 x 10-1 volts
+d) 8.6 x 10-1 volts
-e) 1.3 x 100 volts

9) A 12.0 V battery can move 12,000 C of charge. How many Joules does it deliver?

-a) 1.190E+05 J
-b) 1.309E+05 J
+c) 1.440E+05 J
-d) 1.584E+05 J
-e) 1.742E+05 J
10)
In the figure shown C1=19.0 μF, C2=2.35 μF, and C3=5.22 μF. The voltage source provides ε=6.01 V. What is the charge on C1?
-a) 2.444E+01 μC
-b) 2.689E+01 μC
-c) 2.958E+01 μC
+d) 3.253E+01 μC
-e) 3.579E+01 μC

#### Key: K2

1) How fast is a 2928 eV electron moving?

-a) 6.3 x 106 m/s.
-b) 9.5 x 106 m/s.
-c) 1.4 x 107 m/s.
-d) 2.1 x 107 m/s.
+e) 3.2 x 107 m/s.

2) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

-a) 42.21 μC.
-b) 48.54 μC.
-c) 55.82 μC.
+d) 64.19 μC.
-e) 73.82 μC.

3) Two large parallel conducting plates are separated by 9.71 mm. Equal and opposite surface charges of 7.550E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

-a) 7.444E-01 mm
+b) 8.561E-01 mm
-c) 9.845E-01 mm
-d) 1.132E+00 mm
-e) 1.302E+00 mm

4) What voltage is required accelerate an electron at rest to a speed of 5.5 x 105 m/s?

-a) 2.5 x 10-1 volts
-b) 3.8 x 10-1 volts
-c) 5.7 x 10-1 volts
+d) 8.6 x 10-1 volts
-e) 1.3 x 100 volts

5) A 12.0 V battery can move 19,000 C of charge. How many Joules does it deliver?

-a) 1.713E+05 J
-b) 1.884E+05 J
-c) 2.073E+05 J
+d) 2.280E+05 J
-e) 2.508E+05 J

6) A 8 C charge is separated from a 12 C charge by distance of 9 cm. What is the work done by increasing this separation to 18 cm?

-a) 3.274E-06 J
-b) 3.601E-06 J
-c) 3.961E-06 J
-d) 4.358E-06 J
+e) 4.793E-06 J
7)
In the figure shown C1=16.9 μF, C2=2.3 μF, and C3=4.67 μF. The voltage source provides ε=13.4 V. What is the charge on C1?
-a) 6.011E+01 μC
+b) 6.613E+01 μC
-c) 7.274E+01 μC
-d) 8.001E+01 μC
-e) 8.801E+01 μC

8) A 0.5 Farad capacitor is charged with 1.3 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

+a) 3.71 kV/m.
-b) 4.27 kV/m.
-c) 4.91 kV/m.
-d) 5.65 kV/m.
-e) 6.5 kV/m.
9)
In the figure shown C1=16.1 μF, C2=2.14 μF, and C3=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C2?
+a) 1.199E+01 μJ
-b) 1.319E+01 μJ
-c) 1.450E+01 μJ
-d) 1.595E+01 μJ
-e) 1.755E+01 μJ

10) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 2.55 kV. What is the capacitance?

+a) 8.39 nF.
-b) 9.65 nF.
-c) 11.1 nF.
-d) 12.76 nF.
-e) 14.68 nF.

### Key: L0

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 27 V.

-a) 2.802E+06 m/s
+b) 3.082E+06 m/s
-c) 3.390E+06 m/s
-d) 3.729E+06 m/s
-e) 4.102E+06 m/s

2) When a 4.91 V battery operates a 1.43 W bulb, how many electrons pass through it each second?

-a) 1.242E+18 electrons
-b) 1.366E+18 electrons
-c) 1.502E+18 electrons
-d) 1.653E+18 electrons
+e) 1.818E+18 electrons
3)
A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What is the excess charge on the sphere?
-a) 1.388E+01 μC
-b) 1.527E+01 μC
-c) 1.680E+01 μC
-d) 1.848E+01 μC
+e) 2.033E+01 μC
4)
What is the net capacitance if C1=2.96 μF, C2=3.95 μF, and C3=3.74 μF in the configuration shown?
-a) 4.489E+00 μF
-b) 4.938E+00 μF
+c) 5.432E+00 μF
-d) 5.975E+00 μF
-e) 6.573E+00 μF
5)
In the figure shown C1=17.7 μF, C2=2.48 μF, and C3=4.68 μF. The voltage source provides ε=12.7 V. What is the energy stored in C2?
+a) 2.242E+01 μJ
-b) 2.467E+01 μJ
-c) 2.713E+01 μJ
-d) 2.985E+01 μJ
-e) 3.283E+01 μJ

6) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 2.55 kV. What is the capacitance?

+a) 8.39 nF.
-b) 9.65 nF.
-c) 11.1 nF.
-d) 12.76 nF.
-e) 14.68 nF.

7) The same parallel plate capacitor, with area 0.75 m2, plate separation 1.53mm, and an applied voltage of 5.05 kV. How much charge is stored?

-a) 16.57 μC.
-b) 19.06 μC.
+c) 21.92 μC.
-d) 25.21 μC.
-e) 28.99 μC.

8) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

-a) 0.44 J.
-b) 0.51 J.
-c) 0.58 J.
+d) 0.67 J.
-e) 0.77 J.

9) What voltage is required to stop a proton moving at a speed of 5.2 x 107 m/s?

-a) 9.4 x 106 volts
+b) 1.4 x 107 volts
-c) 2.1 x 107 volts
-d) 3.2 x 107 volts
-e) 4.8 x 107 volts

10) What voltage is required accelerate an electron at rest to a speed of 3 x 105 m/s?

-a) 1.7 x 10-1 volts
+b) 2.6 x 10-1 volts
-c) 3.8 x 10-1 volts
-d) 5.8 x 10-1 volts
-e) 8.6 x 10-1 volts

#### Key: L1

1) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

+a) 1.81 J.
-b) 2.08 J.
-c) 2.39 J.
-d) 2.75 J.
-e) 3.16 J.

2) What voltage is required accelerate an electron at rest to a speed of 5.6 x 104 m/s?

-a) 5.9 x 10-3 volts
+b) 8.9 x 10-3 volts
-c) 1.3 x 10-2 volts
-d) 2 x 10-2 volts
-e) 3 x 10-2 volts

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.

-a) 1.698E+06 m/s
-b) 1.868E+06 m/s
+c) 2.055E+06 m/s
-d) 2.260E+06 m/s
-e) 2.486E+06 m/s
4)
A Van de Graff generator has a 149 cm diameter metal sphere that produces 172 kV near its surface. What is the excess charge on the sphere?
-a) 1.071E+01 μC
-b) 1.178E+01 μC
-c) 1.296E+01 μC
+d) 1.426E+01 μC
-e) 1.568E+01 μC

5) When a 6.03 V battery operates a 1.56 W bulb, how many electrons pass through it each second?

+a) 1.615E+18 electrons
-b) 1.776E+18 electrons
-c) 1.954E+18 electrons
-d) 2.149E+18 electrons
-e) 2.364E+18 electrons

6) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

-a) 2.3 x 105 volts
+b) 3.4 x 105 volts
-c) 5.1 x 105 volts
-d) 7.7 x 105 volts
-e) 1.2 x 106 volts
7)
In the figure shown C1=18.2 μF, C2=2.44 μF, and C3=5.0 μF. The voltage source provides ε=7.78 V. What is the energy stored in C2?
-a) 1.225E+01 μJ
+b) 1.347E+01 μJ
-c) 1.482E+01 μJ
-d) 1.630E+01 μJ
-e) 1.793E+01 μJ

8) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

-a) 42.21 μC.
-b) 48.54 μC.
-c) 55.82 μC.
+d) 64.19 μC.
-e) 73.82 μC.

9) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 2.55 kV. What is the capacitance?

+a) 8.39 nF.
-b) 9.65 nF.
-c) 11.1 nF.
-d) 12.76 nF.
-e) 14.68 nF.
10)
What is the net capacitance if C1=3.25 μF, C2=4.87 μF, and C3=2.19 μF in the configuration shown?
+a) 4.139E+00 μF
-b) 4.553E+00 μF
-c) 5.008E+00 μF
-d) 5.509E+00 μF
-e) 6.060E+00 μF

#### Key: L2

1) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 3.55 kV. What is the capacitance?

-a) 7.16 nF.
-b) 8.24 nF.
-c) 9.47 nF.
-d) 10.9 nF.
+e) 12.53 nF.

2) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.

-a) 4.638E+06 m/s
+b) 5.102E+06 m/s
-c) 5.612E+06 m/s
-d) 6.173E+06 m/s
-e) 6.791E+06 m/s

3) When a 4.63 V battery operates a 2.26 W bulb, how many electrons pass through it each second?

-a) 2.770E+18 electrons
+b) 3.047E+18 electrons
-c) 3.351E+18 electrons
-d) 3.686E+18 electrons
-e) 4.055E+18 electrons

4) What voltage is required accelerate an electron at rest to a speed of 9.5 x 106 m/s?

-a) 1.1 x 102 volts
-b) 1.7 x 102 volts
+c) 2.6 x 102 volts
-d) 3.8 x 102 volts
-e) 5.8 x 102 volts

5) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

-a) 2.23 J.
+b) 2.56 J.
-c) 2.94 J.
-d) 3.39 J.
-e) 3.89 J.
6)
In the figure shown C1=19.2 μF, C2=2.71 μF, and C3=5.52 μF. The voltage source provides ε=15.0 V. What is the energy stored in C2?
-a) 2.138E+01 μJ
-b) 2.352E+01 μJ
-c) 2.587E+01 μJ
+d) 2.845E+01 μJ
-e) 3.130E+01 μJ

7) The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

-a) 23.91 μC.
-b) 27.5 μC.
-c) 31.62 μC.
+d) 36.37 μC.
-e) 41.82 μC.
8)
What is the net capacitance if C1=2.55 μF, C2=4.13 μF, and C3=2.5 μF in the configuration shown?
+a) 4.077E+00 μF
-b) 4.484E+00 μF
-c) 4.933E+00 μF
-d) 5.426E+00 μF
-e) 5.969E+00 μF
9)
A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What is the excess charge on the sphere?
-a) 1.500E+01 μC
-b) 1.650E+01 μC
-c) 1.815E+01 μC
-d) 1.997E+01 μC
+e) 2.196E+01 μC

10) What voltage is required to stop a proton moving at a speed of 7.6 x 106 m/s?

+a) 3 x 105 volts
-b) 4.5 x 105 volts
-c) 6.8 x 105 volts
-d) 1 x 106 volts
-e) 1.5 x 106 volts

### Key: M0

1)
An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 μC charge that gets between the plates?
-a) 8.430E-01 N
-b) 9.273E-01 N
+c) 1.020E+00 N
-d) 1.122E+00 N
-e) 1.234E+00 N
2)
A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What is the excess charge on the sphere?
-a) 1.388E+01 μC
-b) 1.527E+01 μC
-c) 1.680E+01 μC
-d) 1.848E+01 μC
+e) 2.033E+01 μC

3) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x2 + y2 + z2 = R2, where R=

-a) 1.107E+00 m
-b) 1.218E+00 m
-c) 1.339E+00 m
-d) 1.473E+00 m
+e) 1.621E+00 m
4)
What is the net capacitance if C1=2.96 μF, C2=3.95 μF, and C3=3.74 μF in the configuration shown?
-a) 4.489E+00 μF
-b) 4.938E+00 μF
+c) 5.432E+00 μF
-d) 5.975E+00 μF
-e) 6.573E+00 μF
5)
In the figure shown C1=19.4 μF, C2=2.49 μF, and C3=4.17 μF. The voltage source provides ε=6.35 V. What is the charge on C1?
-a) 2.602E+01 μC
-b) 2.862E+01 μC
+c) 3.148E+01 μC
-d) 3.463E+01 μC
-e) 3.809E+01 μC

6) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

-a) 1.28 J.
-b) 1.47 J.
+c) 1.69 J.
-d) 1.94 J.
-e) 2.24 J.

7) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

-a) 2319 N.
+b) 2667 N.
-c) 3067 N.
-d) 3527 N.
-e) 4056 N.

8) A 0.5 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

-a) 3.46 kV/m.
-b) 3.98 kV/m.
+c) 4.57 kV/m.
-d) 5.26 kV/m.
-e) 6.05 kV/m.

9) A proton is accellerated (at rest) from a plate held at 775.8 volts to a plate at zero volts. What is the final speed?

-a) 7.6 x 104 m/s.
-b) 1.1 x 105 m/s.
-c) 1.7 x 105 m/s.
-d) 2.6 x 105 m/s.
+e) 3.9 x 105 m/s.

10) What voltage is required to stop a proton moving at a speed of 8 x 107 m/s?

+a) 3.3 x 107 volts
-b) 5 x 107 volts
-c) 7.5 x 107 volts
-d) 1.1 x 108 volts
-e) 1.7 x 108 volts

#### Key: M1

1) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 4025 N.
+b) 4628 N.
-c) 5322 N.
-d) 6121 N.
-e) 7039 N.
2)
A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What is the excess charge on the sphere?
-a) 1.388E+01 μC
-b) 1.527E+01 μC
-c) 1.680E+01 μC
-d) 1.848E+01 μC
+e) 2.033E+01 μC
3)
In the figure shown C1=15.4 μF, C2=2.22 μF, and C3=4.77 μF. The voltage source provides ε=6.8 V. What is the charge on C1?
-a) 2.702E+01 μC
-b) 2.972E+01 μC
+c) 3.269E+01 μC
-d) 3.596E+01 μC
-e) 3.956E+01 μC
4)
An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 μC charge that gets between the plates?
-a) 8.430E-01 N
-b) 9.273E-01 N
+c) 1.020E+00 N
-d) 1.122E+00 N
-e) 1.234E+00 N
5)
What is the net capacitance if C1=3.54 μF, C2=3.53 μF, and C3=3.65 μF in the configuration shown?
-a) 3.700E+00 μF
-b) 4.070E+00 μF
-c) 4.477E+00 μF
-d) 4.925E+00 μF
+e) 5.417E+00 μF

6) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 1.08 J.
-b) 1.24 J.
-c) 1.43 J.
-d) 1.64 J.
+e) 1.89 J.

7) A 0.8 Farad capacitor is charged with 1.7 Coulombs. What is the value of the electric field if the plates are 0.5 mm apart?

-a) 2.43 kV/m.
-b) 2.79 kV/m.
-c) 3.21 kV/m.
-d) 3.7 kV/m.
+e) 4.25 kV/m.

8) If a 21 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=94 V is x2 + y2 + z2 = R2, where R=

-a) 1.371E+00 m
-b) 1.509E+00 m
-c) 1.659E+00 m
-d) 1.825E+00 m
+e) 2.008E+00 m

9) A proton is accellerated (at rest) from a plate held at 729.8 volts to a plate at zero volts. What is the final speed?

-a) 1.7 x 105 m/s.
-b) 2.5 x 105 m/s.
+c) 3.7 x 105 m/s.
-d) 5.6 x 105 m/s.
-e) 8.4 x 105 m/s.

10) What voltage is required to stop a proton moving at a speed of 1.6 x 104 m/s?

-a) 4 x 10-1 volts
-b) 5.9 x 10-1 volts
-c) 8.9 x 10-1 volts
+d) 1.3 x 100 volts
-e) 2 x 100 volts

#### Key: M2

1) What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

-a) 3.5 x 10-2 volts
-b) 5.3 x 10-2 volts
+c) 7.9 x 10-2 volts
-d) 1.2 x 10-1 volts
-e) 1.8 x 10-1 volts
2)
A Van de Graff generator has a 124 cm diameter metal sphere that produces 270 kV near its surface. What is the excess charge on the sphere?
-a) 1.539E+01 μC
-b) 1.693E+01 μC
+c) 1.863E+01 μC
-d) 2.049E+01 μC
-e) 2.254E+01 μC

3) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

-a) 1.28 J.
-b) 1.47 J.
+c) 1.69 J.
-d) 1.94 J.
-e) 2.24 J.
4)
What is the net capacitance if C1=4.75 μF, C2=2.77 μF, and C3=2.47 μF in the configuration shown?
+a) 4.220E+00 μF
-b) 4.642E+00 μF
-c) 5.106E+00 μF
-d) 5.616E+00 μF
-e) 6.178E+00 μF

5) If a 24 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=97 V is x2 + y2 + z2 = R2, where R=

-a) 1.838E+00 m
-b) 2.022E+00 m
+c) 2.224E+00 m
-d) 2.446E+00 m
-e) 2.691E+00 m

6) A proton is accellerated (at rest) from a plate held at 729.8 volts to a plate at zero volts. What is the final speed?

-a) 1.7 x 105 m/s.
-b) 2.5 x 105 m/s.
+c) 3.7 x 105 m/s.
-d) 5.6 x 105 m/s.
-e) 8.4 x 105 m/s.
7)
In the figure shown C1=17.9 μF, C2=2.76 μF, and C3=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C1?
-a) 5.969E+01 μC
-b) 6.566E+01 μC
+c) 7.222E+01 μC
-d) 7.944E+01 μC
-e) 8.739E+01 μC

8) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

-a) 1.91 kV/m.
-b) 2.19 kV/m.
-c) 2.52 kV/m.
-d) 2.9 kV/m.
+e) 3.33 kV/m.
9)
An electron gun has parallel plates separated by 5.02 cm and gives electrons 16 keV of energy. What force would the field between the plates exert on a 0.609 μC charge that gets between the plates?
-a) 1.604E-01 N
-b) 1.765E-01 N
+c) 1.941E-01 N
-d) 2.135E-01 N
-e) 2.349E-01 N

10) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

-a) 2319 N.
+b) 2667 N.
-c) 3067 N.
-d) 3527 N.
-e) 4056 N.

### Key: N0

1) Assume that a 29 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (6 cm, 0°) and P2 is at (12 cm, 77°).

-a) 1.483E+03 V
-b) 1.632E+03 V
-c) 1.795E+03 V
-d) 1.975E+03 V
+e) 2.172E+03 V

2) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.

-a) 3.288E+06 m/s
-b) 3.617E+06 m/s
+c) 3.979E+06 m/s
-d) 4.376E+06 m/s
-e) 4.814E+06 m/s

3) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=66 V is x2 + y2 + z2 = R2, where R=

-a) 2.139E+00 m
-b) 2.353E+00 m
-c) 2.588E+00 m
-d) 2.847E+00 m
+e) 3.132E+00 m
4)
In the figure shown C1=16.9 μF, C2=2.86 μF, and C3=5.1 μF. The voltage source provides ε=9.98 V. What is the energy stored in C2?
-a) 1.764E+01 μJ
+b) 1.940E+01 μJ
-c) 2.134E+01 μJ
-d) 2.348E+01 μJ
-e) 2.583E+01 μJ
5)
In the figure shown C1=19.2 μF, C2=2.86 μF, and C3=5.03 μF. The voltage source provides ε=9.46 V. What is the charge on C1?
-a) 4.809E+01 μC
+b) 5.290E+01 μC
-c) 5.819E+01 μC
-d) 6.401E+01 μC
-e) 7.041E+01 μC

6) The same parallel plate capacitor, with area 0.75 m2, plate separation 0.53mm, and an applied voltage of 3.55 kV. How much charge is stored?

-a) 29.25 μC.
-b) 33.63 μC.
-c) 38.68 μC.
+d) 44.48 μC.
-e) 51.15 μC.

7) A parallel plate capacitor has both plates with an area of 1.35 m2. The separation between the plates is 1.23mm. Applied to the plates is a potential difference of 2.65 kV. What is the capacitance?

-a) 7.35 nF.
-b) 8.45 nF.
+c) 9.72 nF.
-d) 11.18 nF.
-e) 12.85 nF.

8) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 0.38 J.
+b) 0.43 J.
-c) 0.5 J.
-d) 0.57 J.
-e) 0.66 J.

9) A proton is accellerated (at rest) from a plate held at 767.8 volts to a plate at zero volts. What is the final speed?

-a) 1.1 x 105 m/s.
-b) 1.7 x 105 m/s.
-c) 2.6 x 105 m/s.
+d) 3.8 x 105 m/s.
-e) 5.8 x 105 m/s.

10) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?

+a) 3.4 x 101 volts
-b) 5.1 x 101 volts
-c) 7.7 x 101 volts
-d) 1.2 x 102 volts
-e) 1.7 x 102 volts

#### Key: N1

1) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?

+a) 3.4 x 101 volts
-b) 5.1 x 101 volts
-c) 7.7 x 101 volts
-d) 1.2 x 102 volts
-e) 1.7 x 102 volts

2) A parallel plate capacitor has both plates with an area of 1.05 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 4.35 kV. What is the capacitance?

-a) 11.16 nF.
-b) 12.83 nF.
+c) 14.76 nF.
-d) 16.97 nF.
-e) 19.52 nF.

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.

-a) 3.288E+06 m/s
-b) 3.617E+06 m/s
+c) 3.979E+06 m/s
-d) 4.376E+06 m/s
-e) 4.814E+06 m/s

4) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=43 V is x2 + y2 + z2 = R2, where R=

+a) 2.299E+00 m
-b) 2.529E+00 m
-c) 2.782E+00 m
-d) 3.060E+00 m
-e) 3.366E+00 m
5)
In the figure shown C1=17.9 μF, C2=2.76 μF, and C3=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C1?
-a) 5.969E+01 μC
-b) 6.566E+01 μC
+c) 7.222E+01 μC
-d) 7.944E+01 μC
-e) 8.739E+01 μC

6) Assume that a 25 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (5 cm, 0°) and P2 is at (13 cm, 70°).

-a) 2.285E+03 V
-b) 2.514E+03 V
+c) 2.765E+03 V
-d) 3.042E+03 V
-e) 3.346E+03 V
7)
In the figure shown C1=15.7 μF, C2=2.87 μF, and C3=5.46 μF. The voltage source provides ε=5.38 V. What is the energy stored in C2?
-a) 6.890E+00 μJ
-b) 7.579E+00 μJ
-c) 8.337E+00 μJ
-d) 9.171E+00 μJ
+e) 1.009E+01 μJ

8) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

-a) 2.23 J.
+b) 2.56 J.
-c) 2.94 J.
-d) 3.39 J.
-e) 3.89 J.

9) A proton is accellerated (at rest) from a plate held at 4.7 volts to a plate at zero volts. What is the final speed?

-a) 5.9 x 103 m/s.
-b) 8.9 x 103 m/s.
-c) 1.3 x 104 m/s.
-d) 2 x 104 m/s.
+e) 3 x 104 m/s.

10) The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

-a) 40.39 μC.
-b) 46.45 μC.
-c) 53.42 μC.
+d) 61.43 μC.
-e) 70.65 μC.

#### Key: N2

1)
In the figure shown C1=19.0 μF, C2=2.35 μF, and C3=5.22 μF. The voltage source provides ε=6.01 V. What is the charge on C1?
-a) 2.444E+01 μC
-b) 2.689E+01 μC
-c) 2.958E+01 μC
+d) 3.253E+01 μC
-e) 3.579E+01 μC

2) Calculate the final speed of a free electron accelerated from rest through a potential difference of 53 V.

-a) 3.244E+06 m/s
-b) 3.568E+06 m/s
-c) 3.925E+06 m/s
+d) 4.318E+06 m/s
-e) 4.750E+06 m/s

3) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (7 cm, 0°) and P2 is at (16 cm, 11°).

-a) 3.581E+02 V
-b) 3.939E+02 V
+c) 4.333E+02 V
-d) 4.767E+02 V
-e) 5.243E+02 V

4) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

-a) 0.81 J.
-b) 0.93 J.
+c) 1.07 J.
-d) 1.23 J.
-e) 1.41 J.

5) The same parallel plate capacitor, with area 0.55 m2, plate separation 0.53mm, and an applied voltage of 4.25 kV. How much charge is stored?

+a) 39.05 μC.
-b) 44.91 μC.
-c) 51.64 μC.
-d) 59.39 μC.
-e) 68.3 μC.

6) A parallel plate capacitor has both plates with an area of 1.15 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 2.25 kV. What is the capacitance?

+a) 16.16 nF.
-b) 18.59 nF.
-c) 21.37 nF.
-d) 24.58 nF.
-e) 28.27 nF.
7)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
-a) 6.750E+00 μJ
-b) 7.425E+00 μJ
+c) 8.168E+00 μJ
-d) 8.984E+00 μJ
-e) 9.883E+00 μJ

8) A proton is accelerated (at rest) from a plate held at 333.6 volts to a plate at zero volts. What is the final speed?

-a) 1.1 x 105 m/s.
-b) 1.7 x 105 m/s.
+c) 2.5 x 105 m/s.
-d) 3.8 x 105 m/s.
-e) 5.7 x 105 m/s.

9) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x2 + y2 + z2 = R2, where R=

-a) 5.169E+00 m
-b) 5.686E+00 m
-c) 6.255E+00 m
-d) 6.880E+00 m
+e) 7.568E+00 m

10) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

-a) 2.3 x 105 volts
+b) 3.4 x 105 volts
-c) 5.1 x 105 volts
-d) 7.7 x 105 volts
-e) 1.2 x 106 volts

### Key: O0

1) When a 6.24 V battery operates a 2.1 W bulb, how many electrons pass through it each second?

-a) 1.435E+18 electrons
-b) 1.578E+18 electrons
-c) 1.736E+18 electrons
-d) 1.910E+18 electrons
+e) 2.101E+18 electrons

2) A 12.0 V battery can move 26,000 C of charge. How many Joules does it deliver?

-a) 2.836E+05 J
+b) 3.120E+05 J
-c) 3.432E+05 J
-d) 3.775E+05 J
-e) 4.153E+05 J

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.

+a) 5.102E+06 m/s
-b) 5.612E+06 m/s
-c) 6.173E+06 m/s
-d) 6.791E+06 m/s
-e) 7.470E+06 m/s
4)
In the figure shown C1=20.6 μF, C2=2.38 μF, and C3=5.66 μF. The voltage source provides ε=12.6 V. What is the charge on C1?
-a) 5.474E+01 μC
-b) 6.022E+01 μC
-c) 6.624E+01 μC
+d) 7.287E+01 μC
-e) 8.015E+01 μC

5) An empty parallel-plate capacitor with metal plates has an area of 2.82 m2, separated by 1.29 mm. How much charge does it store if the voltage is 7.420E+03 V?

-a) 1.187E+02 μC
-b) 1.306E+02 μC
+c) 1.436E+02 μC
-d) 1.580E+02 μC
-e) 1.738E+02 μC

6) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 0.38 J.
+b) 0.43 J.
-c) 0.5 J.
-d) 0.57 J.
-e) 0.66 J.

7) The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

-a) 40.39 μC.
-b) 46.45 μC.
-c) 53.42 μC.
+d) 61.43 μC.
-e) 70.65 μC.

8) A parallel plate capacitor has both plates with an area of 1.05 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 4.35 kV. What is the capacitance?

-a) 11.16 nF.
-b) 12.83 nF.
+c) 14.76 nF.
-d) 16.97 nF.
-e) 19.52 nF.

9) What voltage is required to stop a proton moving at a speed of 1.6 x 104 m/s?

-a) 4 x 10-1 volts
-b) 5.9 x 10-1 volts
-c) 8.9 x 10-1 volts
+d) 1.3 x 100 volts
-e) 2 x 100 volts

10) How fast is a 2493 eV electron moving?

-a) 1.3 x 107 m/s.
-b) 2 x 107 m/s.
+c) 3 x 107 m/s.
-d) 4.4 x 107 m/s.
-e) 6.7 x 107 m/s.

#### Key: O1

1) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

-a) 3.28 nF.
-b) 3.77 nF.
+c) 4.34 nF.
-d) 4.99 nF.
-e) 5.74 nF.

2) How fast is a 2648 eV electron moving?

+a) 3.1 x 107 m/s.
-b) 4.6 x 107 m/s.
-c) 6.9 x 107 m/s.
-d) 1 x 108 m/s.
-e) 1.5 x 108 m/s.

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 83 V.

-a) 4.466E+06 m/s
-b) 4.912E+06 m/s
+c) 5.403E+06 m/s
-d) 5.944E+06 m/s
-e) 6.538E+06 m/s

4) What voltage is required to stop a proton moving at a speed of 8 x 107 m/s?

+a) 3.3 x 107 volts
-b) 5 x 107 volts
-c) 7.5 x 107 volts
-d) 1.1 x 108 volts
-e) 1.7 x 108 volts
5)
In the figure shown C1=16.9 μF, C2=2.3 μF, and C3=4.67 μF. The voltage source provides ε=13.4 V. What is the charge on C1?
-a) 6.011E+01 μC
+b) 6.613E+01 μC
-c) 7.274E+01 μC
-d) 8.001E+01 μC
-e) 8.801E+01 μC

6) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

-a) 42.21 μC.
-b) 48.54 μC.
-c) 55.82 μC.
+d) 64.19 μC.
-e) 73.82 μC.

7) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?

-a) 3.278E+05 J
-b) 3.606E+05 J
-c) 3.967E+05 J
-d) 4.364E+05 J
+e) 4.800E+05 J

8) When a 1.95 V battery operates a 2.8 W bulb, how many electrons pass through it each second?

-a) 7.407E+18 electrons
-b) 8.147E+18 electrons
+c) 8.962E+18 electrons
-d) 9.858E+18 electrons
-e) 1.084E+19 electrons

9) An empty parallel-plate capacitor with metal plates has an area of 2.16 m2, separated by 1.12 mm. How much charge does it store if the voltage is 1.530E+03 V?

-a) 2.375E+01 μC
+b) 2.613E+01 μC
-c) 2.874E+01 μC
-d) 3.161E+01 μC
-e) 3.477E+01 μC

10) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

+a) 1.81 J.
-b) 2.08 J.
-c) 2.39 J.
-d) 2.75 J.
-e) 3.16 J.

#### Key: O2

1) A parallel plate capacitor has both plates with an area of 1.15 m2. The separation between the plates is 0.63mm. Applied to the plates is a potential difference of 2.25 kV. What is the capacitance?

+a) 16.16 nF.
-b) 18.59 nF.
-c) 21.37 nF.
-d) 24.58 nF.
-e) 28.27 nF.
2)
In the figure shown C1=19.9 μF, C2=2.25 μF, and C3=4.75 μF. The voltage source provides ε=6.93 V. What is the charge on C1?
-a) 2.451E+01 μC
-b) 2.696E+01 μC
-c) 2.966E+01 μC
-d) 3.262E+01 μC
+e) 3.589E+01 μC

3) The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

-a) 23.91 μC.
-b) 27.5 μC.
-c) 31.62 μC.
+d) 36.37 μC.
-e) 41.82 μC.

4) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?

-a) 1.967E+05 J
-b) 2.164E+05 J
-c) 2.380E+05 J
-d) 2.618E+05 J
+e) 2.880E+05 J

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 46 V.

-a) 3.022E+06 m/s
-b) 3.324E+06 m/s
-c) 3.657E+06 m/s
+d) 4.023E+06 m/s
-e) 4.425E+06 m/s

6) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

+a) 1.81 J.
-b) 2.08 J.
-c) 2.39 J.
-d) 2.75 J.
-e) 3.16 J.

7) How fast is a 2952 eV electron moving?

-a) 6.4 x 106 m/s.
-b) 9.5 x 106 m/s.
-c) 1.4 x 107 m/s.
-d) 2.1 x 107 m/s.
+e) 3.2 x 107 m/s.

8) What voltage is required to stop a proton moving at a speed of 4.2 x 103 m/s?

-a) 6.1 x 10-2 volts
+b) 9.2 x 10-2 volts
-c) 1.4 x 10-1 volts
-d) 2.1 x 10-1 volts
-e) 3.1 x 10-1 volts

9) An empty parallel-plate capacitor with metal plates has an area of 2.78 m2, separated by 1.16 mm. How much charge does it store if the voltage is 8.980E+03 V?

-a) 1.432E+02 μC
-b) 1.575E+02 μC
-c) 1.732E+02 μC
+d) 1.906E+02 μC
-e) 2.096E+02 μC

10) When a 2.59 V battery operates a 2.89 W bulb, how many electrons pass through it each second?

-a) 5.756E+18 electrons
-b) 6.331E+18 electrons
+c) 6.964E+18 electrons
-d) 7.661E+18 electrons
-e) 8.427E+18 electrons

### Key: P0

1)
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.39 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.56 cm, y=2.19 cm)? Note that following the textbook's example, the y-value of the field point at 2.19 cm matches the disance of the positive charge above the x-axis.
-a) 3.852E+02 V
-b) 4.238E+02 V
+c) 4.661E+02 V
-d) 5.127E+02 V
-e) 5.640E+02 V
2)
An electron gun has parallel plates separated by 5.38 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.427 μC charge that gets between the plates?
-a) 3.542E-01 N
-b) 3.896E-01 N
+c) 4.286E-01 N
-d) 4.714E-01 N
-e) 5.186E-01 N
3)
A Van de Graff generator has a 76 cm diameter metal sphere that produces 193 kV near its surface. What is the excess charge on the sphere?
-a) 7.418E+00 μC
+b) 8.160E+00 μC
-c) 8.976E+00 μC
-d) 9.874E+00 μC
-e) 1.086E+01 μC
4)
In the figure shown C1=19.6 μF, C2=2.15 μF, and C3=5.36 μF. The voltage source provides ε=11.6 V. What is the charge on C1?
+a) 6.298E+01 μC
-b) 6.928E+01 μC
-c) 7.621E+01 μC
-d) 8.383E+01 μC
-e) 9.221E+01 μC
5)
In the figure shown C1=15.7 μF, C2=2.87 μF, and C3=5.46 μF. The voltage source provides ε=5.38 V. What is the energy stored in C2?
-a) 6.890E+00 μJ
-b) 7.579E+00 μJ
-c) 8.337E+00 μJ
-d) 9.171E+00 μJ
+e) 1.009E+01 μJ

6) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

-a) 2.23 J.
+b) 2.56 J.
-c) 2.94 J.
-d) 3.39 J.
-e) 3.89 J.

7) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

-a) 3180 N.
+b) 3657 N.
-c) 4206 N.
-d) 4837 N.
-e) 5562 N.

8) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

-a) 1.57 kV/m.
-b) 1.8 kV/m.
-c) 2.07 kV/m.
-d) 2.38 kV/m.
+e) 2.74 kV/m.

9) A proton is accellerated (at rest) from a plate held at 318.6 volts to a plate at zero volts. What is the final speed?

-a) 1.6 x 105 m/s.
+b) 2.5 x 105 m/s.
-c) 3.7 x 105 m/s.
-d) 5.6 x 105 m/s.
-e) 8.3 x 105 m/s.

10) What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

-a) 3.5 x 10-2 volts
-b) 5.3 x 10-2 volts
+c) 7.9 x 10-2 volts
-d) 1.2 x 10-1 volts
-e) 1.8 x 10-1 volts

#### Key: P1

1) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

-a) 2.3 x 105 volts
+b) 3.4 x 105 volts
-c) 5.1 x 105 volts
-d) 7.7 x 105 volts
-e) 1.2 x 106 volts

2) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

-a) 2319 N.
+b) 2667 N.
-c) 3067 N.
-d) 3527 N.
-e) 4056 N.

3) A proton is accellerated (at rest) from a plate held at 767.8 volts to a plate at zero volts. What is the final speed?

-a) 1.1 x 105 m/s.
-b) 1.7 x 105 m/s.
-c) 2.6 x 105 m/s.
+d) 3.8 x 105 m/s.
-e) 5.8 x 105 m/s.
4)
A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What is the excess charge on the sphere?
-a) 1.032E+01 μC
-b) 1.135E+01 μC
+c) 1.249E+01 μC
-d) 1.374E+01 μC
-e) 1.511E+01 μC

5) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

-a) 1.91 kV/m.
-b) 2.19 kV/m.
-c) 2.52 kV/m.
-d) 2.9 kV/m.
+e) 3.33 kV/m.
6)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.
-a) 5.134E+02 V
-b) 5.648E+02 V
-c) 6.212E+02 V
-d) 6.834E+02 V
+e) 7.517E+02 V
7)
In the figure shown C1=19.2 μF, C2=2.24 μF, and C3=4.93 μF. The voltage source provides ε=11.7 V. What is the energy stored in C2?
-a) 1.303E+01 μJ
-b) 1.434E+01 μJ
-c) 1.577E+01 μJ
-d) 1.735E+01 μJ
+e) 1.908E+01 μJ
8)
In the figure shown C1=18.0 μF, C2=2.88 μF, and C3=5.34 μF. The voltage source provides ε=11.9 V. What is the charge on C1?
-a) 5.045E+01 μC
-b) 5.550E+01 μC
-c) 6.105E+01 μC
+d) 6.715E+01 μC
-e) 7.387E+01 μC
9)
An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 μC charge that gets between the plates?
-a) 3.977E-01 N
-b) 4.374E-01 N
-c) 4.812E-01 N
+d) 5.293E-01 N
-e) 5.822E-01 N

10) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

-a) 2.23 J.
+b) 2.56 J.
-c) 2.94 J.
-d) 3.39 J.
-e) 3.89 J.

#### Key: P2

1) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

-a) 0.81 J.
-b) 0.93 J.
+c) 1.07 J.
-d) 1.23 J.
-e) 1.41 J.

2) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 4025 N.
+b) 4628 N.
-c) 5322 N.
-d) 6121 N.
-e) 7039 N.
3)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.
-a) 5.134E+02 V
-b) 5.648E+02 V
-c) 6.212E+02 V
-d) 6.834E+02 V
+e) 7.517E+02 V
4)
In the figure shown C1=18.1 μF, C2=2.13 μF, and C3=5.48 μF. The voltage source provides ε=14.6 V. What is the energy stored in C2?
-a) 1.645E+01 μJ
-b) 1.809E+01 μJ
-c) 1.990E+01 μJ
+d) 2.189E+01 μJ
-e) 2.408E+01 μJ
5)
An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 μC charge that gets between the plates?
-a) 8.206E-01 N
+b) 9.027E-01 N
-c) 9.930E-01 N
-d) 1.092E+00 N
-e) 1.201E+00 N

6) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

-a) 1.57 kV/m.
-b) 1.8 kV/m.
-c) 2.07 kV/m.
-d) 2.38 kV/m.
+e) 2.74 kV/m.
7)
In the figure shown C1=17.8 μF, C2=2.22 μF, and C3=5.71 μF. The voltage source provides ε=13.9 V. What is the charge on C1?
+a) 7.625E+01 μC
-b) 8.388E+01 μC
-c) 9.227E+01 μC
-d) 1.015E+02 μC
-e) 1.116E+02 μC
8)
A Van de Graff generator has a 119 cm diameter metal sphere that produces 248 kV near its surface. What is the excess charge on the sphere?
-a) 1.234E+01 μC
-b) 1.357E+01 μC
-c) 1.493E+01 μC
+d) 1.642E+01 μC
-e) 1.806E+01 μC

9) A proton is accellerated (at rest) from a plate held at 318.6 volts to a plate at zero volts. What is the final speed?

-a) 1.6 x 105 m/s.
+b) 2.5 x 105 m/s.
-c) 3.7 x 105 m/s.
-d) 5.6 x 105 m/s.
-e) 8.3 x 105 m/s.

10) What voltage is required to stop a proton moving at a speed of 7.6 x 106 m/s?

+a) 3 x 105 volts
-b) 4.5 x 105 volts
-c) 6.8 x 105 volts
-d) 1 x 106 volts
-e) 1.5 x 106 volts

### Key: Q0

1)
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.51 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.
-a) 5.261E+02 V
-b) 5.787E+02 V
+c) 6.365E+02 V
-d) 7.002E+02 V
-e) 7.702E+02 V

2) A 8 C charge is separated from a 13 C charge by distance of 7 cm. What is the work done by increasing this separation to 13 cm?

-a) 4.209E-06 J
-b) 4.630E-06 J
-c) 5.093E-06 J
-d) 5.603E-06 J
+e) 6.163E-06 J

3) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (16 cm, 71°).

-a) 1.969E+02 V
-b) 2.166E+02 V
-c) 2.383E+02 V
+d) 2.621E+02 V
-e) 2.884E+02 V

4) An empty parallel-plate capacitor with metal plates has an area of 2.66 m2, separated by 1.18 mm. How much charge does it store if the voltage is 6.170E+03 V?

+a) 1.231E+02 μC
-b) 1.355E+02 μC
-c) 1.490E+02 μC
-d) 1.639E+02 μC
-e) 1.803E+02 μC
5)
In the figure shown C1=16.1 μF, C2=2.14 μF, and C3=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C2?
+a) 1.199E+01 μJ
-b) 1.319E+01 μJ
-c) 1.450E+01 μJ
-d) 1.595E+01 μJ
-e) 1.755E+01 μJ

6) A 0.5 Farad capacitor is charged with 1.3 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

+a) 3.71 kV/m.
-b) 4.27 kV/m.
-c) 4.91 kV/m.
-d) 5.65 kV/m.
-e) 6.5 kV/m.

7) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

-a) 0.44 J.
-b) 0.51 J.
-c) 0.58 J.
+d) 0.67 J.
-e) 0.77 J.

8) The same parallel plate capacitor, with area 1.35 m2, plate separation 1.23mm, and an applied voltage of 2.65 kV. How much charge is stored?

-a) 16.93 μC.
-b) 19.47 μC.
-c) 22.39 μC.
+d) 25.75 μC.
-e) 29.62 μC.

9) How fast is a 2672 eV electron moving?

-a) 6.1 x 106 m/s.
-b) 9.1 x 106 m/s.
-c) 1.4 x 107 m/s.
-d) 2 x 107 m/s.
+e) 3.1 x 107 m/s.

10) A proton is accellerated (at rest) from a plate held at 775.8 volts to a plate at zero volts. What is the final speed?

-a) 7.6 x 104 m/s.
-b) 1.1 x 105 m/s.
-c) 1.7 x 105 m/s.
-d) 2.6 x 105 m/s.
+e) 3.9 x 105 m/s.

#### Key: Q1

1) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 1.08 J.
-b) 1.24 J.
-c) 1.43 J.
-d) 1.64 J.
+e) 1.89 J.

2) A 7 C charge is separated from a 15 C charge by distance of 14 cm. What is the work done by increasing this separation to 20 cm?

-a) 1.519E-06 J
-b) 1.671E-06 J
-c) 1.838E-06 J
+d) 2.022E-06 J
-e) 2.224E-06 J

3) Assume that a 29 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (6 cm, 0°) and P2 is at (12 cm, 77°).

-a) 1.483E+03 V
-b) 1.632E+03 V
-c) 1.795E+03 V
-d) 1.975E+03 V
+e) 2.172E+03 V

4) How fast is a 2758 eV electron moving?

-a) 9.2 x 106 m/s.
-b) 1.4 x 107 m/s.
-c) 2.1 x 107 m/s.
+d) 3.1 x 107 m/s.
-e) 4.7 x 107 m/s.
5)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
-a) 6.750E+00 μJ
-b) 7.425E+00 μJ
+c) 8.168E+00 μJ
-d) 8.984E+00 μJ
-e) 9.883E+00 μJ

6) A 1.4 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

-a) 0.86 kV/m.
-b) 0.99 kV/m.
-c) 1.14 kV/m.
+d) 1.31 kV/m.
-e) 1.51 kV/m.

7) The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

-a) 23.91 μC.
-b) 27.5 μC.
-c) 31.62 μC.
+d) 36.37 μC.
-e) 41.82 μC.

8) A proton is accellerated (at rest) from a plate held at 4.7 volts to a plate at zero volts. What is the final speed?

-a) 5.9 x 103 m/s.
-b) 8.9 x 103 m/s.
-c) 1.3 x 104 m/s.
-d) 2 x 104 m/s.
+e) 3 x 104 m/s.

9) An empty parallel-plate capacitor with metal plates has an area of 1.94 m2, separated by 1.36 mm. How much charge does it store if the voltage is 8.530E+03 V?

-a) 7.359E+01 μC
-b) 8.094E+01 μC
-c) 8.904E+01 μC
-d) 9.794E+01 μC
+e) 1.077E+02 μC
10)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.31 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.47 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
+a) 8.672E+02 V
-b) 9.539E+02 V
-c) 1.049E+03 V
-d) 1.154E+03 V
-e) 1.270E+03 V

#### Key: Q2

1) An empty parallel-plate capacitor with metal plates has an area of 2.78 m2, separated by 1.16 mm. How much charge does it store if the voltage is 8.980E+03 V?

-a) 1.432E+02 μC
-b) 1.575E+02 μC
-c) 1.732E+02 μC
+d) 1.906E+02 μC
-e) 2.096E+02 μC

2) A 7 C charge is separated from a 12 C charge by distance of 11 cm. What is the work done by increasing this separation to 19 cm?

+a) 2.890E-06 J
-b) 3.179E-06 J
-c) 3.497E-06 J
-d) 3.846E-06 J
-e) 4.231E-06 J

3) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

-a) 0.91 J.
-b) 1.05 J.
-c) 1.21 J.
+d) 1.39 J.
-e) 1.6 J.

4) Assume that a 25 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (5 cm, 0°) and P2 is at (13 cm, 70°).

-a) 2.285E+03 V
-b) 2.514E+03 V
+c) 2.765E+03 V
-d) 3.042E+03 V
-e) 3.346E+03 V
5)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
-a) 6.750E+00 μJ
-b) 7.425E+00 μJ
+c) 8.168E+00 μJ
-d) 8.984E+00 μJ
-e) 9.883E+00 μJ
6)
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.33 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
-a) 4.324E+02 V
-b) 4.757E+02 V
+c) 5.232E+02 V
-d) 5.755E+02 V
-e) 6.331E+02 V

7) A 0.9 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

-a) 2.68 kV/m.
-b) 3.08 kV/m.
-c) 3.54 kV/m.
+d) 4.07 kV/m.
-e) 4.69 kV/m.

8) How fast is a 2355 eV electron moving?

-a) 1.9 x 107 m/s.
+b) 2.9 x 107 m/s.
-c) 4.3 x 107 m/s.
-d) 6.5 x 107 m/s.
-e) 9.7 x 107 m/s.

9) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

-a) 3.9 x 104 m/s.
-b) 5.8 x 104 m/s.
+c) 8.7 x 104 m/s.
-d) 1.3 x 105 m/s.
-e) 2 x 105 m/s.

10) The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

-a) 40.39 μC.
-b) 46.45 μC.
-c) 53.42 μC.
+d) 61.43 μC.
-e) 70.65 μC.

### Key: R0

1)
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.33 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
-a) 4.324E+02 V
-b) 4.757E+02 V
+c) 5.232E+02 V
-d) 5.755E+02 V
-e) 6.331E+02 V

2) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (7 cm, 0°) and P2 is at (16 cm, 11°).

-a) 3.581E+02 V
-b) 3.939E+02 V
+c) 4.333E+02 V
-d) 4.767E+02 V
-e) 5.243E+02 V

3) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?

-a) 3.278E+05 J
-b) 3.606E+05 J
-c) 3.967E+05 J
-d) 4.364E+05 J
+e) 4.800E+05 J

4) An empty parallel-plate capacitor with metal plates has an area of 2.16 m2, separated by 1.12 mm. How much charge does it store if the voltage is 1.530E+03 V?

-a) 2.375E+01 μC
+b) 2.613E+01 μC
-c) 2.874E+01 μC
-d) 3.161E+01 μC
-e) 3.477E+01 μC
5)
What is the net capacitance if C1=2.96 μF, C2=3.95 μF, and C3=3.74 μF in the configuration shown?
-a) 4.489E+00 μF
-b) 4.938E+00 μF
+c) 5.432E+00 μF
-d) 5.975E+00 μF
-e) 6.573E+00 μF

6) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.6 mm apart?

-a) 412 N.
-b) 474 N.
-c) 545 N.
-d) 626 N.
+e) 720 N.

7) The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

-a) 23.91 μC.
-b) 27.5 μC.
-c) 31.62 μC.
+d) 36.37 μC.
-e) 41.82 μC.

8) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 1.08 J.
-b) 1.24 J.
-c) 1.43 J.
-d) 1.64 J.
+e) 1.89 J.

9) How fast is a 2672 eV electron moving?

-a) 6.1 x 106 m/s.
-b) 9.1 x 106 m/s.
-c) 1.4 x 107 m/s.
-d) 2 x 107 m/s.
+e) 3.1 x 107 m/s.

10) A proton is accelerated (at rest) from a plate held at 333.6 volts to a plate at zero volts. What is the final speed?

-a) 1.1 x 105 m/s.
-b) 1.7 x 105 m/s.
+c) 2.5 x 105 m/s.
-d) 3.8 x 105 m/s.
-e) 5.7 x 105 m/s.

#### Key: R1

1) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

-a) 3180 N.
+b) 3657 N.
-c) 4206 N.
-d) 4837 N.
-e) 5562 N.

2) A 12.0 V battery can move 29,000 C of charge. How many Joules does it deliver?

-a) 2.615E+05 J
-b) 2.876E+05 J
-c) 3.164E+05 J
+d) 3.480E+05 J
-e) 3.828E+05 J
3)
A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.
-a) 4.590E+02 V
-b) 5.049E+02 V
-c) 5.554E+02 V
+d) 6.109E+02 V
-e) 6.720E+02 V
4)
What is the net capacitance if C1=2.49 μF, C2=4.24 μF, and C3=2.96 μF in the configuration shown?
-a) 4.117E+00 μF
+b) 4.529E+00 μF
-c) 4.982E+00 μF
-d) 5.480E+00 μF
-e) 6.028E+00 μF

5) An empty parallel-plate capacitor with metal plates has an area of 1.94 m2, separated by 1.27 mm. How much charge does it store if the voltage is 8.780E+03 V?

-a) 1.080E+02 μC
+b) 1.188E+02 μC
-c) 1.306E+02 μC
-d) 1.437E+02 μC
-e) 1.581E+02 μC

6) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

-a) 2.23 J.
+b) 2.56 J.
-c) 2.94 J.
-d) 3.39 J.
-e) 3.89 J.

7) How fast is a 2928 eV electron moving?

-a) 6.3 x 106 m/s.
-b) 9.5 x 106 m/s.
-c) 1.4 x 107 m/s.
-d) 2.1 x 107 m/s.
+e) 3.2 x 107 m/s.

8) A proton is accelerated (at rest) from a plate held at 333.6 volts to a plate at zero volts. What is the final speed?

-a) 1.1 x 105 m/s.
-b) 1.7 x 105 m/s.
+c) 2.5 x 105 m/s.
-d) 3.8 x 105 m/s.
-e) 5.7 x 105 m/s.

9) Assume that a 11 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (12 cm, 14°).

-a) 1.876E+02 V
-b) 2.063E+02 V
-c) 2.270E+02 V
-d) 2.497E+02 V
+e) 2.746E+02 V

10) The same parallel plate capacitor, with area 0.75 m2, plate separation 1.53mm, and an applied voltage of 5.05 kV. How much charge is stored?

-a) 16.57 μC.
-b) 19.06 μC.
+c) 21.92 μC.
-d) 25.21 μC.
-e) 28.99 μC.

#### Key: R2

1) The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

-a) 40.39 μC.
-b) 46.45 μC.
-c) 53.42 μC.
+d) 61.43 μC.
-e) 70.65 μC.

2) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 1473 N.
-b) 1694 N.
-c) 1948 N.
+d) 2241 N.
-e) 2577 N.

3) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?

-a) 1.967E+05 J
-b) 2.164E+05 J
-c) 2.380E+05 J
-d) 2.618E+05 J
+e) 2.880E+05 J

4) How fast is a 2663 eV electron moving?

+a) 3.1 x 107 m/s.
-b) 4.6 x 107 m/s.
-c) 6.9 x 107 m/s.
-d) 1 x 108 m/s.
-e) 1.5 x 108 m/s.

5) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (7 cm, 0°) and P2 is at (16 cm, 11°).

-a) 3.581E+02 V
-b) 3.939E+02 V
+c) 4.333E+02 V
-d) 4.767E+02 V
-e) 5.243E+02 V

6) A proton is accellerated (at rest) from a plate held at 588.2 volts to a plate at zero volts. What is the final speed?

-a) 6.6 x 104 m/s.
-b) 10 x 104 m/s.
-c) 1.5 x 105 m/s.
-d) 2.2 x 105 m/s.
+e) 3.4 x 105 m/s.

7) An empty parallel-plate capacitor with metal plates has an area of 2.21 m2, separated by 1.25 mm. How much charge does it store if the voltage is 1.580E+03 V?

-a) 2.249E+01 μC
+b) 2.473E+01 μC
-c) 2.721E+01 μC
-d) 2.993E+01 μC
-e) 3.292E+01 μC
8)
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.33 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
-a) 4.324E+02 V
-b) 4.757E+02 V
+c) 5.232E+02 V
-d) 5.755E+02 V
-e) 6.331E+02 V

9) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

-a) 0.81 J.
-b) 0.93 J.
+c) 1.07 J.
-d) 1.23 J.
-e) 1.41 J.
10)
What is the net capacitance if C1=4.12 μF, C2=3.45 μF, and C3=3.41 μF in the configuration shown?
-a) 4.370E+00 μF
-b) 4.807E+00 μF
+c) 5.288E+00 μF
-d) 5.816E+00 μF
-e) 6.398E+00 μF

### Key: S0

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.

-a) 1.942E+06 m/s
-b) 2.137E+06 m/s
-c) 2.350E+06 m/s
+d) 2.585E+06 m/s
-e) 2.844E+06 m/s

2) A 3 C charge is separated from a 11 C charge by distance of 12 cm. What is the work done by increasing this separation to 19 cm?

-a) 8.278E-07 J
+b) 9.106E-07 J
-c) 1.002E-06 J
-d) 1.102E-06 J
-e) 1.212E-06 J

3) A 12.0 V battery can move 41,000 C of charge. How many Joules does it deliver?

-a) 3.696E+05 J
-b) 4.066E+05 J
-c) 4.473E+05 J
+d) 4.920E+05 J
-e) 5.412E+05 J

4) An empty parallel-plate capacitor with metal plates has an area of 2.1 m2, separated by 1.13 mm. How much charge does it store if the voltage is 1.680E+03 V?

+a) 2.764E+01 μC
-b) 3.041E+01 μC
-c) 3.345E+01 μC
-d) 3.679E+01 μC
-e) 4.047E+01 μC
5)
In the figure shown C1=17.9 μF, C2=2.76 μF, and C3=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C1?
-a) 5.969E+01 μC
-b) 6.566E+01 μC
+c) 7.222E+01 μC
-d) 7.944E+01 μC
-e) 8.739E+01 μC

6) A 1.3 Farad capacitor is charged with 1.9 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

-a) 3.2 kV/m.
-b) 3.68 kV/m.
-c) 4.24 kV/m.
+d) 4.87 kV/m.
-e) 5.6 kV/m.

7) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 4025 N.
+b) 4628 N.
-c) 5322 N.
-d) 6121 N.
-e) 7039 N.

8) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

-a) 0.91 J.
-b) 1.05 J.
-c) 1.21 J.
+d) 1.39 J.
-e) 1.6 J.

9) What voltage is required accelerate an electron at rest to a speed of 1.5 x 103 m/s?

-a) 1.9 x 10-6 volts
-b) 2.8 x 10-6 volts
-c) 4.3 x 10-6 volts
+d) 6.4 x 10-6 volts
-e) 9.6 x 10-6 volts

10) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?

+a) 3.4 x 101 volts
-b) 5.1 x 101 volts
-c) 7.7 x 101 volts
-d) 1.2 x 102 volts
-e) 1.7 x 102 volts

#### Key: S1

1) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

-a) 4.4 x 10-6 volts
-b) 6.6 x 10-6 volts
-c) 9.9 x 10-6 volts
-d) 1.5 x 10-5 volts
+e) 2.2 x 10-5 volts
2)
In the figure shown C1=19.2 μF, C2=2.86 μF, and C3=5.03 μF. The voltage source provides ε=9.46 V. What is the charge on C1?
-a) 4.809E+01 μC
+b) 5.290E+01 μC
-c) 5.819E+01 μC
-d) 6.401E+01 μC
-e) 7.041E+01 μC

3) What voltage is required to stop a proton moving at a speed of 8 x 107 m/s?

+a) 3.3 x 107 volts
-b) 5 x 107 volts
-c) 7.5 x 107 volts
-d) 1.1 x 108 volts
-e) 1.7 x 108 volts

4) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 1473 N.
-b) 1694 N.
-c) 1948 N.
+d) 2241 N.
-e) 2577 N.

5) A 12.0 V battery can move 49,000 C of charge. How many Joules does it deliver?

+a) 5.880E+05 J
-b) 6.468E+05 J
-c) 7.115E+05 J
-d) 7.826E+05 J
-e) 8.609E+05 J

6) An empty parallel-plate capacitor with metal plates has an area of 1.94 m2, separated by 1.27 mm. How much charge does it store if the voltage is 8.780E+03 V?

-a) 1.080E+02 μC
+b) 1.188E+02 μC
-c) 1.306E+02 μC
-d) 1.437E+02 μC
-e) 1.581E+02 μC

7) A 2 C charge is separated from a 10 C charge by distance of 8 cm. What is the work done by increasing this separation to 14 cm?

-a) 8.754E-07 J
+b) 9.630E-07 J
-c) 1.059E-06 J
-d) 1.165E-06 J
-e) 1.282E-06 J

8) A 0.8 Farad capacitor is charged with 1.7 Coulombs. What is the value of the electric field if the plates are 0.5 mm apart?

-a) 2.43 kV/m.
-b) 2.79 kV/m.
-c) 3.21 kV/m.
-d) 3.7 kV/m.
+e) 4.25 kV/m.

9) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

-a) 0.91 J.
-b) 1.05 J.
-c) 1.21 J.
+d) 1.39 J.
-e) 1.6 J.

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 81 V.

-a) 4.411E+06 m/s
-b) 4.853E+06 m/s
+c) 5.338E+06 m/s
-d) 5.872E+06 m/s
-e) 6.459E+06 m/s

#### Key: S2

1) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

-a) 1.28 J.
-b) 1.47 J.
+c) 1.69 J.
-d) 1.94 J.
-e) 2.24 J.

2) A 4 C charge is separated from a 9 C charge by distance of 9 cm. What is the work done by increasing this separation to 14 cm?

-a) 8.769E-07 J
-b) 9.646E-07 J
-c) 1.061E-06 J
-d) 1.167E-06 J
+e) 1.284E-06 J

3) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?

+a) 3.4 x 101 volts
-b) 5.1 x 101 volts
-c) 7.7 x 101 volts
-d) 1.2 x 102 volts
-e) 1.7 x 102 volts

4) What voltage is required accelerate an electron at rest to a speed of 1.7 x 105 m/s?

-a) 1.6 x 10-2 volts
-b) 2.4 x 10-2 volts
-c) 3.7 x 10-2 volts
-d) 5.5 x 10-2 volts
+e) 8.2 x 10-2 volts

5) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?

-a) 3.570E+05 J
-b) 3.927E+05 J
+c) 4.320E+05 J
-d) 4.752E+05 J
-e) 5.227E+05 J

6) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.

-a) 3.031E+06 m/s
-b) 3.335E+06 m/s
-c) 3.668E+06 m/s
-d) 4.035E+06 m/s
+e) 4.438E+06 m/s

7) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 4025 N.
+b) 4628 N.
-c) 5322 N.
-d) 6121 N.
-e) 7039 N.

8) An empty parallel-plate capacitor with metal plates has an area of 1.73 m2, separated by 1.16 mm. How much charge does it store if the voltage is 1.130E+03 V?

-a) 1.121E+01 μC
-b) 1.233E+01 μC
-c) 1.357E+01 μC
+d) 1.492E+01 μC
-e) 1.641E+01 μC

9) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

-a) 1.57 kV/m.
-b) 1.8 kV/m.
-c) 2.07 kV/m.
-d) 2.38 kV/m.
+e) 2.74 kV/m.
10)
In the figure shown C1=19.4 μF, C2=2.49 μF, and C3=4.17 μF. The voltage source provides ε=6.35 V. What is the charge on C1?
-a) 2.602E+01 μC
-b) 2.862E+01 μC
+c) 3.148E+01 μC
-d) 3.463E+01 μC
-e) 3.809E+01 μC

### Key: T0

1) When a 6.03 V battery operates a 1.56 W bulb, how many electrons pass through it each second?

+a) 1.615E+18 electrons
-b) 1.776E+18 electrons
-c) 1.954E+18 electrons
-d) 2.149E+18 electrons
-e) 2.364E+18 electrons
2)
A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.51 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.85 cm, y=1.75 cm)? Note that following the textbook's example, the y-value of the field point at 1.75 cm matches the disance of the positive charge above the x-axis.
-a) 2.073E+02 V
-b) 2.281E+02 V
-c) 2.509E+02 V
-d) 2.760E+02 V
+e) 3.035E+02 V

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.

-a) 1.942E+06 m/s
-b) 2.137E+06 m/s
-c) 2.350E+06 m/s
+d) 2.585E+06 m/s
-e) 2.844E+06 m/s
4)
What is the net capacitance if C1=3.97 μF, C2=3.51 μF, and C3=2.18 μF in the configuration shown?
-a) 3.038E+00 μF
-b) 3.341E+00 μF
-c) 3.675E+00 μF
+d) 4.043E+00 μF
-e) 4.447E+00 μF

5) An empty parallel-plate capacitor with metal plates has an area of 2.78 m2, separated by 1.16 mm. How much charge does it store if the voltage is 8.980E+03 V?

-a) 1.432E+02 μC
-b) 1.575E+02 μC
-c) 1.732E+02 μC
+d) 1.906E+02 μC
-e) 2.096E+02 μC

6) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

+a) 1.81 J.
-b) 2.08 J.
-c) 2.39 J.
-d) 2.75 J.
-e) 3.16 J.

7) A 0.5 Farad capacitor is charged with 1.3 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

+a) 3.71 kV/m.
-b) 4.27 kV/m.
-c) 4.91 kV/m.
-d) 5.65 kV/m.
-e) 6.5 kV/m.

8) The same parallel plate capacitor, with area 0.75 m2, plate separation 0.53mm, and an applied voltage of 3.55 kV. How much charge is stored?

-a) 29.25 μC.
-b) 33.63 μC.
-c) 38.68 μC.
+d) 44.48 μC.
-e) 51.15 μC.

9) A proton is accellerated (at rest) from a plate held at 4.7 volts to a plate at zero volts. What is the final speed?

-a) 5.9 x 103 m/s.
-b) 8.9 x 103 m/s.
-c) 1.3 x 104 m/s.
-d) 2 x 104 m/s.
+e) 3 x 104 m/s.

10) What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

-a) 3.5 x 10-2 volts
-b) 5.3 x 10-2 volts
+c) 7.9 x 10-2 volts
-d) 1.2 x 10-1 volts
-e) 1.8 x 10-1 volts

#### Key: T1

1) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?

+a) 1.838E+18 electrons
-b) 2.022E+18 electrons
-c) 2.224E+18 electrons
-d) 2.446E+18 electrons
-e) 2.691E+18 electrons
2)
A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.
-a) 4.590E+02 V
-b) 5.049E+02 V
-c) 5.554E+02 V
+d) 6.109E+02 V
-e) 6.720E+02 V

3) The same parallel plate capacitor, with area 0.75 m2, plate separation 0.53mm, and an applied voltage of 3.55 kV. How much charge is stored?

-a) 29.25 μC.
-b) 33.63 μC.
-c) 38.68 μC.
+d) 44.48 μC.
-e) 51.15 μC.

4) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

-a) 2.3 x 105 volts
+b) 3.4 x 105 volts
-c) 5.1 x 105 volts
-d) 7.7 x 105 volts
-e) 1.2 x 106 volts

5) An empty parallel-plate capacitor with metal plates has an area of 2.83 m2, separated by 1.14 mm. How much charge does it store if the voltage is 4.180E+03 V?

-a) 6.275E+01 μC
-b) 6.903E+01 μC
-c) 7.593E+01 μC
-d) 8.352E+01 μC
+e) 9.188E+01 μC

6) A 0.9 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

-a) 2.68 kV/m.
-b) 3.08 kV/m.
-c) 3.54 kV/m.
+d) 4.07 kV/m.
-e) 4.69 kV/m.

7) A proton is accellerated (at rest) from a plate held at 318.6 volts to a plate at zero volts. What is the final speed?

-a) 1.6 x 105 m/s.
+b) 2.5 x 105 m/s.
-c) 3.7 x 105 m/s.
-d) 5.6 x 105 m/s.
-e) 8.3 x 105 m/s.

8) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.

+a) 5.102E+06 m/s
-b) 5.612E+06 m/s
-c) 6.173E+06 m/s
-d) 6.791E+06 m/s
-e) 7.470E+06 m/s
9)
What is the net capacitance if C1=2.24 μF, C2=4.86 μF, and C3=3.64 μF in the configuration shown?
-a) 4.275E+00 μF
-b) 4.703E+00 μF
+c) 5.173E+00 μF
-d) 5.691E+00 μF
-e) 6.260E+00 μF

10) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 0.38 J.
+b) 0.43 J.
-c) 0.5 J.
-d) 0.57 J.
-e) 0.66 J.

#### Key: T2

1) A 0.8 Farad capacitor is charged with 1.7 Coulombs. What is the value of the electric field if the plates are 0.5 mm apart?

-a) 2.43 kV/m.
-b) 2.79 kV/m.
-c) 3.21 kV/m.
-d) 3.7 kV/m.
+e) 4.25 kV/m.

2) An empty parallel-plate capacitor with metal plates has an area of 2.16 m2, separated by 1.12 mm. How much charge does it store if the voltage is 1.530E+03 V?

-a) 2.375E+01 μC
+b) 2.613E+01 μC
-c) 2.874E+01 μC
-d) 3.161E+01 μC
-e) 3.477E+01 μC

3) When a 1.95 V battery operates a 2.8 W bulb, how many electrons pass through it each second?

-a) 7.407E+18 electrons
-b) 8.147E+18 electrons
+c) 8.962E+18 electrons
-d) 9.858E+18 electrons
-e) 1.084E+19 electrons
4)
What is the net capacitance if C1=4.12 μF, C2=3.45 μF, and C3=3.41 μF in the configuration shown?
-a) 4.370E+00 μF
-b) 4.807E+00 μF
+c) 5.288E+00 μF
-d) 5.816E+00 μF
-e) 6.398E+00 μF
5)
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.51 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.
-a) 5.261E+02 V
-b) 5.787E+02 V
+c) 6.365E+02 V
-d) 7.002E+02 V
-e) 7.702E+02 V

6) The same parallel plate capacitor, with area 1.35 m2, plate separation 1.23mm, and an applied voltage of 2.65 kV. How much charge is stored?

-a) 16.93 μC.
-b) 19.47 μC.
-c) 22.39 μC.
+d) 25.75 μC.
-e) 29.62 μC.

7) What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

-a) 3.5 x 10-2 volts
-b) 5.3 x 10-2 volts
+c) 7.9 x 10-2 volts
-d) 1.2 x 10-1 volts
-e) 1.8 x 10-1 volts

8) Calculate the final speed of a free electron accelerated from rest through a potential difference of 12 V.

-a) 1.544E+06 m/s
-b) 1.698E+06 m/s
-c) 1.868E+06 m/s
+d) 2.055E+06 m/s
-e) 2.260E+06 m/s

9) A proton is accellerated (at rest) from a plate held at 39.7 volts to a plate at zero volts. What is the final speed?

-a) 3.9 x 104 m/s.
-b) 5.8 x 104 m/s.
+c) 8.7 x 104 m/s.
-d) 1.3 x 105 m/s.
-e) 2 x 105 m/s.

10) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 0.38 J.
+b) 0.43 J.
-c) 0.5 J.
-d) 0.57 J.
-e) 0.66 J.

### Key: U0

1) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?

+a) 4.200E+05 J
-b) 4.620E+05 J
-c) 5.082E+05 J
-d) 5.590E+05 J
-e) 6.149E+05 J

2) When a 2.76 V battery operates a 2.71 W bulb, how many electrons pass through it each second?

-a) 5.571E+18 electrons
+b) 6.128E+18 electrons
-c) 6.741E+18 electrons
-d) 7.415E+18 electrons
-e) 8.157E+18 electrons

3) A 6 C charge is separated from a 13 C charge by distance of 8 cm. What is the work done by increasing this separation to 16 cm?

-a) 3.292E-06 J
-b) 3.621E-06 J
-c) 3.983E-06 J
+d) 4.381E-06 J
-e) 4.820E-06 J
4)
In the figure shown C1=17.9 μF, C2=2.71 μF, and C3=4.14 μF. The voltage source provides ε=7.12 V. What is the charge on C1?
+a) 3.527E+01 μC
-b) 3.880E+01 μC
-c) 4.268E+01 μC
-d) 4.695E+01 μC
-e) 5.164E+01 μC
5)
What is the net capacitance if C1=3.97 μF, C2=3.51 μF, and C3=2.18 μF in the configuration shown?
-a) 3.038E+00 μF
-b) 3.341E+00 μF
-c) 3.675E+00 μF
+d) 4.043E+00 μF
-e) 4.447E+00 μF

6) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

+a) 1.81 J.
-b) 2.08 J.
-c) 2.39 J.
-d) 2.75 J.
-e) 3.16 J.

7) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

-a) 3180 N.
+b) 3657 N.
-c) 4206 N.
-d) 4837 N.
-e) 5562 N.

8) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

-a) 1.91 kV/m.
-b) 2.19 kV/m.
-c) 2.52 kV/m.
-d) 2.9 kV/m.
+e) 3.33 kV/m.

9) What voltage is required accelerate an electron at rest to a speed of 5.6 x 104 m/s?

-a) 5.9 x 10-3 volts
+b) 8.9 x 10-3 volts
-c) 1.3 x 10-2 volts
-d) 2 x 10-2 volts
-e) 3 x 10-2 volts

10) How fast is a 2663 eV electron moving?

+a) 3.1 x 107 m/s.
-b) 4.6 x 107 m/s.
-c) 6.9 x 107 m/s.
-d) 1 x 108 m/s.
-e) 1.5 x 108 m/s.

#### Key: U1

1) How fast is a 2355 eV electron moving?

-a) 1.9 x 107 m/s.
+b) 2.9 x 107 m/s.
-c) 4.3 x 107 m/s.
-d) 6.5 x 107 m/s.
-e) 9.7 x 107 m/s.

2) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

-a) 4.4 x 10-6 volts
-b) 6.6 x 10-6 volts
-c) 9.9 x 10-6 volts
-d) 1.5 x 10-5 volts
+e) 2.2 x 10-5 volts

3) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 1.08 J.
-b) 1.24 J.
-c) 1.43 J.
-d) 1.64 J.
+e) 1.89 J.
4)
In the figure shown C1=16.0 μF, C2=2.27 μF, and C3=4.4 μF. The voltage source provides ε=7.11 V. What is the charge on C1?
-a) 2.515E+01 μC
-b) 2.766E+01 μC
-c) 3.043E+01 μC
+d) 3.347E+01 μC
-e) 3.682E+01 μC
5)
What is the net capacitance if C1=2.96 μF, C2=3.95 μF, and C3=3.74 μF in the configuration shown?
-a) 4.489E+00 μF
-b) 4.938E+00 μF
+c) 5.432E+00 μF
-d) 5.975E+00 μF
-e) 6.573E+00 μF

6) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

-a) 1.57 kV/m.
-b) 1.8 kV/m.
-c) 2.07 kV/m.
-d) 2.38 kV/m.
+e) 2.74 kV/m.

7) A 12.0 V battery can move 24,000 C of charge. How many Joules does it deliver?

-a) 1.967E+05 J
-b) 2.164E+05 J
-c) 2.380E+05 J
-d) 2.618E+05 J
+e) 2.880E+05 J

8) A 7 C charge is separated from a 15 C charge by distance of 14 cm. What is the work done by increasing this separation to 20 cm?

-a) 1.519E-06 J
-b) 1.671E-06 J
-c) 1.838E-06 J
+d) 2.022E-06 J
-e) 2.224E-06 J

9) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?

-a) 7.397E+17 electrons
-b) 8.137E+17 electrons
-c) 8.951E+17 electrons
-d) 9.846E+17 electrons
+e) 1.083E+18 electrons

10) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the force between the plates if they are 0.6 mm apart?

-a) 2381 N.
-b) 2738 N.
+c) 3149 N.
-d) 3621 N.
-e) 4164 N.

#### Key: U2

1)
In the figure shown C1=17.8 μF, C2=2.22 μF, and C3=5.71 μF. The voltage source provides ε=13.9 V. What is the charge on C1?
+a) 7.625E+01 μC
-b) 8.388E+01 μC
-c) 9.227E+01 μC
-d) 1.015E+02 μC
-e) 1.116E+02 μC

2) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?

+a) 4.200E+05 J
-b) 4.620E+05 J
-c) 5.082E+05 J
-d) 5.590E+05 J
-e) 6.149E+05 J

3) How fast is a 2952 eV electron moving?

-a) 6.4 x 106 m/s.
-b) 9.5 x 106 m/s.
-c) 1.4 x 107 m/s.
-d) 2.1 x 107 m/s.
+e) 3.2 x 107 m/s.

4) A 0.5 Farad capacitor is charged with 1.3 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

+a) 3.71 kV/m.
-b) 4.27 kV/m.
-c) 4.91 kV/m.
-d) 5.65 kV/m.
-e) 6.5 kV/m.

5) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

-a) 0.44 J.
-b) 0.51 J.
-c) 0.58 J.
+d) 0.67 J.
-e) 0.77 J.

6) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

-a) 2319 N.
+b) 2667 N.
-c) 3067 N.
-d) 3527 N.
-e) 4056 N.

7) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?

+a) 1.838E+18 electrons
-b) 2.022E+18 electrons
-c) 2.224E+18 electrons
-d) 2.446E+18 electrons
-e) 2.691E+18 electrons

8) A 5 C charge is separated from a 12 C charge by distance of 10 cm. What is the work done by increasing this separation to 16 cm?

-a) 1.381E-06 J
-b) 1.519E-06 J
-c) 1.671E-06 J
-d) 1.838E-06 J
+e) 2.022E-06 J
9)
What is the net capacitance if C1=3.06 μF, C2=3.09 μF, and C3=2.48 μF in the configuration shown?
-a) 3.018E+00 μF
-b) 3.320E+00 μF
-c) 3.652E+00 μF
+d) 4.017E+00 μF
-e) 4.419E+00 μF

10) What voltage is required accelerate an electron at rest to a speed of 5.5 x 105 m/s?

-a) 2.5 x 10-1 volts
-b) 3.8 x 10-1 volts
-c) 5.7 x 10-1 volts
+d) 8.6 x 10-1 volts
-e) 1.3 x 100 volts

### Key: V0

1) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x2 + y2 + z2 = R2, where R=

-a) 5.169E+00 m
-b) 5.686E+00 m
-c) 6.255E+00 m
-d) 6.880E+00 m
+e) 7.568E+00 m
2)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 2.617E+01 J
-b) 2.879E+01 J
-c) 3.167E+01 J
-d) 3.484E+01 J
+e) 3.832E+01 J

3) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (16 cm, 71°).

-a) 1.969E+02 V
-b) 2.166E+02 V
-c) 2.383E+02 V
+d) 2.621E+02 V
-e) 2.884E+02 V
4)
In the figure shown C1=17.2 μF, C2=2.71 μF, and C3=5.28 μF. The voltage source provides ε=13.2 V. What is the energy stored in C2?
+a) 2.443E+01 μJ
-b) 2.687E+01 μJ
-c) 2.955E+01 μJ
-d) 3.251E+01 μJ
-e) 3.576E+01 μJ

5) An empty parallel-plate capacitor with metal plates has an area of 2.82 m2, separated by 1.29 mm. How much charge does it store if the voltage is 7.420E+03 V?

-a) 1.187E+02 μC
-b) 1.306E+02 μC
+c) 1.436E+02 μC
-d) 1.580E+02 μC
-e) 1.738E+02 μC

6) A 0.5 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

-a) 3.46 kV/m.
-b) 3.98 kV/m.
+c) 4.57 kV/m.
-d) 5.26 kV/m.
-e) 6.05 kV/m.

7) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

-a) 2319 N.
+b) 2667 N.
-c) 3067 N.
-d) 3527 N.
-e) 4056 N.

8) The same parallel plate capacitor, with area 1.35 m2, plate separation 1.23mm, and an applied voltage of 2.65 kV. How much charge is stored?

-a) 16.93 μC.
-b) 19.47 μC.
-c) 22.39 μC.
+d) 25.75 μC.
-e) 29.62 μC.

9) A proton is accellerated (at rest) from a plate held at 4.7 volts to a plate at zero volts. What is the final speed?

-a) 5.9 x 103 m/s.
-b) 8.9 x 103 m/s.
-c) 1.3 x 104 m/s.
-d) 2 x 104 m/s.
+e) 3 x 104 m/s.

10) What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

-a) 3.5 x 10-2 volts
-b) 5.3 x 10-2 volts
+c) 7.9 x 10-2 volts
-d) 1.2 x 10-1 volts
-e) 1.8 x 10-1 volts

#### Key: V1

1) The same parallel plate capacitor, with area 0.55 m2, plate separation 0.53mm, and an applied voltage of 4.25 kV. How much charge is stored?

+a) 39.05 μC.
-b) 44.91 μC.
-c) 51.64 μC.
-d) 59.39 μC.
-e) 68.3 μC.

2) Assume that a 11 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (12 cm, 14°).

-a) 1.876E+02 V
-b) 2.063E+02 V
-c) 2.270E+02 V
-d) 2.497E+02 V
+e) 2.746E+02 V

3) A 1.4 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

-a) 0.86 kV/m.
-b) 0.99 kV/m.
-c) 1.14 kV/m.
+d) 1.31 kV/m.
-e) 1.51 kV/m.

4) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 1473 N.
-b) 1694 N.
-c) 1948 N.
+d) 2241 N.
-e) 2577 N.

5) A proton is accelerated (at rest) from a plate held at 333.6 volts to a plate at zero volts. What is the final speed?

-a) 1.1 x 105 m/s.
-b) 1.7 x 105 m/s.
+c) 2.5 x 105 m/s.
-d) 3.8 x 105 m/s.
-e) 5.7 x 105 m/s.

6) An empty parallel-plate capacitor with metal plates has an area of 2.42 m2, separated by 1.33 mm. How much charge does it store if the voltage is 1.130E+03 V?

-a) 1.368E+01 μC
-b) 1.505E+01 μC
-c) 1.655E+01 μC
+d) 1.820E+01 μC
-e) 2.003E+01 μC
7)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 6.598E+01 J
-b) 7.258E+01 J
-c) 7.983E+01 J
+d) 8.782E+01 J
-e) 9.660E+01 J

8) What voltage is required to stop a proton moving at a speed of 7.6 x 106 m/s?

+a) 3 x 105 volts
-b) 4.5 x 105 volts
-c) 6.8 x 105 volts
-d) 1 x 106 volts
-e) 1.5 x 106 volts
9)
In the figure shown C1=18.2 μF, C2=2.44 μF, and C3=5.0 μF. The voltage source provides ε=7.78 V. What is the energy stored in C2?
-a) 1.225E+01 μJ
+b) 1.347E+01 μJ
-c) 1.482E+01 μJ
-d) 1.630E+01 μJ
-e) 1.793E+01 μJ

10) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=62 V is x2 + y2 + z2 = R2, where R=

-a) 2.277E+00 m
-b) 2.505E+00 m
-c) 2.755E+00 m
-d) 3.031E+00 m
+e) 3.334E+00 m

#### Key: V2

1) A proton is accellerated (at rest) from a plate held at 318.6 volts to a plate at zero volts. What is the final speed?

-a) 1.6 x 105 m/s.
+b) 2.5 x 105 m/s.
-c) 3.7 x 105 m/s.
-d) 5.6 x 105 m/s.
-e) 8.3 x 105 m/s.

2) Assume that a 25 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (5 cm, 0°) and P2 is at (13 cm, 70°).

-a) 2.285E+03 V
-b) 2.514E+03 V
+c) 2.765E+03 V
-d) 3.042E+03 V
-e) 3.346E+03 V

3) If a 24 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=97 V is x2 + y2 + z2 = R2, where R=

-a) 1.838E+00 m
-b) 2.022E+00 m
+c) 2.224E+00 m
-d) 2.446E+00 m
-e) 2.691E+00 m

4) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 4025 N.
+b) 4628 N.
-c) 5322 N.
-d) 6121 N.
-e) 7039 N.

5) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

-a) 2.3 x 105 volts
+b) 3.4 x 105 volts
-c) 5.1 x 105 volts
-d) 7.7 x 105 volts
-e) 1.2 x 106 volts
6)
In the figure shown C1=16.3 μF, C2=2.17 μF, and C3=4.67 μF. The voltage source provides ε=8.35 V. What is the energy stored in C2?
-a) 8.718E+00 μJ
-b) 9.589E+00 μJ
-c) 1.055E+01 μJ
-d) 1.160E+01 μJ
+e) 1.276E+01 μJ

7) An empty parallel-plate capacitor with metal plates has an area of 2.1 m2, separated by 1.13 mm. How much charge does it store if the voltage is 1.680E+03 V?

+a) 2.764E+01 μC
-b) 3.041E+01 μC
-c) 3.345E+01 μC
-d) 3.679E+01 μC
-e) 4.047E+01 μC

8) A 0.5 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

-a) 3.46 kV/m.
-b) 3.98 kV/m.
+c) 4.57 kV/m.
-d) 5.26 kV/m.
-e) 6.05 kV/m.
9)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 6.598E+01 J
-b) 7.258E+01 J
-c) 7.983E+01 J
+d) 8.782E+01 J
-e) 9.660E+01 J

10) The same parallel plate capacitor, with area 1.15 m2, plate separation 0.63mm, and an applied voltage of 2.25 kV. How much charge is stored?

-a) 23.91 μC.
-b) 27.5 μC.
-c) 31.62 μC.
+d) 36.37 μC.
-e) 41.82 μC.

### Key: W0

1)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 2.617E+01 J
-b) 2.879E+01 J
-c) 3.167E+01 J
-d) 3.484E+01 J
+e) 3.832E+01 J

2) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=

+a) 2.420E+00 m
-b) 2.662E+00 m
-c) 2.928E+00 m
-d) 3.221E+00 m
-e) 3.543E+00 m

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 27 V.

-a) 2.802E+06 m/s
+b) 3.082E+06 m/s
-c) 3.390E+06 m/s
-d) 3.729E+06 m/s
-e) 4.102E+06 m/s
4)
What is the net capacitance if C1=2.24 μF, C2=4.86 μF, and C3=3.64 μF in the configuration shown?
-a) 4.275E+00 μF
-b) 4.703E+00 μF
+c) 5.173E+00 μF
-d) 5.691E+00 μF
-e) 6.260E+00 μF

5) An empty parallel-plate capacitor with metal plates has an area of 2.84 m2, separated by 1.42 mm. How much charge does it store if the voltage is 1.510E+03 V?

-a) 1.826E+01 μC
-b) 2.009E+01 μC
-c) 2.210E+01 μC
-d) 2.431E+01 μC
+e) 2.674E+01 μC

6) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 4025 N.
+b) 4628 N.
-c) 5322 N.
-d) 6121 N.
-e) 7039 N.

7) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 0.93mm. Applied to the plates is a potential difference of 4.45 kV. What is the capacitance?

-a) 12 nF.
+b) 13.8 nF.
-c) 15.88 nF.
-d) 18.26 nF.
-e) 21 nF.

8) A 0.9 Farad capacitor is charged with 1.1 Coulombs. What is the value of the electric field if the plates are 0.3 mm apart?

-a) 2.68 kV/m.
-b) 3.08 kV/m.
-c) 3.54 kV/m.
+d) 4.07 kV/m.
-e) 4.69 kV/m.

9) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?

-a) 3.2 x 103 volts
-b) 4.9 x 103 volts
-c) 7.3 x 103 volts
-d) 1.1 x 104 volts
+e) 1.6 x 104 volts

10) How fast is a 2355 eV electron moving?

-a) 1.9 x 107 m/s.
+b) 2.9 x 107 m/s.
-c) 4.3 x 107 m/s.
-d) 6.5 x 107 m/s.
-e) 9.7 x 107 m/s.

#### Key: W1

1) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x2 + y2 + z2 = R2, where R=

-a) 5.169E+00 m
-b) 5.686E+00 m
-c) 6.255E+00 m
-d) 6.880E+00 m
+e) 7.568E+00 m

2) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 2.55 kV. What is the capacitance?

+a) 8.39 nF.
-b) 9.65 nF.
-c) 11.1 nF.
-d) 12.76 nF.
-e) 14.68 nF.

3) A 1.3 Farad capacitor charged with 1.9 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 4025 N.
+b) 4628 N.
-c) 5322 N.
-d) 6121 N.
-e) 7039 N.
4)
Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.) The charges are q1=4 μC, q2=7 μC, q3=10 μC, and q4=12 μC. How much work was required to assemble these four charges from infinity?
-a) 1.194E+02 J
-b) 1.314E+02 J
-c) 1.445E+02 J
+d) 1.589E+02 J
-e) 1.748E+02 J

5) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

-a) 1.91 kV/m.
-b) 2.19 kV/m.
-c) 2.52 kV/m.
-d) 2.9 kV/m.
+e) 3.33 kV/m.
6)
What is the net capacitance if C1=2.55 μF, C2=4.13 μF, and C3=2.5 μF in the configuration shown?
+a) 4.077E+00 μF
-b) 4.484E+00 μF
-c) 4.933E+00 μF
-d) 5.426E+00 μF
-e) 5.969E+00 μF

7) What voltage is required accelerate an electron at rest to a speed of 2.8 x 103 m/s?

-a) 4.4 x 10-6 volts
-b) 6.6 x 10-6 volts
-c) 9.9 x 10-6 volts
-d) 1.5 x 10-5 volts
+e) 2.2 x 10-5 volts

8) How fast is a 2493 eV electron moving?

-a) 1.3 x 107 m/s.
-b) 2 x 107 m/s.
+c) 3 x 107 m/s.
-d) 4.4 x 107 m/s.
-e) 6.7 x 107 m/s.

9) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.

-a) 1.942E+06 m/s
-b) 2.137E+06 m/s
-c) 2.350E+06 m/s
+d) 2.585E+06 m/s
-e) 2.844E+06 m/s

10) An empty parallel-plate capacitor with metal plates has an area of 1.73 m2, separated by 1.16 mm. How much charge does it store if the voltage is 1.130E+03 V?

-a) 1.121E+01 μC
-b) 1.233E+01 μC
-c) 1.357E+01 μC
+d) 1.492E+01 μC
-e) 1.641E+01 μC

#### Key: W2

1) An empty parallel-plate capacitor with metal plates has an area of 2.66 m2, separated by 1.18 mm. How much charge does it store if the voltage is 6.170E+03 V?

+a) 1.231E+02 μC
-b) 1.355E+02 μC
-c) 1.490E+02 μC
-d) 1.639E+02 μC
-e) 1.803E+02 μC
2)
What is the net capacitance if C1=3.13 μF, C2=2.28 μF, and C3=2.59 μF in the configuration shown?
-a) 3.231E+00 μF
-b) 3.554E+00 μF
+c) 3.909E+00 μF
-d) 4.300E+00 μF
-e) 4.730E+00 μF

3) How fast is a 2663 eV electron moving?

+a) 3.1 x 107 m/s.
-b) 4.6 x 107 m/s.
-c) 6.9 x 107 m/s.
-d) 1 x 108 m/s.
-e) 1.5 x 108 m/s.
4)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 3.116E+01 J
-b) 3.427E+01 J
-c) 3.770E+01 J
-d) 4.147E+01 J
+e) 4.562E+01 J

5) What voltage is required accelerate an electron at rest to a speed of 5.5 x 105 m/s?

-a) 2.5 x 10-1 volts
-b) 3.8 x 10-1 volts
-c) 5.7 x 10-1 volts
+d) 8.6 x 10-1 volts
-e) 1.3 x 100 volts

6) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

-a) 1.91 kV/m.
-b) 2.19 kV/m.
-c) 2.52 kV/m.
-d) 2.9 kV/m.
+e) 3.33 kV/m.

7) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the force between the plates if they are 0.5 mm apart?

-a) 2065 N.
-b) 2375 N.
-c) 2732 N.
-d) 3141 N.
+e) 3613 N.

8) Calculate the final speed of a free electron accelerated from rest through a potential difference of 56 V.

-a) 3.031E+06 m/s
-b) 3.335E+06 m/s
-c) 3.668E+06 m/s
-d) 4.035E+06 m/s
+e) 4.438E+06 m/s

9) A parallel plate capacitor has both plates with an area of 0.55 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 4.25 kV. What is the capacitance?

-a) 6.95 nF.
-b) 7.99 nF.
+c) 9.19 nF.
-d) 10.57 nF.
-e) 12.15 nF.

10) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=

+a) 2.420E+00 m
-b) 2.662E+00 m
-c) 2.928E+00 m
-d) 3.221E+00 m
-e) 3.543E+00 m

### Key: X0

1) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?

-a) 4.723E-01 mm
-b) 5.432E-01 mm
-c) 6.246E-01 mm
-d) 7.183E-01 mm
+e) 8.261E-01 mm

2) A 3 C charge is separated from a 7 C charge by distance of 10 cm. What is the work done by increasing this separation to 15 cm?

-a) 5.199E-07 J
-b) 5.719E-07 J
+c) 6.291E-07 J
-d) 6.920E-07 J
-e) 7.612E-07 J
3)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=6 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
-a) 2.343E+01 J
+b) 2.577E+01 J
-c) 2.835E+01 J
-d) 3.118E+01 J
-e) 3.430E+01 J

4) An empty parallel-plate capacitor with metal plates has an area of 1.73 m2, separated by 1.16 mm. How much charge does it store if the voltage is 1.130E+03 V?

-a) 1.121E+01 μC
-b) 1.233E+01 μC
-c) 1.357E+01 μC
+d) 1.492E+01 μC
-e) 1.641E+01 μC
5)
In the figure shown C1=16.1 μF, C2=2.14 μF, and C3=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C2?
+a) 1.199E+01 μJ
-b) 1.319E+01 μJ
-c) 1.450E+01 μJ
-d) 1.595E+01 μJ
-e) 1.755E+01 μJ

6) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 1.08 J.
-b) 1.24 J.
-c) 1.43 J.
-d) 1.64 J.
+e) 1.89 J.

7) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.4 mm apart?

-a) 2319 N.
+b) 2667 N.
-c) 3067 N.
-d) 3527 N.
-e) 4056 N.

8) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 3.55 kV. What is the capacitance?

-a) 7.16 nF.
-b) 8.24 nF.
-c) 9.47 nF.
-d) 10.9 nF.
+e) 12.53 nF.

9) What voltage is required to stop a proton moving at a speed of 7.6 x 106 m/s?

+a) 3 x 105 volts
-b) 4.5 x 105 volts
-c) 6.8 x 105 volts
-d) 1 x 106 volts
-e) 1.5 x 106 volts

10) A proton is accellerated (at rest) from a plate held at 588.2 volts to a plate at zero volts. What is the final speed?

-a) 6.6 x 104 m/s.
-b) 10 x 104 m/s.
-c) 1.5 x 105 m/s.
-d) 2.2 x 105 m/s.
+e) 3.4 x 105 m/s.

#### Key: X1

1) A proton is accellerated (at rest) from a plate held at 775.8 volts to a plate at zero volts. What is the final speed?

-a) 7.6 x 104 m/s.
-b) 1.1 x 105 m/s.
-c) 1.7 x 105 m/s.
-d) 2.6 x 105 m/s.
+e) 3.9 x 105 m/s.
2)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 6.598E+01 J
-b) 7.258E+01 J
-c) 7.983E+01 J
+d) 8.782E+01 J
-e) 9.660E+01 J

3) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

-a) 0.81 J.
-b) 0.93 J.
+c) 1.07 J.
-d) 1.23 J.
-e) 1.41 J.
4)
In the figure shown C1=18.7 μF, C2=2.15 μF, and C3=4.88 μF. The voltage source provides ε=11.9 V. What is the energy stored in C2?
-a) 1.270E+01 μJ
-b) 1.397E+01 μJ
-c) 1.537E+01 μJ
-d) 1.690E+01 μJ
+e) 1.859E+01 μJ

5) A 0.5 Farad capacitor charged with 1.3 Coulombs. What is the force between the plates if they are 0.7 mm apart?

-a) 1826 N.
-b) 2099 N.
+c) 2414 N.
-d) 2776 N.
-e) 3193 N.

6) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?

-a) 4.391E-01 mm
-b) 5.049E-01 mm
-c) 5.806E-01 mm
-d) 6.677E-01 mm
+e) 7.679E-01 mm

7) What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

-a) 3.5 x 10-2 volts
-b) 5.3 x 10-2 volts
+c) 7.9 x 10-2 volts
-d) 1.2 x 10-1 volts
-e) 1.8 x 10-1 volts

8) A parallel plate capacitor has both plates with an area of 1.35 m2. The separation between the plates is 1.23mm. Applied to the plates is a potential difference of 2.65 kV. What is the capacitance?

-a) 7.35 nF.
-b) 8.45 nF.
+c) 9.72 nF.
-d) 11.18 nF.
-e) 12.85 nF.

9) An empty parallel-plate capacitor with metal plates has an area of 2.78 m2, separated by 1.16 mm. How much charge does it store if the voltage is 8.980E+03 V?

-a) 1.432E+02 μC
-b) 1.575E+02 μC
-c) 1.732E+02 μC
+d) 1.906E+02 μC
-e) 2.096E+02 μC

10) A 5 C charge is separated from a 9 C charge by distance of 14 cm. What is the work done by increasing this separation to 18 cm?

-a) 4.385E-07 J
-b) 4.823E-07 J
-c) 5.306E-07 J
-d) 5.836E-07 J
+e) 6.420E-07 J

#### Key: X2

1) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the force between the plates if they are 0.3 mm apart?

-a) 1473 N.
-b) 1694 N.
-c) 1948 N.
+d) 2241 N.
-e) 2577 N.

2) An empty parallel-plate capacitor with metal plates has an area of 2.84 m2, separated by 1.42 mm. How much charge does it store if the voltage is 1.510E+03 V?

-a) 1.826E+01 μC
-b) 2.009E+01 μC
-c) 2.210E+01 μC
-d) 2.431E+01 μC
+e) 2.674E+01 μC
3)
In the figure shown C1=16.1 μF, C2=2.14 μF, and C3=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C2?
+a) 1.199E+01 μJ
-b) 1.319E+01 μJ
-c) 1.450E+01 μJ
-d) 1.595E+01 μJ
-e) 1.755E+01 μJ

4) A 7 C charge is separated from a 11 C charge by distance of 11 cm. What is the work done by increasing this separation to 19 cm?

-a) 2.408E-06 J
+b) 2.649E-06 J
-c) 2.914E-06 J
-d) 3.205E-06 J
-e) 3.526E-06 J

5) A proton is accellerated (at rest) from a plate held at 729.8 volts to a plate at zero volts. What is the final speed?

-a) 1.7 x 105 m/s.
-b) 2.5 x 105 m/s.
+c) 3.7 x 105 m/s.
-d) 5.6 x 105 m/s.
-e) 8.4 x 105 m/s.
6)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 4.554E+01 J
-b) 5.009E+01 J
-c) 5.510E+01 J
+d) 6.061E+01 J
-e) 6.667E+01 J

7) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.310E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

-a) 5.814E-01 mm
-b) 6.686E-01 mm
-c) 7.689E-01 mm
+d) 8.842E-01 mm
-e) 1.017E+00 mm

8) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

-a) 3.28 nF.
-b) 3.77 nF.
+c) 4.34 nF.
-d) 4.99 nF.
-e) 5.74 nF.

9) What voltage is required to stop a proton moving at a speed of 4.2 x 103 m/s?

-a) 6.1 x 10-2 volts
+b) 9.2 x 10-2 volts
-c) 1.4 x 10-1 volts
-d) 2.1 x 10-1 volts
-e) 3.1 x 10-1 volts

10) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

-a) 2.23 J.
+b) 2.56 J.
-c) 2.94 J.
-d) 3.39 J.
-e) 3.89 J.

### Key: Y0

1) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=62 V is x2 + y2 + z2 = R2, where R=

-a) 2.277E+00 m
-b) 2.505E+00 m
-c) 2.755E+00 m
-d) 3.031E+00 m
+e) 3.334E+00 m

2) A 12.0 V battery can move 26,000 C of charge. How many Joules does it deliver?

-a) 2.836E+05 J
+b) 3.120E+05 J
-c) 3.432E+05 J
-d) 3.775E+05 J
-e) 4.153E+05 J

3) When a 3.8 V battery operates a 1.67 W bulb, how many electrons pass through it each second?

-a) 1.873E+18 electrons
-b) 2.061E+18 electrons
-c) 2.267E+18 electrons
-d) 2.494E+18 electrons
+e) 2.743E+18 electrons
4)
In the figure shown C1=15.7 μF, C2=2.87 μF, and C3=5.46 μF. The voltage source provides ε=5.38 V. What is the energy stored in C2?
-a) 6.890E+00 μJ
-b) 7.579E+00 μJ
-c) 8.337E+00 μJ
-d) 9.171E+00 μJ
+e) 1.009E+01 μJ
5)
What is the net capacitance if C1=4.13 μF, C2=3.56 μF, and C3=3.57 μF in the configuration shown?
+a) 5.482E+00 μF
-b) 6.030E+00 μF
-c) 6.633E+00 μF
-d) 7.296E+00 μF
-e) 8.026E+00 μF

6) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

-a) 42.21 μC.
-b) 48.54 μC.
-c) 55.82 μC.
+d) 64.19 μC.
-e) 73.82 μC.

7) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 3.55 kV. What is the capacitance?

-a) 7.16 nF.
-b) 8.24 nF.
-c) 9.47 nF.
-d) 10.9 nF.
+e) 12.53 nF.

8) A 0.8 Farad capacitor is charged with 1.7 Coulombs. What is the value of the electric field if the plates are 0.5 mm apart?

-a) 2.43 kV/m.
-b) 2.79 kV/m.
-c) 3.21 kV/m.
-d) 3.7 kV/m.
+e) 4.25 kV/m.

9) What voltage is required accelerate an electron at rest to a speed of 7.6 x 107 m/s?

-a) 3.2 x 103 volts
-b) 4.9 x 103 volts
-c) 7.3 x 103 volts
-d) 1.1 x 104 volts
+e) 1.6 x 104 volts

10) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

-a) 2.3 x 105 volts
+b) 3.4 x 105 volts
-c) 5.1 x 105 volts
-d) 7.7 x 105 volts
-e) 1.2 x 106 volts

#### Key: Y1

1)
In the figure shown C1=15.7 μF, C2=2.87 μF, and C3=5.46 μF. The voltage source provides ε=5.38 V. What is the energy stored in C2?
-a) 6.890E+00 μJ
-b) 7.579E+00 μJ
-c) 8.337E+00 μJ
-d) 9.171E+00 μJ
+e) 1.009E+01 μJ

2) What voltage is required to stop a proton moving at a speed of 8 x 107 m/s?

+a) 3.3 x 107 volts
-b) 5 x 107 volts
-c) 7.5 x 107 volts
-d) 1.1 x 108 volts
-e) 1.7 x 108 volts

3) If a 28 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=77 V is x2 + y2 + z2 = R2, where R=

-a) 2.701E+00 m
-b) 2.971E+00 m
+c) 3.268E+00 m
-d) 3.595E+00 m
-e) 3.955E+00 m
4)
What is the net capacitance if C1=3.97 μF, C2=3.51 μF, and C3=2.18 μF in the configuration shown?
-a) 3.038E+00 μF
-b) 3.341E+00 μF
-c) 3.675E+00 μF
+d) 4.043E+00 μF
-e) 4.447E+00 μF

5) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 0.93mm. Applied to the plates is a potential difference of 4.45 kV. What is the capacitance?

-a) 12 nF.
+b) 13.8 nF.
-c) 15.88 nF.
-d) 18.26 nF.
-e) 21 nF.

6) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?

+a) 1.838E+18 electrons
-b) 2.022E+18 electrons
-c) 2.224E+18 electrons
-d) 2.446E+18 electrons
-e) 2.691E+18 electrons

7) The same parallel plate capacitor, with area 1.45 m2, plate separation 0.93mm, and an applied voltage of 4.45 kV. How much charge is stored?

-a) 40.39 μC.
-b) 46.45 μC.
-c) 53.42 μC.
+d) 61.43 μC.
-e) 70.65 μC.

8) What voltage is required accelerate an electron at rest to a speed of 5.6 x 104 m/s?

-a) 5.9 x 10-3 volts
+b) 8.9 x 10-3 volts
-c) 1.3 x 10-2 volts
-d) 2 x 10-2 volts
-e) 3 x 10-2 volts

9) A 0.5 Farad capacitor is charged with 1.3 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

+a) 3.71 kV/m.
-b) 4.27 kV/m.
-c) 4.91 kV/m.
-d) 5.65 kV/m.
-e) 6.5 kV/m.

10) A 12.0 V battery can move 49,000 C of charge. How many Joules does it deliver?

+a) 5.880E+05 J
-b) 6.468E+05 J
-c) 7.115E+05 J
-d) 7.826E+05 J
-e) 8.609E+05 J

#### Key: Y2

1)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
-a) 6.750E+00 μJ
-b) 7.425E+00 μJ
+c) 8.168E+00 μJ
-d) 8.984E+00 μJ
-e) 9.883E+00 μJ

2) What voltage is required to stop a proton moving at a speed of 8.1 x 106 m/s?

-a) 2.3 x 105 volts
+b) 3.4 x 105 volts
-c) 5.1 x 105 volts
-d) 7.7 x 105 volts
-e) 1.2 x 106 volts

3) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

-a) 1.91 kV/m.
-b) 2.19 kV/m.
-c) 2.52 kV/m.
-d) 2.9 kV/m.
+e) 3.33 kV/m.

4) What voltage is required accelerate an electron at rest to a speed of 9.5 x 106 m/s?

-a) 1.1 x 102 volts
-b) 1.7 x 102 volts
+c) 2.6 x 102 volts
-d) 3.8 x 102 volts
-e) 5.8 x 102 volts

5) A parallel plate capacitor has both plates with an area of 1.45 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 2.55 kV. What is the capacitance?

+a) 8.39 nF.
-b) 9.65 nF.
-c) 11.1 nF.
-d) 12.76 nF.
-e) 14.68 nF.
6)
What is the net capacitance if C1=2.25 μF, C2=4.16 μF, and C3=2.49 μF in the configuration shown?
-a) 2.698E+00 μF
-b) 2.968E+00 μF
-c) 3.265E+00 μF
-d) 3.591E+00 μF
+e) 3.950E+00 μF

7) A 12.0 V battery can move 44,000 C of charge. How many Joules does it deliver?

-a) 4.800E+05 J
+b) 5.280E+05 J
-c) 5.808E+05 J
-d) 6.389E+05 J
-e) 7.028E+05 J

8) When a 7.78 V battery operates a 1.35 W bulb, how many electrons pass through it each second?

-a) 7.397E+17 electrons
-b) 8.137E+17 electrons
-c) 8.951E+17 electrons
-d) 9.846E+17 electrons
+e) 1.083E+18 electrons

9) If a 26 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=21 V is x2 + y2 + z2 = R2, where R=

-a) 8.360E+00 m
-b) 9.196E+00 m
-c) 1.012E+01 m
+d) 1.113E+01 m
-e) 1.224E+01 m

10) The same parallel plate capacitor, with area 1.05 m2, plate separation 0.63mm, and an applied voltage of 4.35 kV. How much charge is stored?

-a) 42.21 μC.
-b) 48.54 μC.
-c) 55.82 μC.
+d) 64.19 μC.
-e) 73.82 μC.

### Key: Z0

1) Assume that a 17 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (12 cm, 15°).

+a) 4.244E+02 V
-b) 4.669E+02 V
-c) 5.135E+02 V
-d) 5.649E+02 V
-e) 6.214E+02 V

2) When a 4.89 V battery operates a 1.44 W bulb, how many electrons pass through it each second?

+a) 1.838E+18 electrons
-b) 2.022E+18 electrons
-c) 2.224E+18 electrons
-d) 2.446E+18 electrons
-e) 2.691E+18 electrons
3)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 7.982E+01 J
+b) 8.780E+01 J
-c) 9.658E+01 J
-d) 1.062E+02 J
-e) 1.169E+02 J
4)
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
-a) 6.750E+00 μJ
-b) 7.425E+00 μJ
+c) 8.168E+00 μJ
-d) 8.984E+00 μJ
-e) 9.883E+00 μJ
5)
In the figure shown C1=17.8 μF, C2=2.22 μF, and C3=5.71 μF. The voltage source provides ε=13.9 V. What is the charge on C1?
+a) 7.625E+01 μC
-b) 8.388E+01 μC
-c) 9.227E+01 μC
-d) 1.015E+02 μC
-e) 1.116E+02 μC

6) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

-a) 3180 N.
+b) 3657 N.
-c) 4206 N.
-d) 4837 N.
-e) 5562 N.

7) A parallel plate capacitor has both plates with an area of 0.55 m2. The separation between the plates is 0.53mm. Applied to the plates is a potential difference of 4.25 kV. What is the capacitance?

-a) 6.95 nF.
-b) 7.99 nF.
+c) 9.19 nF.
-d) 10.57 nF.
-e) 12.15 nF.

8) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the energy stored in the capacitor if the plates are 0.5 mm apart?

+a) 1.81 J.
-b) 2.08 J.
-c) 2.39 J.
-d) 2.75 J.
-e) 3.16 J.

9) How fast is a 2758 eV electron moving?

-a) 9.2 x 106 m/s.
-b) 1.4 x 107 m/s.
-c) 2.1 x 107 m/s.
+d) 3.1 x 107 m/s.
-e) 4.7 x 107 m/s.

10) What voltage is required to stop a proton moving at a speed of 7.6 x 106 m/s?

+a) 3 x 105 volts
-b) 4.5 x 105 volts
-c) 6.8 x 105 volts
-d) 1 x 106 volts
-e) 1.5 x 106 volts

#### Key: Z1

1) How fast is a 2355 eV electron moving?

-a) 1.9 x 107 m/s.
+b) 2.9 x 107 m/s.
-c) 4.3 x 107 m/s.
-d) 6.5 x 107 m/s.
-e) 9.7 x 107 m/s.
2)
In the figure shown C1=17.7 μF, C2=2.5 μF, and C3=5.0 μF. The voltage source provides ε=12.8 V. What is the charge on C1?
-a) 5.066E+01 μC
-b) 5.573E+01 μC
-c) 6.130E+01 μC
+d) 6.743E+01 μC
-e) 7.417E+01 μC

3) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the force between the plates if they are 0.6 mm apart?

-a) 2381 N.
-b) 2738 N.
+c) 3149 N.
-d) 3621 N.
-e) 4164 N.
4)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 2.300E+01 J
-b) 2.530E+01 J
-c) 2.783E+01 J
+d) 3.061E+01 J
-e) 3.367E+01 J

5) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

-a) 3.28 nF.
-b) 3.77 nF.
+c) 4.34 nF.
-d) 4.99 nF.
-e) 5.74 nF.

6) Assume that a 22 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (12 cm, 53°).

+a) 5.492E+02 V
-b) 6.042E+02 V
-c) 6.646E+02 V
-d) 7.310E+02 V
-e) 8.041E+02 V

7) What voltage is required to stop a proton moving at a speed of 3.9 x 103 m/s?

-a) 3.5 x 10-2 volts
-b) 5.3 x 10-2 volts
+c) 7.9 x 10-2 volts
-d) 1.2 x 10-1 volts
-e) 1.8 x 10-1 volts
8)
In the figure shown C1=16.9 μF, C2=2.86 μF, and C3=5.1 μF. The voltage source provides ε=9.98 V. What is the energy stored in C2?
-a) 1.764E+01 μJ
+b) 1.940E+01 μJ
-c) 2.134E+01 μJ
-d) 2.348E+01 μJ
-e) 2.583E+01 μJ

9) When a 3.8 V battery operates a 1.67 W bulb, how many electrons pass through it each second?

-a) 1.873E+18 electrons
-b) 2.061E+18 electrons
-c) 2.267E+18 electrons
-d) 2.494E+18 electrons
+e) 2.743E+18 electrons

10) A 1.4 Farad capacitor charged with 2.3 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

-a) 1.08 J.
-b) 1.24 J.
-c) 1.43 J.
-d) 1.64 J.
+e) 1.89 J.

#### Key: Z2

1)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
-a) 5.178E+01 J
+b) 5.696E+01 J
-c) 6.266E+01 J
-d) 6.892E+01 J
-e) 7.582E+01 J
2)
In the figure shown C1=17.7 μF, C2=2.48 μF, and C3=4.68 μF. The voltage source provides ε=12.7 V. What is the energy stored in C2?
+a) 2.242E+01 μJ
-b) 2.467E+01 μJ
-c) 2.713E+01 μJ
-d) 2.985E+01 μJ
-e) 3.283E+01 μJ

3) How fast is a 2493 eV electron moving?

-a) 1.3 x 107 m/s.
-b) 2 x 107 m/s.
+c) 3 x 107 m/s.
-d) 4.4 x 107 m/s.
-e) 6.7 x 107 m/s.
4)
In the figure shown C1=17.9 μF, C2=2.71 μF, and C3=4.14 μF. The voltage source provides ε=7.12 V. What is the charge on C1?
+a) 3.527E+01 μC
-b) 3.880E+01 μC
-c) 4.268E+01 μC
-d) 4.695E+01 μC
-e) 5.164E+01 μC

5) A 1.2 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.4 mm apart?

-a) 0.81 J.
-b) 0.93 J.
+c) 1.07 J.
-d) 1.23 J.
-e) 1.41 J.

6) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?

-a) 1.749E+18 electrons
-b) 1.924E+18 electrons
-c) 2.117E+18 electrons
+d) 2.328E+18 electrons
-e) 2.561E+18 electrons

7) What voltage is required to stop a proton moving at a speed of 8.1 x 104 m/s?

+a) 3.4 x 101 volts
-b) 5.1 x 101 volts
-c) 7.7 x 101 volts
-d) 1.2 x 102 volts
-e) 1.7 x 102 volts

8) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

-a) 3180 N.
+b) 3657 N.
-c) 4206 N.
-d) 4837 N.
-e) 5562 N.

9) Assume that a 25 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (5 cm, 0°) and P2 is at (13 cm, 70°).

-a) 2.285E+03 V
-b) 2.514E+03 V
+c) 2.765E+03 V
-d) 3.042E+03 V
-e) 3.346E+03 V

10) A parallel plate capacitor has both plates with an area of 0.75 m2. The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 5.05 kV. What is the capacitance?

-a) 3.28 nF.
-b) 3.77 nF.
+c) 4.34 nF.
-d) 4.99 nF.
-e) 5.74 nF.