Quizbank/University Physics Semester 2/T6

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University Physics Semester 2/T6 ID153341821922

For more information visit Quizbank/University Physics Semester 2

Exams:  A0  A1  A2   B0  B1  B2   C0  C1  C2   D0  D1  D2   E0  E1  E2   F0  F1  F2   G0  G1  G2   H0  H1  H2   I0  I1  I2   J0  J1  J2   K0  K1  K2   L0  L1  L2   M0  M1  M2   N0  N1  N2   O0  O1  O2   P0  P1  P2   Q0  Q1  Q2   R0  R1  R2   S0  S1  S2   T0  T1  T2   U0  U1  U2   V0  V1  V2   W0  W1  W2   X0  X1  X2   Y0  Y1  Y2   Z0  Z1  Z2  

Answers:   A0  A1  A2   B0  B1  B2   C0  C1  C2   D0  D1  D2   E0  E1  E2   F0  F1  F2   G0  G1  G2   H0  H1  H2   I0  I1  I2   J0  J1  J2   K0  K1  K2   L0  L1  L2   M0  M1  M2   N0  N1  N2   O0  O1  O2   P0  P1  P2   Q0  Q1  Q2   R0  R1  R2   S0  S1  S2   T0  T1  T2   U0  U1  U2   V0  V1  V2   W0  W1  W2   X0  X1  X2   Y0  Y1  Y2   Z0  Z1  Z2  

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.

Links:   Quizbank/Instructions   Study guide   file:QB-University Physics Semester 2-T6.pdf

Contact me at User talk:Guy vandegrift if you need any help.

T6 A0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 1.028E-14 N
b) 1.130E-14 N
c) 1.244E-14 N
d) 1.368E-14 N
e) 1.505E-14 N

2) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=8, y=0), (x=0, y=6), and (x=8, y=6), where x and y are measured in meters. The electric field is,

a) 2.694E+03 V·m
b) 2.963E+03 V·m
c) 3.259E+03 V·m
d) 3.585E+03 V·m
e) 3.944E+03 V·m

3) A non-conducting sphere of radius R=3.8 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.5 (r≤R) where a=2 nC·m-1.5. What is the magnitude of the electric field at a distance of 3.0 m from the center?

a) 7.825E+02 N/C
b) 8.607E+02 N/C
c) 9.468E+02 N/C
d) 1.041E+03 N/C
e) 1.146E+03 N/C

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 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
6)
Three cappies openstax example.svg
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 device requires consumes 81 W of power and requires 2.34 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

a) 3.342E+05 A/m2
b) 3.677E+05 A/m2
c) 4.044E+05 A/m2
d) 4.449E+05 A/m2
e) 4.894E+05 A/m2

8) What is the average current involved when a truck battery sets in motion 775 C of charge in 2.9 s while starting an engine?

a) 2.209E+02 A
b) 2.429E+02 A
c) 2.672E+02 A
d) 2.940E+02 A
e) 3.234E+02 A

9) A given battery has a 13 V emf and an internal resistance of 0.113 Ω. If it is connected to a 0.686 Ω resistor what is the power dissipated by that load?

a) 1.501E+02 W
b) 1.651E+02 W
c) 1.816E+02 W
d) 1.998E+02 W
e) 2.197E+02 W
10)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.54 Ω, R2= 0.927 Ω, and R2= 2.46 Ω. V1 and V3 are text 0.632 V and 2.12 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.586 V. What is the absolute value of the current through R1?
a) 1.770E-01 A
b) 1.947E-01 A
c) 2.141E-01 A
d) 2.355E-01 A
e) 2.591E-01 A

T6 A1[edit]

1) Assume that a 24 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, 27°).

a) 5.540E+02 V
b) 6.095E+02 V
c) 6.704E+02 V
d) 7.374E+02 V
e) 8.112E+02 V
2)
Three cappies openstax example.svg
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

3) A non-conducting sphere of radius R=3.3 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.4 (r≤R) where a=2 nC·m-1.6. What is the magnitude of the electric field at a distance of 1.5 m from the center?

a) 1.123E+02 N/C
b) 1.235E+02 N/C
c) 1.358E+02 N/C
d) 1.494E+02 N/C
e) 1.644E+02 N/C

4) A device requires consumes 185 W of power and requires 10.1 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

a) 1.920E+06 A/m2
b) 2.112E+06 A/m2
c) 2.323E+06 A/m2
d) 2.556E+06 A/m2
e) 2.811E+06 A/m2
5)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.6 Ω, R2= 1.3 Ω, and R2= 2.22 Ω. V1 and V3 are text 0.55 V and 3.18 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.743 V. What is the absolute value of the current through R1?
a) 1.721E-01 A
b) 1.893E-01 A
c) 2.082E-01 A
d) 2.291E-01 A
e) 2.520E-01 A

6) What is the average current involved when a truck battery sets in motion 622 C of charge in 5.69 s while starting an engine?

a) 9.034E+01 A
b) 9.938E+01 A
c) 1.093E+02 A
d) 1.202E+02 A
e) 1.323E+02 A

7) A given battery has a 11 V emf and an internal resistance of 0.0998 Ω. If it is connected to a 0.417 Ω resistor what is the power dissipated by that load?

a) 1.419E+02 W
b) 1.561E+02 W
c) 1.717E+02 W
d) 1.889E+02 W
e) 2.078E+02 W
8)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 4.171E-14 N
b) 4.588E-14 N
c) 5.047E-14 N
d) 5.551E-14 N
e) 6.107E-14 N

9) 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

10) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=4), and (x=7, y=4), where x and y are measured in meters. The electric field is,

a) 2.610E+03 V·m
b) 2.871E+03 V·m
c) 3.158E+03 V·m
d) 3.474E+03 V·m
e) 3.822E+03 V·m

T6 A2[edit]

1) A non-conducting sphere of radius R=3.5 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.2 (r≤R) where a=2 nC·m-1.8. What is the magnitude of the electric field at a distance of 2.3 m from the center?

a) 2.777E+02 N/C
b) 3.055E+02 N/C
c) 3.361E+02 N/C
d) 3.697E+02 N/C
e) 4.066E+02 N/C

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)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.1 Ω, R2= 1.55 Ω, and R2= 2.11 Ω. V1 and V3 are text 0.545 V and 3.22 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.744 V. What is the absolute value of the current through R1?
a) 1.886E-01 A
b) 2.075E-01 A
c) 2.282E-01 A
d) 2.510E-01 A
e) 2.761E-01 A

4) A device requires consumes 126 W of power and requires 1.11 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

a) 2.110E+05 A/m2
b) 2.321E+05 A/m2
c) 2.553E+05 A/m2
d) 2.809E+05 A/m2
e) 3.090E+05 A/m2

5) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=8, y=0), (x=0, y=8), and (x=8, y=8), where x and y are measured in meters. The electric field is,

a) 3.429E+03 V·m
b) 3.771E+03 V·m
c) 4.149E+03 V·m
d) 4.564E+03 V·m
e) 5.020E+03 V·m

6) A given battery has a 12 V emf and an internal resistance of 0.107 Ω. If it is connected to a 0.814 Ω resistor what is the power dissipated by that load?

a) 1.382E+02 W
b) 1.520E+02 W
c) 1.672E+02 W
d) 1.839E+02 W
e) 2.023E+02 W
7)
Three cappies openstax example.svg
What is the net capacitance if C1=3.27 μF, C2=2.87 μF, and C3=3.23 μF in the configuration shown?
a) 3.250E+00 μF
b) 3.575E+00 μF
c) 3.933E+00 μF
d) 4.326E+00 μF
e) 4.758E+00 μF

8) What is the average current involved when a truck battery sets in motion 821 C of charge in 5.51 s while starting an engine?

a) 1.231E+02 A
b) 1.355E+02 A
c) 1.490E+02 A
d) 1.639E+02 A
e) 1.803E+02 A
9)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 1.028E-14 N
b) 1.130E-14 N
c) 1.244E-14 N
d) 1.368E-14 N
e) 1.505E-14 N

10) 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 (8 cm, 0°) and P2 is at (14 cm, 34°).

a) 2.626E+02 V
b) 2.889E+02 V
c) 3.178E+02 V
d) 3.496E+02 V
e) 3.845E+02 V

T6 B0[edit]

1)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=0.79 m if a=0.75 m, b=2.1 m. The total charge on the rod is 6 nC.
a) 5.825E+00 V/m2
b) 6.407E+00 V/m2
c) 7.048E+00 V/m2
d) 7.753E+00 V/m2
e) 8.528E+00 V/m2

2) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 2.0 nano-Coulombs. What is the magnitude of the electric field at a distance of 3.7 m from the center of the shells?

a) 2.964E+00 N/C
b) 3.260E+00 N/C
c) 3.586E+00 N/C
d) 3.944E+00 N/C
e) 4.339E+00 N/C
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.1 m. The other four surfaces are rectangles in y=y0=1.1 m, y=y1=5.3 m, z=z0=1.1 m, and z=z1=4.3 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 8.8m2 ,and those in the zx plane have area 6.7m2. An electric field of magnitude 10 N/C has components in the y and z directions and is directed at 39° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.924E+01 N·m2/C
b) 4.316E+01 N·m2/C
c) 4.748E+01 N·m2/C
d) 5.222E+01 N·m2/C
e) 5.745E+01 N·m2/C
4)
Bandgenerator cropped.svg
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 5.65 V battery operates a 2.73 W bulb, how many electrons pass through it each second?

a) 3.016E+18 electrons
b) 3.317E+18 electrons
c) 3.649E+18 electrons
d) 4.014E+18 electrons
e) 4.415E+18 electrons
6)
Three cappies openstax example.svg
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

7) A make-believe metal has a density of 1.580E+04 kg/m3 and an atomic mass of 41.5 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 2.292E+29 e/m3
b) 2.521E+29 e/m3
c) 2.773E+29 e/m3
d) 3.051E+29 e/m3
e) 3.356E+29 e/m3

8) What is the average current involved when a truck battery sets in motion 775 C of charge in 2.9 s while starting an engine?

a) 2.209E+02 A
b) 2.429E+02 A
c) 2.672E+02 A
d) 2.940E+02 A
e) 3.234E+02 A

9) A battery with a terminal voltage of 8.01 V is connected to a circuit consisting of 3 22.1 Ω resistors and one 14.5 Ω resistor. What is the voltage drop across the 14.5 Ω resistor?

a) 9.818E-01 V
b) 1.080E+00 V
c) 1.188E+00 V
d) 1.307E+00 V
e) 1.437E+00 V
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=58.5 V, and ε2=17.3 V are oriented as shownin the circuit. The resistances are R1=3.06 kΩ and R2=1.88 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=5.25 mA and I4=1.25 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 1.981E+01 V
b) 2.179E+01 V
c) 2.397E+01 V
d) 2.637E+01 V
e) 2.901E+01 V

T6 B1[edit]

1) A make-believe metal has a density of 2.670E+03 kg/m3 and an atomic mass of 40.9 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 3.930E+28 e/m3
b) 4.323E+28 e/m3
c) 4.755E+28 e/m3
d) 5.231E+28 e/m3
e) 5.754E+28 e/m3
2)
Kirchhoff loop w external current.svg
Two sources of emf ε1=40.7 V, and ε2=12.3 V are oriented as shownin the circuit. The resistances are R1=3.5 kΩ and R2=1.94 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.42 mA and I4=0.932 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 1.440E+01 V
b) 1.584E+01 V
c) 1.742E+01 V
d) 1.916E+01 V
e) 2.108E+01 V
3)
Bandgenerator cropped.svg
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) 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

5) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 Ω resistors and one 9.58 Ω resistor. What is the voltage drop across the 9.58 Ω resistor?

a) 1.677E+00 V
b) 1.844E+00 V
c) 2.029E+00 V
d) 2.231E+00 V
e) 2.455E+00 V
6)
Three cappies openstax example.svg
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
7)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.5 m, z=z0=1.7 m, and z=z1=5.1 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 9.9m2 ,and those in the zx plane have area 7.8m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 58° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.698E+01 N·m2/C
b) 1.868E+01 N·m2/C
c) 2.055E+01 N·m2/C
d) 2.260E+01 N·m2/C
e) 2.486E+01 N·m2/C

8) What is the average current involved when a truck battery sets in motion 728 C of charge in 3.94 s while starting an engine?

a) 1.848E+02 A
b) 2.032E+02 A
c) 2.236E+02 A
d) 2.459E+02 A
e) 2.705E+02 A
9)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.0 m if a=1.1 m, b=1.4 m. The total charge on the rod is 5 nC.
a) 4.602E+00 V/m2
b) 5.062E+00 V/m2
c) 5.568E+00 V/m2
d) 6.125E+00 V/m2
e) 6.738E+00 V/m2

10) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 6.5 nano-Coulombs. What is the magnitude of the electric field at a distance of 1.3 m from the center of the shells?

a) 2.601E+01 N/C
b) 2.861E+01 N/C
c) 3.147E+01 N/C
d) 3.462E+01 N/C
e) 3.808E+01 N/C

T6 B2[edit]

1)
Bandgenerator cropped.svg
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

2) 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

3) What is the average current involved when a truck battery sets in motion 821 C of charge in 5.51 s while starting an engine?

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

4) A battery with a terminal voltage of 8.41 V is connected to a circuit consisting of 3 16.1 Ω resistors and one 10.9 Ω resistor. What is the voltage drop across the 10.9 Ω resistor?

a) 1.058E+00 V
b) 1.163E+00 V
c) 1.280E+00 V
d) 1.408E+00 V
e) 1.548E+00 V
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.9 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=5.1 m, z=z0=1.3 m, and z=z1=4.7 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 6.6m2 ,and those in the zx plane have area 6.5m2. An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 46° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 5.385E+01 N·m2/C
b) 5.923E+01 N·m2/C
c) 6.516E+01 N·m2/C
d) 7.167E+01 N·m2/C
e) 7.884E+01 N·m2/C
6)
Three cappies openstax example.svg
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
7)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.0 m if a=1.1 m, b=1.4 m. The total charge on the rod is 5 nC.
a) 4.602E+00 V/m2
b) 5.062E+00 V/m2
c) 5.568E+00 V/m2
d) 6.125E+00 V/m2
e) 6.738E+00 V/m2
8)
Kirchhoff loop w external current.svg
Two sources of emf ε1=27.9 V, and ε2=11.1 V are oriented as shownin the circuit. The resistances are R1=2.82 kΩ and R2=2.25 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.1 mA and I4=0.676 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 8.334E+00 V
b) 9.167E+00 V
c) 1.008E+01 V
d) 1.109E+01 V
e) 1.220E+01 V

9) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 5.6 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.6 m from the center of the shells?

a) 6.641E+00 N/C
b) 7.305E+00 N/C
c) 8.036E+00 N/C
d) 8.839E+00 N/C
e) 9.723E+00 N/C

10) A make-believe metal has a density of 1.300E+04 kg/m3 and an atomic mass of 75.7 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 9.398E+28 e/m3
b) 1.034E+29 e/m3
c) 1.137E+29 e/m3
d) 1.251E+29 e/m3
e) 1.376E+29 e/m3

T6 C0[edit]

1)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=0.79 m if a=0.75 m, b=2.1 m. The total charge on the rod is 6 nC.
a) 5.825E+00 V/m2
b) 6.407E+00 V/m2
c) 7.048E+00 V/m2
d) 7.753E+00 V/m2
e) 8.528E+00 V/m2

2) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 4.7 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.2 m from the center of the shells?

a) 9.592E+00 N/C
b) 1.055E+01 N/C
c) 1.161E+01 N/C
d) 1.277E+01 N/C
e) 1.404E+01 N/C

3) A non-conducting sphere of radius R=3.8 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.5 (r≤R) where a=2 nC·m-1.5. What is the magnitude of the electric field at a distance of 3.0 m from the center?

a) 7.825E+02 N/C
b) 8.607E+02 N/C
c) 9.468E+02 N/C
d) 1.041E+03 N/C
e) 1.146E+03 N/C

4) 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
5)
Four charges at corners of rectangle.svg
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
6)
Three cappies openstax example.svg
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

7) A make-believe metal has a density of 1.430E+04 kg/m3 and an atomic mass of 37.8 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 1.882E+29 e/m3
b) 2.070E+29 e/m3
c) 2.277E+29 e/m3
d) 2.505E+29 e/m3
e) 2.756E+29 e/m3

8) Calculate the drift speed of electrons in a copper wire with a diameter of 4.38 mm carrying a 5.79 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 2.615E-05 m/s
b) 2.876E-05 m/s
c) 3.164E-05 m/s
d) 3.480E-05 m/s
e) 3.828E-05 m/s
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=38.9 V, and ε2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 kΩ and R2=2.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 7.031E+00 V
b) 7.734E+00 V
c) 8.507E+00 V
d) 9.358E+00 V
e) 1.029E+01 V
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=13.6 V, and ε2=6.53 V are oriented as shownin the circuit. The resistances are R1=2.89 kΩ and R2=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.11 mA and I4=0.311 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 7.264E-01 mA
b) 7.990E-01 mA
c) 8.789E-01 mA
d) 9.668E-01 mA
e) 1.063E+00 mA

T6 C1[edit]

1)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=0.79 m if a=0.75 m, b=2.1 m. The total charge on the rod is 6 nC.
a) 5.825E+00 V/m2
b) 6.407E+00 V/m2
c) 7.048E+00 V/m2
d) 7.753E+00 V/m2
e) 8.528E+00 V/m2
2)
Four charges at corners of rectangle.svg
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=5 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 3.444E+01 J
b) 3.789E+01 J
c) 4.168E+01 J
d) 4.585E+01 J
e) 5.043E+01 J

3) Calculate the drift speed of electrons in a copper wire with a diameter of 4.9 mm carrying a 6.43 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 2.109E-05 m/s
b) 2.320E-05 m/s
c) 2.552E-05 m/s
d) 2.807E-05 m/s
e) 3.088E-05 m/s
4)
Three cappies openstax example.svg
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)
Kirchhoff loop w external current.svg
Two sources of emf ε1=24.8 V, and ε2=10.3 V are oriented as shownin the circuit. The resistances are R1=2.19 kΩ and R2=1.6 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.49 mA and I4=0.83 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.660E+00 mA
b) 1.826E+00 mA
c) 2.009E+00 mA
d) 2.209E+00 mA
e) 2.430E+00 mA

6) A make-believe metal has a density of 1.810E+04 kg/m3 and an atomic mass of 14.0 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 5.847E+29 e/m3
b) 6.432E+29 e/m3
c) 7.075E+29 e/m3
d) 7.783E+29 e/m3
e) 8.561E+29 e/m3
7)
Kirchhoff loop w external current.svg
Two sources of emf ε1=30.3 V, and ε2=8.6 V are oriented as shownin the circuit. The resistances are R1=3.81 kΩ and R2=2.39 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.38 mA and I4=0.416 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 8.945E+00 V
b) 9.840E+00 V
c) 1.082E+01 V
d) 1.191E+01 V
e) 1.310E+01 V

8) A non-conducting sphere of radius R=3.5 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.5 (r≤R) where a=2 nC·m-1.5. What is the magnitude of the electric field at a distance of 2.2 m from the center?

a) 3.604E+02 N/C
b) 3.964E+02 N/C
c) 4.360E+02 N/C
d) 4.796E+02 N/C
e) 5.276E+02 N/C

9) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 4.7 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.2 m from the center of the shells?

a) 9.592E+00 N/C
b) 1.055E+01 N/C
c) 1.161E+01 N/C
d) 1.277E+01 N/C
e) 1.404E+01 N/C

10) 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

T6 C2[edit]

1) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 2.8 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.8 m from the center of the shells?

a) 2.988E+00 N/C
b) 3.287E+00 N/C
c) 3.616E+00 N/C
d) 3.977E+00 N/C
e) 4.375E+00 N/C
2)
Four charges at corners of rectangle.svg
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) 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

4) A non-conducting sphere of radius R=1.2 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.6 (r≤R) where a=2 nC·m-1.4. What is the magnitude of the electric field at a distance of 0.76 m from the center?

a) 2.406E+01 N/C
b) 2.646E+01 N/C
c) 2.911E+01 N/C
d) 3.202E+01 N/C
e) 3.522E+01 N/C

5) A make-believe metal has a density of 3.470E+03 kg/m3 and an atomic mass of 33.8 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 6.180E+28 e/m3
b) 6.798E+28 e/m3
c) 7.478E+28 e/m3
d) 8.226E+28 e/m3
e) 9.049E+28 e/m3
6)
Kirchhoff loop w external current.svg
Two sources of emf ε1=39.2 V, and ε2=12.6 V are oriented as shownin the circuit. The resistances are R1=3.86 kΩ and R2=1.89 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.05 mA and I4=0.701 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 8.687E+00 V
b) 9.555E+00 V
c) 1.051E+01 V
d) 1.156E+01 V
e) 1.272E+01 V
7)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate at x=0.96 m if a=0.63 m, b=1.4 m. The total charge on the rod is 3 nC.
a) 3.719E+00 V/m2
b) 4.091E+00 V/m2
c) 4.500E+00 V/m2
d) 4.950E+00 V/m2
e) 5.445E+00 V/m2

8) Calculate the drift speed of electrons in a copper wire with a diameter of 5.47 mm carrying a 3.48 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 1.008E-05 m/s
b) 1.108E-05 m/s
c) 1.219E-05 m/s
d) 1.341E-05 m/s
e) 1.475E-05 m/s
9)
Three cappies openstax example.svg
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
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=36.3 V, and ε2=12.9 V are oriented as shownin the circuit. The resistances are R1=4.28 kΩ and R2=1.58 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.16 mA and I4=1.2 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 2.224E+00 mA
b) 2.446E+00 mA
c) 2.691E+00 mA
d) 2.960E+00 mA
e) 3.256E+00 mA

T6 D0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.569E+01 degrees
b) 6.125E+01 degrees
c) 6.738E+01 degrees
d) 7.412E+01 degrees
e) 8.153E+01 degrees
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.7 m, z=z0=1.2 m, and z=z1=4.1 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 6.6m2 ,and those in the zx plane have area 5.8m2. An electric field has the xyz components (0, 8.4, 5.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.328E+01 N·m2/C
b) 3.660E+01 N·m2/C
c) 4.026E+01 N·m2/C
d) 4.429E+01 N·m2/C
e) 4.872E+01 N·m2/C
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.8 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.9 m, z=z0=1.3 m, and z=z1=5.2 m. The surfaces in the yz plane each have area 18.0m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 7.0m2. An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 49° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.777E+01 N·m2/C
b) 5.254E+01 N·m2/C
c) 5.780E+01 N·m2/C
d) 6.358E+01 N·m2/C
e) 6.993E+01 N·m2/C

4) 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

5) 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
6)
DC circuit 3 cappies1 voltage source.svg
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

7) Calculate the resistance of a 12-gauge copper wire that is 69 m long and carries a current of 98 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.631E-01 Ω
b) 2.894E-01 Ω
c) 3.184E-01 Ω
d) 3.502E-01 Ω
e) 3.852E-01 Ω

8) What is consumer cost to operate one 76−W incandescent bulb for 9 hours per day for 1 year (365 days) if the cost of electricity is $0.144 per kilowatt-hour?

a) $3.595E+01
b) $3.955E+01
c) $4.350E+01
d) $4.785E+01
e) $5.264E+01

9) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 Ω resistors and one 9.58 Ω resistor. What is the voltage drop across the 9.58 Ω resistor?

a) 1.677E+00 V
b) 1.844E+00 V
c) 2.029E+00 V
d) 2.231E+00 V
e) 2.455E+00 V

10) Three resistors, R1 = 1.43 Ω, and R2 = R2 = 3.25 Ω, are connected in parallel to a 9.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 5.184E+01 W
b) 5.702E+01 W
c) 6.272E+01 W
d) 6.900E+01 W
e) 7.590E+01 W

T6 D1[edit]

1) Three resistors, R1 = 1.31 Ω, and R2 = R2 = 2.91 Ω, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 2.294E+01 W
b) 2.523E+01 W
c) 2.776E+01 W
d) 3.053E+01 W
e) 3.359E+01 W

2) Calculate the resistance of a 12-gauge copper wire that is 81 m long and carries a current of 32 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 3.737E-01 Ω
b) 4.111E-01 Ω
c) 4.522E-01 Ω
d) 4.975E-01 Ω
e) 5.472E-01 Ω

3) What is consumer cost to operate one 87−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.117 per kilowatt-hour?

a) $2.791E+01
b) $3.071E+01
c) $3.378E+01
d) $3.715E+01
e) $4.087E+01

4) 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
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.8 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=4.2 m, z=z0=1.9 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 10.0m2. Those in the xy plane have area 8.1m2 ,and those in the zx plane have area 10.0m2. An electric field has the xyz components (0, 8.5, 6.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 7.081E+01 N·m2/C
b) 7.789E+01 N·m2/C
c) 8.568E+01 N·m2/C
d) 9.425E+01 N·m2/C
e) 1.037E+02 N·m2/C
6)
DC circuit 3 cappies1 voltage source.svg
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

7) A battery with a terminal voltage of 7.82 V is connected to a circuit consisting of 2 19.3 Ω resistors and one 12.2 Ω resistor. What is the voltage drop across the 12.2 Ω resistor?

a) 1.552E+00 V
b) 1.707E+00 V
c) 1.878E+00 V
d) 2.066E+00 V
e) 2.272E+00 V
8)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.569E+01 degrees
b) 6.125E+01 degrees
c) 6.738E+01 degrees
d) 7.412E+01 degrees
e) 8.153E+01 degrees

9) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?

a) 3.799E-01 mm
b) 4.368E-01 mm
c) 5.024E-01 mm
d) 5.777E-01 mm
e) 6.644E-01 mm
10)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.8 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.7 m, z=z0=1.8 m, and z=z1=4.7 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 9.2m2 ,and those in the zx plane have area 8.1m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 32° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.134E+01 N·m2/C
b) 2.347E+01 N·m2/C
c) 2.582E+01 N·m2/C
d) 2.840E+01 N·m2/C
e) 3.124E+01 N·m2/C

T6 D2[edit]

1)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.5 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=5.3 m, z=z0=1.3 m, and z=z1=4.3 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 10.0m2 ,and those in the zx plane have area 7.5m2. An electric field has the xyz components (0, 9.7, 9.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.614E+01 N·m2/C
b) 7.275E+01 N·m2/C
c) 8.003E+01 N·m2/C
d) 8.803E+01 N·m2/C
e) 9.683E+01 N·m2/C

2) Calculate the resistance of a 12-gauge copper wire that is 13 m long and carries a current of 22 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 4.957E-02 Ω
b) 5.453E-02 Ω
c) 5.998E-02 Ω
d) 6.598E-02 Ω
e) 7.258E-02 Ω

3) A battery with a terminal voltage of 13.2 V is connected to a circuit consisting of 3 15.7 Ω resistors and one 10.3 Ω resistor. What is the voltage drop across the 10.3 Ω resistor?

a) 1.958E+00 V
b) 2.153E+00 V
c) 2.369E+00 V
d) 2.606E+00 V
e) 2.866E+00 V

4) 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

5) Three resistors, R1 = 1.2 Ω, and R2 = R2 = 2.75 Ω, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 2.581E+01 W
b) 2.839E+01 W
c) 3.122E+01 W
d) 3.435E+01 W
e) 3.778E+01 W

6) What is consumer cost to operate one 87−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.117 per kilowatt-hour?

a) $2.791E+01
b) $3.071E+01
c) $3.378E+01
d) $3.715E+01
e) $4.087E+01
7)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.6 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.4 m, z=z0=1.4 m, and z=z1=5.6 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 9.6m2 ,and those in the zx plane have area 11.0m2. An electric field of magnitude 15 N/C has components in the y and z directions and is directed at 33° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 8.921E+01 N·m2/C
b) 9.813E+01 N·m2/C
c) 1.079E+02 N·m2/C
d) 1.187E+02 N·m2/C
e) 1.306E+02 N·m2/C
8)
DC circuit 3 cappies1 voltage source.svg
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
9)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 6.125E+01 degrees
b) 6.738E+01 degrees
c) 7.412E+01 degrees
d) 8.153E+01 degrees
e) 8.968E+01 degrees

10) 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

T6 E0[edit]

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 5.134E-01 V/m2
b) 5.648E-01 V/m2
c) 6.212E-01 V/m2
d) 6.834E-01 V/m2
e) 7.517E-01 V/m2
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.4 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=5.6 m, z=z0=1.7 m, and z=z1=4.5 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 6.0m2 ,and those in the zx plane have area 3.9m2. An electric field has the xyz components (0, 6.5, 9.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.740E+01 N·m2/C
b) 1.914E+01 N·m2/C
c) 2.106E+01 N·m2/C
d) 2.316E+01 N·m2/C
e) 2.548E+01 N·m2/C

3) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 3.4 nano-Coulombs. What is the magnitude of the electric field at a distance of 2.8 m from the center of the shells?

a) 5.865E+00 N/C
b) 6.451E+00 N/C
c) 7.096E+00 N/C
d) 7.806E+00 N/C
e) 8.587E+00 N/C

4) 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
5)
VFPt dipole electric manylines cropped.svg
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
6)
DC circuit 3 cappies1 voltage source.svg
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

7) A make-believe metal has a density of 3.530E+03 kg/m3 and an atomic mass of 10.5 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 1.673E+29 e/m3
b) 1.840E+29 e/m3
c) 2.024E+29 e/m3
d) 2.226E+29 e/m3
e) 2.449E+29 e/m3

8) Calculate the resistance of a 12-gauge copper wire that is 52 m long and carries a current of 99 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 1.983E-01 Ω
b) 2.181E-01 Ω
c) 2.399E-01 Ω
d) 2.639E-01 Ω
e) 2.903E-01 Ω

9) A given battery has a 14 V emf and an internal resistance of 0.192 Ω. If it is connected to a 0.766 Ω resistor what is the power dissipated by that load?

a) 1.229E+02 W
b) 1.352E+02 W
c) 1.487E+02 W
d) 1.636E+02 W
e) 1.799E+02 W
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=31.0 V, and ε2=10.0 V are oriented as shownin the circuit. The resistances are R1=4.22 kΩ and R2=1.37 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.32 mA and I4=1.03 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 2.290E+00 mA
b) 2.519E+00 mA
c) 2.771E+00 mA
d) 3.048E+00 mA
e) 3.353E+00 mA

T6 E1[edit]

1) Calculate the resistance of a 12-gauge copper wire that is 13 m long and carries a current of 22 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 4.957E-02 Ω
b) 5.453E-02 Ω
c) 5.998E-02 Ω
d) 6.598E-02 Ω
e) 7.258E-02 Ω

2) A given battery has a 14 V emf and an internal resistance of 0.192 Ω. If it is connected to a 0.766 Ω resistor what is the power dissipated by that load?

a) 1.229E+02 W
b) 1.352E+02 W
c) 1.487E+02 W
d) 1.636E+02 W
e) 1.799E+02 W
3)
Kirchhoff loop w external current.svg
Two sources of emf ε1=24.9 V, and ε2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.32 kΩ and R2=2.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.74 mA and I4=0.444 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.725E+00 mA
b) 1.898E+00 mA
c) 2.087E+00 mA
d) 2.296E+00 mA
e) 2.526E+00 mA

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 1.258E+00 V/m2
b) 1.384E+00 V/m2
c) 1.522E+00 V/m2
d) 1.674E+00 V/m2
e) 1.842E+00 V/m2
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.1 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=4.2 m, z=z0=1.1 m, and z=z1=4.5 m. The surfaces in the yz plane each have area 8.5m2. Those in the xy plane have area 2.8m2 ,and those in the zx plane have area 3.7m2. An electric field has the xyz components (0, 7.4, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.079E+01 N·m2/C
b) 2.287E+01 N·m2/C
c) 2.516E+01 N·m2/C
d) 2.768E+01 N·m2/C
e) 3.044E+01 N·m2/C

6) A make-believe metal has a density of 3.230E+03 kg/m3 and an atomic mass of 116.0 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 1.385E+28 e/m3
b) 1.524E+28 e/m3
c) 1.676E+28 e/m3
d) 1.844E+28 e/m3
e) 2.028E+28 e/m3
7)
DC circuit 3 cappies1 voltage source.svg
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) Two large parallel conducting plates are separated by 8.0 mm. Equal and opposite surface charges of 7.520E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?

a) 5.431E-01 mm
b) 6.245E-01 mm
c) 7.182E-01 mm
d) 8.260E-01 mm
e) 9.499E-01 mm

9) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 2.0 nano-Coulombs. What is the magnitude of the electric field at a distance of 3.7 m from the center of the shells?

a) 2.964E+00 N/C
b) 3.260E+00 N/C
c) 3.586E+00 N/C
d) 3.944E+00 N/C
e) 4.339E+00 N/C
10)
VFPt dipole electric manylines cropped.svg
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

T6 E2[edit]

1)
Kirchhoff loop w external current.svg
Two sources of emf ε1=24.8 V, and ε2=10.3 V are oriented as shownin the circuit. The resistances are R1=2.19 kΩ and R2=1.6 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.49 mA and I4=0.83 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.660E+00 mA
b) 1.826E+00 mA
c) 2.009E+00 mA
d) 2.209E+00 mA
e) 2.430E+00 mA
2)
DC circuit 3 cappies1 voltage source.svg
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
3)
VFPt dipole electric manylines cropped.svg
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) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.0 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.5 m from the center of the shells?

a) 9.144E+00 N/C
b) 1.006E+01 N/C
c) 1.106E+01 N/C
d) 1.217E+01 N/C
e) 1.339E+01 N/C

5)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 8.933E+00 V/m2
b) 9.826E+00 V/m2
c) 1.081E+01 V/m2
d) 1.189E+01 V/m2
e) 1.308E+01 V/m2

6) Calculate the resistance of a 12-gauge copper wire that is 69 m long and carries a current of 98 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.631E-01 Ω
b) 2.894E-01 Ω
c) 3.184E-01 Ω
d) 3.502E-01 Ω
e) 3.852E-01 Ω
7)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.6 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=5.6 m, z=z0=1.8 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 10.0m2. Those in the xy plane have area 6.4m2 ,and those in the zx plane have area 4.2m2. An electric field has the xyz components (0, 5.5, 7.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.891E+01 N·m2/C
b) 2.080E+01 N·m2/C
c) 2.288E+01 N·m2/C
d) 2.517E+01 N·m2/C
e) 2.768E+01 N·m2/C

8) A make-believe metal has a density of 1.180E+04 kg/m3 and an atomic mass of 121.0 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 4.010E+28 e/m3
b) 4.411E+28 e/m3
c) 4.852E+28 e/m3
d) 5.337E+28 e/m3
e) 5.871E+28 e/m3

9) 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

10) A given battery has a 15 V emf and an internal resistance of 0.113 Ω. If it is connected to a 0.645 Ω resistor what is the power dissipated by that load?

a) 1.898E+02 W
b) 2.087E+02 W
c) 2.296E+02 W
d) 2.526E+02 W
e) 2.778E+02 W

T6 F0[edit]

1)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate at x=0.83 m if a=0.82 m, b=1.3 m. The total charge on the rod is 7 nC.
a) 8.690E+00 V/m2
b) 9.559E+00 V/m2
c) 1.051E+01 V/m2
d) 1.157E+01 V/m2
e) 1.272E+01 V/m2

2) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=6, y=0), (x=0, y=3), and (x=6, y=3), where x and y are measured in meters. The electric field is,

a) 1.969E+02 V·m
b) 2.166E+02 V·m
c) 2.383E+02 V·m
d) 2.621E+02 V·m
e) 2.883E+02 V·m
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.7 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.7 m, z=z0=1.4 m, and z=z1=4.8 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 7.1m2 ,and those in the zx plane have area 5.8m2. An electric field of magnitude 19 N/C has components in the y and z directions and is directed at 33° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.920E+01 N·m2/C
b) 7.612E+01 N·m2/C
c) 8.373E+01 N·m2/C
d) 9.210E+01 N·m2/C
e) 1.013E+02 N·m2/C
4)
VFPt dipole electric manylines cropped.svg
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

5) When a 6.32 V battery operates a 1.94 W bulb, how many electrons pass through it each second?

a) 1.439E+18 electrons
b) 1.583E+18 electrons
c) 1.742E+18 electrons
d) 1.916E+18 electrons
e) 2.107E+18 electrons
6)
DC circuit 3 cappies1 voltage source.svg
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

7) Calculate the electric field in a 12-gauge copper wire that is 13 m long and carries a current of 59 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.250E-04 V/m
b) 2.475E-04 V/m
c) 2.722E-04 V/m
d) 2.995E-04 V/m
e) 3.294E-04 V/m

8) Calculate the resistance of a 12-gauge copper wire that is 59 m long and carries a current of 26 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.995E-01 Ω
b) 3.294E-01 Ω
c) 3.623E-01 Ω
d) 3.986E-01 Ω
e) 4.384E-01 Ω

9) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 3 20.9 Ω resistors and one 12.1 Ω resistor. What is the voltage drop across the 12.1 Ω resistor?

a) 1.234E+00 V
b) 1.358E+00 V
c) 1.493E+00 V
d) 1.643E+00 V
e) 1.807E+00 V
10)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 569 V. If the combined external and internal resistance is 137 &Omega and the capacitance is 76 mF, how long will it take for the capacitor's voltage to reach 419.0 V?
a) 1.043E+01 s
b) 1.147E+01 s
c) 1.262E+01 s
d) 1.388E+01 s
e) 1.527E+01 s

T6 F1[edit]

1)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 190 V. If the combined external and internal resistance is 255 &Omega and the capacitance is 54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?
a) 1.044E+01 s
b) 1.149E+01 s
c) 1.264E+01 s
d) 1.390E+01 s
e) 1.529E+01 s

2) Calculate the electric field in a 12-gauge copper wire that is 23 m long and carries a current of 64 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.953E-04 V/m
b) 3.248E-04 V/m
c) 3.573E-04 V/m
d) 3.930E-04 V/m
e) 4.324E-04 V/m
3)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 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=3.86 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) 6.325E+02 V
b) 6.957E+02 V
c) 7.653E+02 V
d) 8.418E+02 V
e) 9.260E+02 V

4) 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

5) Calculate the resistance of a 12-gauge copper wire that is 19 m long and carries a current of 59 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 7.970E-02 Ω
b) 8.767E-02 Ω
c) 9.644E-02 Ω
d) 1.061E-01 Ω
e) 1.167E-01 Ω
6)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=1.0 m if a=1.0 m, b=1.8 m. The total charge on the rod is 6 nC.
a) 3.610E+00 V/m2
b) 3.971E+00 V/m2
c) 4.368E+00 V/m2
d) 4.804E+00 V/m2
e) 5.285E+00 V/m2
7)
DC circuit 3 cappies1 voltage source.svg
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

8) A battery with a terminal voltage of 10.6 V is connected to a circuit consisting of 2 21.1 Ω resistors and one 12.8 Ω resistor. What is the voltage drop across the 12.8 Ω resistor?

a) 2.467E+00 V
b) 2.714E+00 V
c) 2.985E+00 V
d) 3.283E+00 V
e) 3.612E+00 V
9)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.7 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.7 m, z=z0=1.4 m, and z=z1=4.8 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 7.1m2 ,and those in the zx plane have area 5.8m2. An electric field of magnitude 19 N/C has components in the y and z directions and is directed at 33° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.920E+01 N·m2/C
b) 7.612E+01 N·m2/C
c) 8.373E+01 N·m2/C
d) 9.210E+01 N·m2/C
e) 1.013E+02 N·m2/C

10) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=8, y=0), (x=0, y=8), and (x=8, y=8), where x and y are measured in meters. The electric field is,

a) 3.429E+03 V·m
b) 3.771E+03 V·m
c) 4.149E+03 V·m
d) 4.564E+03 V·m
e) 5.020E+03 V·m

T6 F2[edit]

1) Calculate the electric field in a 12-gauge copper wire that is 21 m long and carries a current of 42 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 1.602E-04 V/m
b) 1.762E-04 V/m
c) 1.938E-04 V/m
d) 2.132E-04 V/m
e) 2.345E-04 V/m

2) Calculate the resistance of a 12-gauge copper wire that is 48 m long and carries a current of 50 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.215E-01 Ω
b) 2.436E-01 Ω
c) 2.680E-01 Ω
d) 2.948E-01 Ω
e) 3.243E-01 Ω
3)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 467 V. If the combined external and internal resistance is 172 &Omega and the capacitance is 74 mF, how long will it take for the capacitor's voltage to reach 258.0 V?
a) 7.688E+00 s
b) 8.457E+00 s
c) 9.303E+00 s
d) 1.023E+01 s
e) 1.126E+01 s
4)
DC circuit 3 cappies1 voltage source.svg
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)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.1 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.6 m, z=z0=1.8 m, and z=z1=4.2 m. The surfaces in the yz plane each have area 9.4m2. Those in the xy plane have area 8.2m2 ,and those in the zx plane have area 5.0m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 29° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.186E+01 N·m2/C
b) 2.404E+01 N·m2/C
c) 2.645E+01 N·m2/C
d) 2.909E+01 N·m2/C
e) 3.200E+01 N·m2/C
6)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.1 m if a=0.62 m, b=1.3 m. The total charge on the rod is 7 nC.
a) 6.311E+00 V/m2
b) 6.943E+00 V/m2
c) 7.637E+00 V/m2
d) 8.401E+00 V/m2
e) 9.241E+00 V/m2

7) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 Ω resistors and one 14.4 Ω resistor. What is the voltage drop across the 14.4 Ω resistor?

a) 3.637E+00 V
b) 4.001E+00 V
c) 4.401E+00 V
d) 4.841E+00 V
e) 5.325E+00 V
8)
VFPt dipole electric manylines cropped.svg
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

9) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=9, y=0), (x=0, y=9), and (x=9, y=9), where x and y are measured in meters. The electric field is,

a) 2.210E+04 V·m
b) 2.431E+04 V·m
c) 2.674E+04 V·m
d) 2.941E+04 V·m
e) 3.235E+04 V·m

10) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?

a) 2.659E+18 electrons
b) 2.925E+18 electrons
c) 3.217E+18 electrons
d) 3.539E+18 electrons
e) 3.893E+18 electrons

T6 G0[edit]

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 7.517E+00 V/m2
b) 8.269E+00 V/m2
c) 9.096E+00 V/m2
d) 1.001E+01 V/m2
e) 1.101E+01 V/m2
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.7 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=4.4 m, z=z0=1.2 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 7.6m2 ,and those in the zx plane have area 13.0m2. An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 46° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.988E+01 N·m2/C
b) 5.487E+01 N·m2/C
c) 6.035E+01 N·m2/C
d) 6.639E+01 N·m2/C
e) 7.303E+01 N·m2/C

3) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=6, y=0), (x=0, y=3), and (x=6, y=3), where x and y are measured in meters. The electric field is,

a) 1.969E+02 V·m
b) 2.166E+02 V·m
c) 2.383E+02 V·m
d) 2.621E+02 V·m
e) 2.883E+02 V·m

4) 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

5) Assume that a 16 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 (14 cm, 27°).

a) 9.354E+02 V
b) 1.029E+03 V
c) 1.132E+03 V
d) 1.245E+03 V
e) 1.370E+03 V
6)
Three cappies openstax example.svg
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

7) A DC winch moter draws 25 amps at 128 volts as it lifts a 5.710E+03 N weight at a constant speed of 0.449 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

a) 8.413E-01 Ω
b) 9.254E-01 Ω
c) 1.018E+00 Ω
d) 1.120E+00 Ω
e) 1.232E+00 Ω

8) Calculate the electric field in a 12-gauge copper wire that is 41 m long and carries a current of 71 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 3.604E-04 V/m
b) 3.964E-04 V/m
c) 4.360E-04 V/m
d) 4.796E-04 V/m
e) 5.276E-04 V/m
9)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=11.8 V, R1=2.38 Ω, R2=5.11 Ω, and R3=14.6 Ω. What is the power dissipated by R2?
a) 8.489E+00 W
b) 9.338E+00 W
c) 1.027E+01 W
d) 1.130E+01 W
e) 1.243E+01 W
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=38.9 V, and ε2=14.4 V are oriented as shownin the circuit. The resistances are R1=4.33 kΩ and R2=1.65 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=5.59 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 9.142E+00 V
b) 1.006E+01 V
c) 1.106E+01 V
d) 1.217E+01 V
e) 1.338E+01 V

T6 G1[edit]

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 2.567E+01 V/m2
b) 2.824E+01 V/m2
c) 3.106E+01 V/m2
d) 3.417E+01 V/m2
e) 3.759E+01 V/m2

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 (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

3) Calculate the electric field in a 12-gauge copper wire that is 17 m long and carries a current of 56 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 1.941E-04 V/m
b) 2.135E-04 V/m
c) 2.349E-04 V/m
d) 2.584E-04 V/m
e) 2.842E-04 V/m
4)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=16.1 V, R1=1.18 Ω, R2=5.28 Ω, and R3=14.8 Ω. What is the power dissipated by R2?
a) 2.172E+01 W
b) 2.389E+01 W
c) 2.628E+01 W
d) 2.891E+01 W
e) 3.180E+01 W
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.8 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.9 m, z=z0=1.3 m, and z=z1=5.2 m. The surfaces in the yz plane each have area 18.0m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 7.0m2. An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 49° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.777E+01 N·m2/C
b) 5.254E+01 N·m2/C
c) 5.780E+01 N·m2/C
d) 6.358E+01 N·m2/C
e) 6.993E+01 N·m2/C

6) 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
7)
Three cappies openstax example.svg
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

8) A DC winch moter draws 26 amps at 177 volts as it lifts a 4.820E+03 N weight at a constant speed of 0.696 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

a) 1.677E+00 Ω
b) 1.845E+00 Ω
c) 2.030E+00 Ω
d) 2.233E+00 Ω
e) 2.456E+00 Ω

9) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=5, y=0), (x=0, y=7), and (x=5, y=7), where x and y are measured in meters. The electric field is,

a) 4.286E+03 V·m
b) 4.714E+03 V·m
c) 5.186E+03 V·m
d) 5.704E+03 V·m
e) 6.275E+03 V·m
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=26.2 V, and ε2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 kΩ and R2=1.72 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 4.275E+00 V
b) 4.703E+00 V
c) 5.173E+00 V
d) 5.691E+00 V
e) 6.260E+00 V

T6 G2[edit]

1)
Three cappies openstax example.svg
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

2) Calculate the electric field in a 12-gauge copper wire that is 26 m long and carries a current of 24 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 9.152E-05 V/m
b) 1.007E-04 V/m
c) 1.107E-04 V/m
d) 1.218E-04 V/m
e) 1.340E-04 V/m

3) 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
4)
Kirchhoff loop w external current.svg
Two sources of emf ε1=21.0 V, and ε2=8.72 V are oriented as shownin the circuit. The resistances are R1=3.12 kΩ and R2=1.15 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.41 mA and I4=0.816 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 5.267E+00 V
b) 5.794E+00 V
c) 6.373E+00 V
d) 7.011E+00 V
e) 7.712E+00 V
5)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=16.1 V, R1=1.18 Ω, R2=5.28 Ω, and R3=14.8 Ω. What is the power dissipated by R2?
a) 2.172E+01 W
b) 2.389E+01 W
c) 2.628E+01 W
d) 2.891E+01 W
e) 3.180E+01 W

6) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=8, y=0), (x=0, y=8), and (x=8, y=8), where x and y are measured in meters. The electric field is,

a) 9.027E+03 V·m
b) 9.930E+03 V·m
c) 1.092E+04 V·m
d) 1.202E+04 V·m
e) 1.322E+04 V·m

7)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 5.647E+00 V/m2
b) 6.212E+00 V/m2
c) 6.833E+00 V/m2
d) 7.517E+00 V/m2
e) 8.268E+00 V/m2
8)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.1 m, y=y1=5.7 m, z=z0=1.8 m, and z=z1=4.5 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 6.0m2 ,and those in the zx plane have area 3.5m2. An electric field of magnitude 5 N/C has components in the y and z directions and is directed at 38° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 9.823E+00 N·m2/C
b) 1.080E+01 N·m2/C
c) 1.189E+01 N·m2/C
d) 1.307E+01 N·m2/C
e) 1.438E+01 N·m2/C

9) 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

10) A DC winch moter draws 17 amps at 187 volts as it lifts a 5.600E+03 N weight at a constant speed of 0.381 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

a) 2.471E+00 Ω
b) 2.718E+00 Ω
c) 2.990E+00 Ω
d) 3.288E+00 Ω
e) 3.617E+00 Ω

T6 H0[edit]

1) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 3.214E+01 N/C
b) 3.536E+01 N/C
c) 3.889E+01 N/C
d) 4.278E+01 N/C
e) 4.706E+01 N/C
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.8 m, y=y1=5.8 m, z=z0=1.9 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 8.0m2 ,and those in the zx plane have area 8.0m2. An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 39° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.662E+01 N·m2/C
b) 4.028E+01 N·m2/C
c) 4.430E+01 N·m2/C
d) 4.873E+01 N·m2/C
e) 5.361E+01 N·m2/C
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.8 m, y=y1=4.2 m, z=z0=1.3 m, and z=z1=5.8 m. The surfaces in the yz plane each have area 11.0m2. Those in the xy plane have area 4.8m2 ,and those in the zx plane have area 9.0m2. An electric field has the xyz components (0, 6.1, 5.6) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.125E+01 N·m2/C
b) 4.537E+01 N·m2/C
c) 4.991E+01 N·m2/C
d) 5.490E+01 N·m2/C
e) 6.039E+01 N·m2/C

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) 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
6)
DC circuit 3 cappies1 voltage source.svg
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

7) Calculate the resistance of a 12-gauge copper wire that is 86 m long and carries a current of 97 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 4.365E-01 Ω
b) 4.801E-01 Ω
c) 5.282E-01 Ω
d) 5.810E-01 Ω
e) 6.391E-01 Ω

8) A make-believe metal has a density of 1.580E+04 kg/m3 and an atomic mass of 41.5 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 2.292E+29 e/m3
b) 2.521E+29 e/m3
c) 2.773E+29 e/m3
d) 3.051E+29 e/m3
e) 3.356E+29 e/m3
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=54.9 V, and ε2=19.8 V are oriented as shownin the circuit. The resistances are R1=3.93 kΩ and R2=1.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=9.18 mA and I4=1.83 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 1.779E+01 V
b) 1.957E+01 V
c) 2.153E+01 V
d) 2.368E+01 V
e) 2.605E+01 V

10) A battery with a terminal voltage of 13.2 V is connected to a circuit consisting of 3 15.7 Ω resistors and one 10.3 Ω resistor. What is the voltage drop across the 10.3 Ω resistor?

a) 1.958E+00 V
b) 2.153E+00 V
c) 2.369E+00 V
d) 2.606E+00 V
e) 2.866E+00 V

T6 H1[edit]

1)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.8 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=4.5 m, z=z0=1.5 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 9.8m2. Those in the xy plane have area 7.8m2 ,and those in the zx plane have area 9.8m2. An electric field has the xyz components (0, 6.1, 9.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 5.978E+01 N·m2/C
b) 6.576E+01 N·m2/C
c) 7.233E+01 N·m2/C
d) 7.957E+01 N·m2/C
e) 8.752E+01 N·m2/C
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.9 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.9 m, z=z0=1.3 m, and z=z1=5.3 m. The surfaces in the yz plane each have area 17.0m2. Those in the xy plane have area 12.0m2 ,and those in the zx plane have area 12.0m2. An electric field of magnitude 5 N/C has components in the y and z directions and is directed at 26° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.737E+01 N·m2/C
b) 1.910E+01 N·m2/C
c) 2.101E+01 N·m2/C
d) 2.311E+01 N·m2/C
e) 2.543E+01 N·m2/C

3) Calculate the resistance of a 12-gauge copper wire that is 42 m long and carries a current of 63 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 1.938E-01 Ω
b) 2.132E-01 Ω
c) 2.345E-01 Ω
d) 2.579E-01 Ω
e) 2.837E-01 Ω
4)
Kirchhoff loop w external current.svg
Two sources of emf ε1=27.9 V, and ε2=11.1 V are oriented as shownin the circuit. The resistances are R1=2.82 kΩ and R2=2.25 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.1 mA and I4=0.676 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 8.334E+00 V
b) 9.167E+00 V
c) 1.008E+01 V
d) 1.109E+01 V
e) 1.220E+01 V

5) A make-believe metal has a density of 1.580E+04 kg/m3 and an atomic mass of 41.5 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 2.292E+29 e/m3
b) 2.521E+29 e/m3
c) 2.773E+29 e/m3
d) 3.051E+29 e/m3
e) 3.356E+29 e/m3

6) 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
7)
DC circuit 3 cappies1 voltage source.svg
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

8) 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

9) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 6.534E+01 N/C
b) 7.187E+01 N/C
c) 7.906E+01 N/C
d) 8.696E+01 N/C
e) 9.566E+01 N/C

10) A battery with a terminal voltage of 8.01 V is connected to a circuit consisting of 3 22.1 Ω resistors and one 14.5 Ω resistor. What is the voltage drop across the 14.5 Ω resistor?

a) 9.818E-01 V
b) 1.080E+00 V
c) 1.188E+00 V
d) 1.307E+00 V
e) 1.437E+00 V

T6 H2[edit]

1) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 2.652E+01 N/C
b) 2.917E+01 N/C
c) 3.209E+01 N/C
d) 3.529E+01 N/C
e) 3.882E+01 N/C
2)
Kirchhoff loop w external current.svg
Two sources of emf ε1=17.3 V, and ε2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 kΩ and R2=2.79 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 6.488E+00 V
b) 7.137E+00 V
c) 7.850E+00 V
d) 8.635E+00 V
e) 9.499E+00 V

3) 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

4) Calculate the resistance of a 12-gauge copper wire that is 86 m long and carries a current of 97 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 4.365E-01 Ω
b) 4.801E-01 Ω
c) 5.282E-01 Ω
d) 5.810E-01 Ω
e) 6.391E-01 Ω
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.8 m, y=y1=5.8 m, z=z0=1.9 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 8.0m2 ,and those in the zx plane have area 8.0m2. An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 39° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.662E+01 N·m2/C
b) 4.028E+01 N·m2/C
c) 4.430E+01 N·m2/C
d) 4.873E+01 N·m2/C
e) 5.361E+01 N·m2/C

6) A make-believe metal has a density of 3.470E+03 kg/m3 and an atomic mass of 33.8 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 6.180E+28 e/m3
b) 6.798E+28 e/m3
c) 7.478E+28 e/m3
d) 8.226E+28 e/m3
e) 9.049E+28 e/m3

7) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?

a) 2.659E+18 electrons
b) 2.925E+18 electrons
c) 3.217E+18 electrons
d) 3.539E+18 electrons
e) 3.893E+18 electrons
8)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.8 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=4.5 m, z=z0=1.5 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 9.8m2. Those in the xy plane have area 7.8m2 ,and those in the zx plane have area 9.8m2. An electric field has the xyz components (0, 6.1, 9.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 5.978E+01 N·m2/C
b) 6.576E+01 N·m2/C
c) 7.233E+01 N·m2/C
d) 7.957E+01 N·m2/C
e) 8.752E+01 N·m2/C

9) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 2 20.3 Ω resistors and one 13.1 Ω resistor. What is the voltage drop across the 13.1 Ω resistor?

a) 2.843E+00 V
b) 3.127E+00 V
c) 3.440E+00 V
d) 3.784E+00 V
e) 4.162E+00 V
10)
DC circuit 3 cappies1 voltage source.svg
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

T6 I0[edit]

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 9.459E+00 V/m2
b) 1.040E+01 V/m2
c) 1.145E+01 V/m2
d) 1.259E+01 V/m2
e) 1.385E+01 V/m2
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.1 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.0 m, z=z0=1.8 m, and z=z1=5.7 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 3.9m2 ,and those in the zx plane have area 4.3m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 31° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.521E+01 N·m2/C
b) 4.973E+01 N·m2/C
c) 5.470E+01 N·m2/C
d) 6.017E+01 N·m2/C
e) 6.619E+01 N·m2/C

3) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=8, y=0), (x=0, y=6), and (x=8, y=6), where x and y are measured in meters. The electric field is,

a) 2.694E+03 V·m
b) 2.963E+03 V·m
c) 3.259E+03 V·m
d) 3.585E+03 V·m
e) 3.944E+03 V·m

4) 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
5)
VFPt dipole electric manylines cropped.svg
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
6)
DC circuit 3 cappies1 voltage source.svg
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

7) Calculate the drift speed of electrons in a copper wire with a diameter of 5.33 mm carrying a 5.1 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 1.711E-05 m/s
b) 1.882E-05 m/s
c) 2.070E-05 m/s
d) 2.277E-05 m/s
e) 2.505E-05 m/s

8) Calculate the resistance of a 12-gauge copper wire that is 14 m long and carries a current of 38 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 5.873E-02 Ω
b) 6.460E-02 Ω
c) 7.106E-02 Ω
d) 7.816E-02 Ω
e) 8.598E-02 Ω
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=26.2 V, and ε2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 kΩ and R2=1.72 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 4.275E+00 V
b) 4.703E+00 V
c) 5.173E+00 V
d) 5.691E+00 V
e) 6.260E+00 V
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=40.7 V, and ε2=12.3 V are oriented as shownin the circuit. The resistances are R1=3.5 kΩ and R2=1.94 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.42 mA and I4=0.932 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 1.440E+01 V
b) 1.584E+01 V
c) 1.742E+01 V
d) 1.916E+01 V
e) 2.108E+01 V

T6 I1[edit]

1)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.5 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.9 m, z=z0=1.1 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 5.3m2 ,and those in the zx plane have area 5.0m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 29° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 7.793E+01 N·m2/C
b) 8.572E+01 N·m2/C
c) 9.429E+01 N·m2/C
d) 1.037E+02 N·m2/C
e) 1.141E+02 N·m2/C

2) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=5, y=0), (x=0, y=7), and (x=5, y=7), where x and y are measured in meters. The electric field is,

a) 4.286E+03 V·m
b) 4.714E+03 V·m
c) 5.186E+03 V·m
d) 5.704E+03 V·m
e) 6.275E+03 V·m
3)
Kirchhoff loop w external current.svg
Two sources of emf ε1=38.9 V, and ε2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 kΩ and R2=2.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 7.031E+00 V
b) 7.734E+00 V
c) 8.507E+00 V
d) 9.358E+00 V
e) 1.029E+01 V

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 5.134E-01 V/m2
b) 5.648E-01 V/m2
c) 6.212E-01 V/m2
d) 6.834E-01 V/m2
e) 7.517E-01 V/m2
5)
Kirchhoff loop w external current.svg
Two sources of emf ε1=54.9 V, and ε2=19.8 V are oriented as shownin the circuit. The resistances are R1=3.93 kΩ and R2=1.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=9.18 mA and I4=1.83 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 1.779E+01 V
b) 1.957E+01 V
c) 2.153E+01 V
d) 2.368E+01 V
e) 2.605E+01 V
6)
VFPt dipole electric manylines cropped.svg
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

7) Calculate the drift speed of electrons in a copper wire with a diameter of 5.47 mm carrying a 3.48 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 1.008E-05 m/s
b) 1.108E-05 m/s
c) 1.219E-05 m/s
d) 1.341E-05 m/s
e) 1.475E-05 m/s

8) When a 8.6 V battery operates a 2.76 W bulb, how many electrons pass through it each second?

a) 1.655E+18 electrons
b) 1.821E+18 electrons
c) 2.003E+18 electrons
d) 2.203E+18 electrons
e) 2.424E+18 electrons
9)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=17.5 μF, C2=2.63 μF, and C3=5.76 μF. The voltage source provides ε=15.9 V. What is the charge on C1?
a) 8.197E+01 μC
b) 9.017E+01 μC
c) 9.919E+01 μC
d) 1.091E+02 μC
e) 1.200E+02 μC

10) Calculate the resistance of a 12-gauge copper wire that is 30 m long and carries a current of 31 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 1.384E-01 Ω
b) 1.523E-01 Ω
c) 1.675E-01 Ω
d) 1.842E-01 Ω
e) 2.027E-01 Ω

T6 I2[edit]

1)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.5 m, z=z0=1.7 m, and z=z1=5.1 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 9.9m2 ,and those in the zx plane have area 7.8m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 58° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.698E+01 N·m2/C
b) 1.868E+01 N·m2/C
c) 2.055E+01 N·m2/C
d) 2.260E+01 N·m2/C
e) 2.486E+01 N·m2/C
2)
VFPt dipole electric manylines cropped.svg
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

3) Calculate the drift speed of electrons in a copper wire with a diameter of 3.53 mm carrying a 2.8 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 1.947E-05 m/s
b) 2.141E-05 m/s
c) 2.355E-05 m/s
d) 2.591E-05 m/s
e) 2.850E-05 m/s
4)
DC circuit 3 cappies1 voltage source.svg
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)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 1.022E+00 V/m2
b) 1.125E+00 V/m2
c) 1.237E+00 V/m2
d) 1.361E+00 V/m2
e) 1.497E+00 V/m2

6) Calculate the resistance of a 12-gauge copper wire that is 69 m long and carries a current of 98 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.631E-01 Ω
b) 2.894E-01 Ω
c) 3.184E-01 Ω
d) 3.502E-01 Ω
e) 3.852E-01 Ω
7)
Kirchhoff loop w external current.svg
Two sources of emf ε1=28.6 V, and ε2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 kΩ and R2=1.95 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 6.641E+00 V
b) 7.305E+00 V
c) 8.035E+00 V
d) 8.839E+00 V
e) 9.723E+00 V
8)
Kirchhoff loop w external current.svg
Two sources of emf ε1=40.7 V, and ε2=12.3 V are oriented as shownin the circuit. The resistances are R1=3.5 kΩ and R2=1.94 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.42 mA and I4=0.932 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 1.440E+01 V
b) 1.584E+01 V
c) 1.742E+01 V
d) 1.916E+01 V
e) 2.108E+01 V

9) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=6, y=0), (x=0, y=6), and (x=6, y=6), where x and y are measured in meters. The electric field is,

a) 9.952E+03 V·m
b) 1.095E+04 V·m
c) 1.204E+04 V·m
d) 1.325E+04 V·m
e) 1.457E+04 V·m

10) 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

T6 J0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 3.719E+01 degrees
b) 4.091E+01 degrees
c) 4.500E+01 degrees
d) 4.950E+01 degrees
e) 5.445E+01 degrees
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.8 m, z=z0=1.7 m, and z=z1=5.8 m. The surfaces in the yz plane each have area 18.0m2. Those in the xy plane have area 5.6m2 ,and those in the zx plane have area 5.3m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 40° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.712E+01 N·m2/C
b) 4.083E+01 N·m2/C
c) 4.491E+01 N·m2/C
d) 4.940E+01 N·m2/C
e) 5.434E+01 N·m2/C

3) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=4, y=0), (x=0, y=9), and (x=4, y=9), where x and y are measured in meters. The electric field is,

a) 7.054E+03 V·m
b) 7.759E+03 V·m
c) 8.535E+03 V·m
d) 9.388E+03 V·m
e) 1.033E+04 V·m

4) 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

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 16 V.

a) 2.157E+06 m/s
b) 2.372E+06 m/s
c) 2.610E+06 m/s
d) 2.871E+06 m/s
e) 3.158E+06 m/s
6)
DC circuit 3 cappies1 voltage source.svg
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

7) What is the average current involved when a truck battery sets in motion 618 C of charge in 2.28 s while starting an engine?

a) 2.240E+02 A
b) 2.464E+02 A
c) 2.711E+02 A
d) 2.982E+02 A
e) 3.280E+02 A

8) What is consumer cost to operate one 87−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.117 per kilowatt-hour?

a) $2.791E+01
b) $3.071E+01
c) $3.378E+01
d) $3.715E+01
e) $4.087E+01

9) A battery with a terminal voltage of 6.49 V is connected to a circuit consisting of 3 18.0 Ω resistors and one 10.3 Ω resistor. What is the voltage drop across the 10.3 Ω resistor?

a) 7.101E-01 V
b) 7.811E-01 V
c) 8.592E-01 V
d) 9.451E-01 V
e) 1.040E+00 V

10) A given battery has a 13 V emf and an internal resistance of 0.106 Ω. If it is connected to a 0.752 Ω resistor what is the power dissipated by that load?

a) 1.569E+02 W
b) 1.726E+02 W
c) 1.899E+02 W
d) 2.089E+02 W
e) 2.298E+02 W

T6 J1[edit]

1) What is consumer cost to operate one 74−W incandescent bulb for 9 hours per day for 1 year (365 days) if the cost of electricity is $0.119 per kilowatt-hour?

a) $1.976E+01
b) $2.173E+01
c) $2.391E+01
d) $2.630E+01
e) $2.893E+01
2)
DC circuit 3 cappies1 voltage source.svg
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

3) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=7), and (x=7, y=7), where x and y are measured in meters. The electric field is,

a) 8.731E+02 V·m
b) 9.604E+02 V·m
c) 1.056E+03 V·m
d) 1.162E+03 V·m
e) 1.278E+03 V·m
4)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.8 m. The other four surfaces are rectangles in y=y0=1.1 m, y=y1=4.9 m, z=z0=1.3 m, and z=z1=5.6 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 6.8m2 ,and those in the zx plane have area 7.7m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 57° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.898E+01 N·m2/C
b) 7.588E+01 N·m2/C
c) 8.347E+01 N·m2/C
d) 9.181E+01 N·m2/C
e) 1.010E+02 N·m2/C

5) What is the average current involved when a truck battery sets in motion 779 C of charge in 3.96 s while starting an engine?

a) 1.626E+02 A
b) 1.788E+02 A
c) 1.967E+02 A
d) 2.164E+02 A
e) 2.380E+02 A

6) A battery with a terminal voltage of 8.41 V is connected to a circuit consisting of 3 16.1 Ω resistors and one 10.9 Ω resistor. What is the voltage drop across the 10.9 Ω resistor?

a) 1.058E+00 V
b) 1.163E+00 V
c) 1.280E+00 V
d) 1.408E+00 V
e) 1.548E+00 V
7)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.766E+01 degrees
b) 5.243E+01 degrees
c) 5.767E+01 degrees
d) 6.343E+01 degrees
e) 6.978E+01 degrees

8) 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

9) A given battery has a 11 V emf and an internal resistance of 0.0998 Ω. If it is connected to a 0.417 Ω resistor what is the power dissipated by that load?

a) 1.419E+02 W
b) 1.561E+02 W
c) 1.717E+02 W
d) 1.889E+02 W
e) 2.078E+02 W

10) Calculate the final speed of a free electron accelerated from rest through a potential difference of 6 V.

a) 1.091E+06 m/s
b) 1.201E+06 m/s
c) 1.321E+06 m/s
d) 1.453E+06 m/s
e) 1.598E+06 m/s

T6 J2[edit]

1) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=4, y=0), (x=0, y=4), and (x=4, y=4), where x and y are measured in meters. The electric field is,

a) 8.545E+01 V·m
b) 9.400E+01 V·m
c) 1.034E+02 V·m
d) 1.137E+02 V·m
e) 1.251E+02 V·m
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.8 m, z=z0=1.7 m, and z=z1=5.8 m. The surfaces in the yz plane each have area 18.0m2. Those in the xy plane have area 5.6m2 ,and those in the zx plane have area 5.3m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 40° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.712E+01 N·m2/C
b) 4.083E+01 N·m2/C
c) 4.491E+01 N·m2/C
d) 4.940E+01 N·m2/C
e) 5.434E+01 N·m2/C

3) What is consumer cost to operate one 73−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.113 per kilowatt-hour?

a) $3.312E+01
b) $3.643E+01
c) $4.007E+01
d) $4.408E+01
e) $4.849E+01

4) A given battery has a 15 V emf and an internal resistance of 0.0536 Ω. If it is connected to a 0.64 Ω resistor what is the power dissipated by that load?

a) 2.721E+02 W
b) 2.993E+02 W
c) 3.293E+02 W
d) 3.622E+02 W
e) 3.984E+02 W

5) A battery with a terminal voltage of 12.4 V is connected to a circuit consisting of 3 21.6 Ω resistors and one 12.1 Ω resistor. What is the voltage drop across the 12.1 Ω resistor?

a) 1.333E+00 V
b) 1.466E+00 V
c) 1.612E+00 V
d) 1.774E+00 V
e) 1.951E+00 V
6)
DC circuit 3 cappies1 voltage source.svg
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

7) Two large parallel conducting plates are separated by 6.67 mm. Equal and opposite surface charges of 7.080E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 60 V?

a) 6.525E-01 mm
b) 7.504E-01 mm
c) 8.629E-01 mm
d) 9.923E-01 mm
e) 1.141E+00 mm
8)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.272E+01 degrees
b) 5.799E+01 degrees
c) 6.379E+01 degrees
d) 7.017E+01 degrees
e) 7.719E+01 degrees

9) 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

10) What is the average current involved when a truck battery sets in motion 779 C of charge in 3.96 s while starting an engine?

a) 1.626E+02 A
b) 1.788E+02 A
c) 1.967E+02 A
d) 2.164E+02 A
e) 2.380E+02 A

T6 K0[edit]

1)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate at x=0.83 m if a=0.82 m, b=1.3 m. The total charge on the rod is 7 nC.
a) 8.690E+00 V/m2
b) 9.559E+00 V/m2
c) 1.051E+01 V/m2
d) 1.157E+01 V/m2
e) 1.272E+01 V/m2

2) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=5, y=0), (x=0, y=7), and (x=5, y=7), where x and y are measured in meters. The electric field is,

a) 4.286E+03 V·m
b) 4.714E+03 V·m
c) 5.186E+03 V·m
d) 5.704E+03 V·m
e) 6.275E+03 V·m
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.4 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=5.6 m, z=z0=1.7 m, and z=z1=4.5 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 6.0m2 ,and those in the zx plane have area 3.9m2. An electric field has the xyz components (0, 6.5, 9.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.740E+01 N·m2/C
b) 1.914E+01 N·m2/C
c) 2.106E+01 N·m2/C
d) 2.316E+01 N·m2/C
e) 2.548E+01 N·m2/C
4)
VFPt dipole electric manylines cropped.svg
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
5)
Bandgenerator cropped.svg
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
6)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=17.5 μF, C2=2.63 μF, and C3=5.76 μF. The voltage source provides ε=15.9 V. What is the charge on C1?
a) 8.197E+01 μC
b) 9.017E+01 μC
c) 9.919E+01 μC
d) 1.091E+02 μC
e) 1.200E+02 μC

7) Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.58 Ω at a temperature of 24°C and that the temperature coefficient of expansion is 5.520E-03 (°C)−1). What is the resistance at a temperature of 349 °C?

a) 9.526E+00 Ω
b) 1.000E+01 Ω
c) 1.050E+01 Ω
d) 1.103E+01 Ω
e) 1.158E+01 Ω

8) Calculate the drift speed of electrons in a copper wire with a diameter of 4.38 mm carrying a 5.79 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 2.615E-05 m/s
b) 2.876E-05 m/s
c) 3.164E-05 m/s
d) 3.480E-05 m/s
e) 3.828E-05 m/s
9)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.18 Ω, R2= 0.878 Ω, and R2= 2.11 Ω. V1 and V3 are text 0.637 V and 3.51 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.547 V. What is the absolute value of the current through R1?
a) 1.701E-01 A
b) 1.871E-01 A
c) 2.058E-01 A
d) 2.264E-01 A
e) 2.490E-01 A
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=38.9 V, and ε2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 kΩ and R2=2.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 7.031E+00 V
b) 7.734E+00 V
c) 8.507E+00 V
d) 9.358E+00 V
e) 1.029E+01 V

T6 K1[edit]

1)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=0.5 m if a=0.67 m, b=2.4 m. The total charge on the rod is 9 nC.
a) 5.465E+00 V/m2
b) 6.012E+00 V/m2
c) 6.613E+00 V/m2
d) 7.274E+00 V/m2
e) 8.002E+00 V/m2
2)
DC circuit 3 cappies1 voltage source.svg
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

3) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=5, y=0), (x=0, y=7), and (x=5, y=7), where x and y are measured in meters. The electric field is,

a) 1.997E+03 V·m
b) 2.197E+03 V·m
c) 2.417E+03 V·m
d) 2.659E+03 V·m
e) 2.924E+03 V·m

4) Calculate the drift speed of electrons in a copper wire with a diameter of 5.46 mm carrying a 8.19 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 2.380E-05 m/s
b) 2.618E-05 m/s
c) 2.880E-05 m/s
d) 3.168E-05 m/s
e) 3.485E-05 m/s
5)
Kirchhoff loop w external current.svg
Two sources of emf ε1=26.8 V, and ε2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.2 kΩ and R2=2.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.29 mA and I4=0.464 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 3.436E+00 V
b) 3.779E+00 V
c) 4.157E+00 V
d) 4.573E+00 V
e) 5.030E+00 V

6) Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.75 Ω at a temperature of 24°C and that the temperature coefficient of expansion is 4.300E-03 (°C)−1). What is the resistance at a temperature of 423 °C?

a) 1.018E+01 Ω
b) 1.069E+01 Ω
c) 1.123E+01 Ω
d) 1.179E+01 Ω
e) 1.238E+01 Ω
7)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.42 Ω, R2= 1.09 Ω, and R2= 3.89 Ω. V1 and V3 are text 0.677 V and 1.86 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.745 V. What is the absolute value of the current through R1?
a) 2.089E-01 A
b) 2.298E-01 A
c) 2.528E-01 A
d) 2.781E-01 A
e) 3.059E-01 A
8)
Bandgenerator cropped.svg
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
9)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.4 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=5.6 m, z=z0=1.7 m, and z=z1=4.5 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 6.0m2 ,and those in the zx plane have area 3.9m2. An electric field has the xyz components (0, 6.5, 9.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.740E+01 N·m2/C
b) 1.914E+01 N·m2/C
c) 2.106E+01 N·m2/C
d) 2.316E+01 N·m2/C
e) 2.548E+01 N·m2/C
10)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 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=3.86 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) 6.325E+02 V
b) 6.957E+02 V
c) 7.653E+02 V
d) 8.418E+02 V
e) 9.260E+02 V

T6 K2[edit]

1)
Bandgenerator cropped.svg
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
2)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=7 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=3.69 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) 5.645E+02 V
b) 6.210E+02 V
c) 6.831E+02 V
d) 7.514E+02 V
e) 8.266E+02 V
3)
Kirchhoff loop w external current.svg
Two sources of emf ε1=38.9 V, and ε2=14.4 V are oriented as shownin the circuit. The resistances are R1=4.33 kΩ and R2=1.65 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=5.59 mA and I4=1.07 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 9.142E+00 V
b) 1.006E+01 V
c) 1.106E+01 V
d) 1.217E+01 V
e) 1.338E+01 V
4)
DC circuit 3 cappies1 voltage source.svg
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) Calculate the drift speed of electrons in a copper wire with a diameter of 5.19 mm carrying a 18.2 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 5.321E-05 m/s
b) 5.853E-05 m/s
c) 6.439E-05 m/s
d) 7.083E-05 m/s
e) 7.791E-05 m/s
6)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.04 Ω, R2= 1.19 Ω, and R2= 2.5 Ω. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.602 V. What is the absolute value of the current through R1?
a) 1.401E-01 A
b) 1.542E-01 A
c) 1.696E-01 A
d) 1.865E-01 A
e) 2.052E-01 A

7) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=6, y=0), (x=0, y=6), and (x=6, y=6), where x and y are measured in meters. The electric field is,

a) 4.820E+03 V·m
b) 5.302E+03 V·m
c) 5.832E+03 V·m
d) 6.415E+03 V·m
e) 7.057E+03 V·m

8) Imagine a substance could be made into a very hot filament. Suppose the resitance is 1.95 Ω at a temperature of 96°C and that the temperature coefficient of expansion is 4.400E-03 (°C)−1). What is the resistance at a temperature of 469 °C?

a) 4.449E+00 Ω
b) 4.672E+00 Ω
c) 4.905E+00 Ω
d) 5.150E+00 Ω
e) 5.408E+00 Ω
9)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.54 m if a=1.0 m, b=2.0 m. The total charge on the rod is 3 nC.
a) 1.665E+00 V/m2
b) 1.831E+00 V/m2
c) 2.014E+00 V/m2
d) 2.216E+00 V/m2
e) 2.437E+00 V/m2
10)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.8 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=5.0 m, z=z0=1.6 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 6.5m2 ,and those in the zx plane have area 7.7m2. An electric field has the xyz components (0, 8.0, 9.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.192E+01 N·m2/C
b) 6.811E+01 N·m2/C
c) 7.492E+01 N·m2/C
d) 8.242E+01 N·m2/C
e) 9.066E+01 N·m2/C

T6 L0[edit]

1)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate at x=0.83 m if a=0.82 m, b=1.3 m. The total charge on the rod is 7 nC.
a) 8.690E+00 V/m2
b) 9.559E+00 V/m2
c) 1.051E+01 V/m2
d) 1.157E+01 V/m2
e) 1.272E+01 V/m2
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.2 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.0 m, z=z0=1.9 m, and z=z1=4.3 m. The surfaces in the yz plane each have area 7.9m2. Those in the xy plane have area 4.0m2 ,and those in the zx plane have area 2.9m2. An electric field has the xyz components (0, 5.3, 9.1) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.388E+01 N·m2/C
b) 1.526E+01 N·m2/C
c) 1.679E+01 N·m2/C
d) 1.847E+01 N·m2/C
e) 2.032E+01 N·m2/C

3) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=8, y=0), (x=0, y=8), and (x=8, y=8), where x and y are measured in meters. The electric field is,

a) 3.429E+03 V·m
b) 3.771E+03 V·m
c) 4.149E+03 V·m
d) 4.564E+03 V·m
e) 5.020E+03 V·m

4) 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
5)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.57 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=3.59 cm, y=1.78 cm)? Note that following the textbook's example, the y-value of the field point at 1.78 cm matches the disance of the positive charge above the x-axis.
a) 2.727E+02 V
b) 2.999E+02 V
c) 3.299E+02 V
d) 3.629E+02 V
e) 3.992E+02 V
6)
DC circuit 3 cappies1 voltage source.svg
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

7) What is the average current involved when a truck battery sets in motion 618 C of charge in 2.28 s while starting an engine?

a) 2.240E+02 A
b) 2.464E+02 A
c) 2.711E+02 A
d) 2.982E+02 A
e) 3.280E+02 A

8) Calculate the drift speed of electrons in a copper wire with a diameter of 5.82 mm carrying a 9.11 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 1.926E-05 m/s
b) 2.118E-05 m/s
c) 2.330E-05 m/s
d) 2.563E-05 m/s
e) 2.819E-05 m/s
9)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=17.8 V, R1=2.27 Ω, R2=6.79 Ω, and R3=15.1 Ω. What is the power dissipated by R2?
a) 1.446E+01 W
b) 1.591E+01 W
c) 1.750E+01 W
d) 1.925E+01 W
e) 2.117E+01 W
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=30.5 V, and ε2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.79 kΩ and R2=1.86 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.07 mA and I4=0.73 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 2.281E+00 mA
b) 2.509E+00 mA
c) 2.760E+00 mA
d) 3.036E+00 mA
e) 3.340E+00 mA

T6 L1[edit]

1)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=15.4 V, R1=2.77 Ω, R2=6.07 Ω, and R3=14.5 Ω. What is the power dissipated by R2?
a) 1.190E+01 W
b) 1.309E+01 W
c) 1.440E+01 W
d) 1.584E+01 W
e) 1.742E+01 W

2) Calculate the drift speed of electrons in a copper wire with a diameter of 4.79 mm carrying a 10.9 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 3.401E-05 m/s
b) 3.741E-05 m/s
c) 4.116E-05 m/s
d) 4.527E-05 m/s
e) 4.980E-05 m/s
3)
VFPt dipole electric manylines cropped.svg
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

4) 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

5) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=6, y=0), (x=0, y=3), and (x=6, y=3), where x and y are measured in meters. The electric field is,

a) 1.969E+02 V·m
b) 2.166E+02 V·m
c) 2.383E+02 V·m
d) 2.621E+02 V·m
e) 2.883E+02 V·m

6) What is the average current involved when a truck battery sets in motion 682 C of charge in 5.29 s while starting an engine?

a) 1.065E+02 A
b) 1.172E+02 A
c) 1.289E+02 A
d) 1.418E+02 A
e) 1.560E+02 A
7)
Kirchhoff loop w external current.svg
Two sources of emf ε1=44.4 V, and ε2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 kΩ and R2=1.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 6.970E+00 mA
b) 7.667E+00 mA
c) 8.434E+00 mA
d) 9.277E+00 mA
e) 1.020E+01 mA
8)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.2 m. Evaluate at x=0.54 m if a=0.76 m, b=1.7 m. The total charge on the rod is 8 nC.
a) 1.399E+01 V/m2
b) 1.539E+01 V/m2
c) 1.693E+01 V/m2
d) 1.862E+01 V/m2
e) 2.049E+01 V/m2
9)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=17.1 μF, C2=2.87 μF, and C3=4.74 μF. The voltage source provides ε=6.63 V. What is the charge on C1?
a) 2.385E+01 μC
b) 2.623E+01 μC
c) 2.886E+01 μC
d) 3.174E+01 μC
e) 3.492E+01 μC
10)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.8 m, y=y1=4.2 m, z=z0=1.3 m, and z=z1=5.8 m. The surfaces in the yz plane each have area 11.0m2. Those in the xy plane have area 4.8m2 ,and those in the zx plane have area 9.0m2. An electric field has the xyz components (0, 6.1, 5.6) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.125E+01 N·m2/C
b) 4.537E+01 N·m2/C
c) 4.991E+01 N·m2/C
d) 5.490E+01 N·m2/C
e) 6.039E+01 N·m2/C

T6 L2[edit]

1)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.1 m, y=y1=4.8 m, z=z0=1.8 m, and z=z1=4.8 m. The surfaces in the yz plane each have area 11.0m2. Those in the xy plane have area 8.9m2 ,and those in the zx plane have area 7.2m2. An electric field has the xyz components (0, 5.9, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.901E+01 N·m2/C
b) 3.192E+01 N·m2/C
c) 3.511E+01 N·m2/C
d) 3.862E+01 N·m2/C
e) 4.248E+01 N·m2/C
2)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.96 m if a=0.95 m, b=1.8 m. The total charge on the rod is 7 nC.
a) 3.385E+00 V/m2
b) 3.724E+00 V/m2
c) 4.096E+00 V/m2
d) 4.506E+00 V/m2
e) 4.957E+00 V/m2

3) Calculate the drift speed of electrons in a copper wire with a diameter of 2.72 mm carrying a 16.2 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 2.087E-04 m/s
b) 2.295E-04 m/s
c) 2.525E-04 m/s
d) 2.777E-04 m/s
e) 3.055E-04 m/s
4)
VFPt dipole electric manylines cropped.svg
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
5)
Kirchhoff loop w external current.svg
Two sources of emf ε1=18.2 V, and ε2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 kΩ and R2=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.299E+00 mA
b) 1.429E+00 mA
c) 1.572E+00 mA
d) 1.729E+00 mA
e) 1.902E+00 mA

6) What is the average current involved when a truck battery sets in motion 760 C of charge in 5.35 s while starting an engine?

a) 1.291E+02 A
b) 1.421E+02 A
c) 1.563E+02 A
d) 1.719E+02 A
e) 1.891E+02 A
7)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=19.6 V, R1=1.45 Ω, R2=7.85 Ω, and R3=15.8 Ω. What is the power dissipated by R2?
a) 2.730E+01 W
b) 3.003E+01 W
c) 3.304E+01 W
d) 3.634E+01 W
e) 3.998E+01 W

8) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=5, y=0), (x=0, y=7), and (x=5, y=7), where x and y are measured in meters. The electric field is,

a) 1.128E+04 V·m
b) 1.241E+04 V·m
c) 1.365E+04 V·m
d) 1.502E+04 V·m
e) 1.652E+04 V·m
9)
DC circuit 3 cappies1 voltage source.svg
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

10) 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

T6 M0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.914E+01 degrees
b) 6.506E+01 degrees
c) 7.157E+01 degrees
d) 7.872E+01 degrees
e) 8.659E+01 degrees
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.8 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=4.5 m, z=z0=1.5 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 9.8m2. Those in the xy plane have area 7.8m2 ,and those in the zx plane have area 9.8m2. An electric field has the xyz components (0, 6.1, 9.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 5.978E+01 N·m2/C
b) 6.576E+01 N·m2/C
c) 7.233E+01 N·m2/C
d) 7.957E+01 N·m2/C
e) 8.752E+01 N·m2/C
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.8 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.9 m, z=z0=1.3 m, and z=z1=5.2 m. The surfaces in the yz plane each have area 18.0m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 7.0m2. An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 49° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.777E+01 N·m2/C
b) 5.254E+01 N·m2/C
c) 5.780E+01 N·m2/C
d) 6.358E+01 N·m2/C
e) 6.993E+01 N·m2/C

4) 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

5) Calculate the final speed of a free electron accelerated from rest through a potential difference of 30 V.

a) 2.441E+06 m/s
b) 2.685E+06 m/s
c) 2.953E+06 m/s
d) 3.249E+06 m/s
e) 3.573E+06 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) What is consumer cost to operate one 56−W incandescent bulb for 6 hours per day for 1 year (365 days) if the cost of electricity is $0.13 per kilowatt-hour?

a) $1.198E+01
b) $1.318E+01
c) $1.449E+01
d) $1.594E+01
e) $1.754E+01

8) What is the average current involved when a truck battery sets in motion 669 C of charge in 4.3 s while starting an engine?

a) 1.063E+02 A
b) 1.169E+02 A
c) 1.286E+02 A
d) 1.414E+02 A
e) 1.556E+02 A
9)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.34 Ω, R2= 1.34 Ω, and R2= 2.94 Ω. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.541 V. What is the absolute value of the current through R1?
a) 1.464E-01 A
b) 1.610E-01 A
c) 1.772E-01 A
d) 1.949E-01 A
e) 2.144E-01 A
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=24.4 V, and ε2=6.73 V are oriented as shownin the circuit. The resistances are R1=5.7 kΩ and R2=1.95 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.36 mA and I4=0.418 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 5.418E+00 V
b) 5.960E+00 V
c) 6.556E+00 V
d) 7.212E+00 V
e) 7.933E+00 V

T6 M1[edit]

1) 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
2)
Kirchhoff loop w external current.svg
Two sources of emf ε1=14.3 V, and ε2=5.6 V are oriented as shownin the circuit. The resistances are R1=5.31 kΩ and R2=2.39 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.12 mA and I4=0.284 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 3.416E+00 V
b) 3.757E+00 V
c) 4.133E+00 V
d) 4.546E+00 V
e) 5.001E+00 V
3)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.41 Ω, R2= 1.74 Ω, and R2= 3.35 Ω. V1 and V3 are text 0.508 V and 1.36 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.595 V. What is the absolute value of the current through R1?
a) 1.203E-01 A
b) 1.324E-01 A
c) 1.456E-01 A
d) 1.602E-01 A
e) 1.762E-01 A
4)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.569E+01 degrees
b) 6.125E+01 degrees
c) 6.738E+01 degrees
d) 7.412E+01 degrees
e) 8.153E+01 degrees

5) What is the average current involved when a truck battery sets in motion 728 C of charge in 3.94 s while starting an engine?

a) 1.848E+02 A
b) 2.032E+02 A
c) 2.236E+02 A
d) 2.459E+02 A
e) 2.705E+02 A
6)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.6 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=4.4 m, z=z0=1.5 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 4.6m2 ,and those in the zx plane have area 6.4m2. An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 39° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.222E+01 N·m2/C
b) 3.544E+01 N·m2/C
c) 3.899E+01 N·m2/C
d) 4.289E+01 N·m2/C
e) 4.718E+01 N·m2/C

7) What is consumer cost to operate one 87−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.117 per kilowatt-hour?

a) $2.791E+01
b) $3.071E+01
c) $3.378E+01
d) $3.715E+01
e) $4.087E+01

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)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.2 m, z=z0=1.8 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 6.0m2. An electric field has the xyz components (0, 8.7, 8.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.730E+01 N·m2/C
b) 5.203E+01 N·m2/C
c) 5.723E+01 N·m2/C
d) 6.295E+01 N·m2/C
e) 6.925E+01 N·m2/C

10) 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

T6 M2[edit]

1) What is the average current involved when a truck battery sets in motion 618 C of charge in 2.28 s while starting an engine?

a) 2.240E+02 A
b) 2.464E+02 A
c) 2.711E+02 A
d) 2.982E+02 A
e) 3.280E+02 A

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) What is consumer cost to operate one 87−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.117 per kilowatt-hour?

a) $2.791E+01
b) $3.071E+01
c) $3.378E+01
d) $3.715E+01
e) $4.087E+01
4)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.2 m. The other four surfaces are rectangles in y=y0=1.8 m, y=y1=5.3 m, z=z0=1.2 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 7.7m2 ,and those in the zx plane have area 9.5m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 50° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 5.989E+01 N·m2/C
b) 6.588E+01 N·m2/C
c) 7.247E+01 N·m2/C
d) 7.971E+01 N·m2/C
e) 8.769E+01 N·m2/C

5) 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
6)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.569E+01 degrees
b) 6.125E+01 degrees
c) 6.738E+01 degrees
d) 7.412E+01 degrees
e) 8.153E+01 degrees
7)
Kirchhoff loop w external current.svg
Two sources of emf ε1=34.7 V, and ε2=13.9 V are oriented as shownin the circuit. The resistances are R1=3.68 kΩ and R2=1.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=5.68 mA and I4=0.933 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 9.286E+00 V
b) 1.021E+01 V
c) 1.124E+01 V
d) 1.236E+01 V
e) 1.360E+01 V
8)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.5 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=5.3 m, z=z0=1.3 m, and z=z1=4.3 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 10.0m2 ,and those in the zx plane have area 7.5m2. An electric field has the xyz components (0, 9.7, 9.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.614E+01 N·m2/C
b) 7.275E+01 N·m2/C
c) 8.003E+01 N·m2/C
d) 8.803E+01 N·m2/C
e) 9.683E+01 N·m2/C
9)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.04 Ω, R2= 1.19 Ω, and R2= 2.5 Ω. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.602 V. What is the absolute value of the current through R1?
a) 1.401E-01 A
b) 1.542E-01 A
c) 1.696E-01 A
d) 1.865E-01 A
e) 2.052E-01 A

10) 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

T6 N0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.248E-14 N
b) 2.473E-14 N
c) 2.721E-14 N
d) 2.993E-14 N
e) 3.292E-14 N

2) A non-conducting sphere of radius R=3.0 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.2 (r≤R) where a=2 nC·m-1.8. What is the magnitude of the electric field at a distance of 2.1 m from the center?

a) 2.274E+02 N/C
b) 2.501E+02 N/C
c) 2.751E+02 N/C
d) 3.026E+02 N/C
e) 3.329E+02 N/C
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.1 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.6 m, z=z0=1.8 m, and z=z1=4.2 m. The surfaces in the yz plane each have area 9.4m2. Those in the xy plane have area 8.2m2 ,and those in the zx plane have area 5.0m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 29° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.186E+01 N·m2/C
b) 2.404E+01 N·m2/C
c) 2.645E+01 N·m2/C
d) 2.909E+01 N·m2/C
e) 3.200E+01 N·m2/C
4)
Four charges at corners of rectangle.svg
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)
Electron Gun with Wehnelt Cylinder.svg
An electron gun has parallel plates separated by 2.68 cm and gives electrons 29 keV of energy. What force would the field between the plates exert on a 0.496 μC charge that gets between the plates?
a) 5.367E-01 N
b) 5.904E-01 N
c) 6.494E-01 N
d) 7.144E-01 N
e) 7.858E-01 N

6) 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

7) What is consumer cost to operate one 79−W incandescent bulb for 9 hours per day for 1 year (365 days) if the cost of electricity is $0.142 per kilowatt-hour?

a) $2.517E+01
b) $2.769E+01
c) $3.046E+01
d) $3.350E+01
e) $3.685E+01

8) Calculate the resistance of a 12-gauge copper wire that is 42 m long and carries a current of 63 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 1.938E-01 Ω
b) 2.132E-01 Ω
c) 2.345E-01 Ω
d) 2.579E-01 Ω
e) 2.837E-01 Ω

9) A battery with a terminal voltage of 13.2 V is connected to a circuit consisting of 3 15.7 Ω resistors and one 10.3 Ω resistor. What is the voltage drop across the 10.3 Ω resistor?

a) 1.958E+00 V
b) 2.153E+00 V
c) 2.369E+00 V
d) 2.606E+00 V
e) 2.866E+00 V

10) Three resistors, R1 = 1.82 Ω, and R2 = R2 = 4.14 Ω, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 1.754E+01 W
b) 1.929E+01 W
c) 2.122E+01 W
d) 2.335E+01 W
e) 2.568E+01 W

T6 N1[edit]

1)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.1 m. The other four surfaces are rectangles in y=y0=1.1 m, y=y1=5.3 m, z=z0=1.1 m, and z=z1=4.3 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 8.8m2 ,and those in the zx plane have area 6.7m2. An electric field of magnitude 10 N/C has components in the y and z directions and is directed at 39° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.924E+01 N·m2/C
b) 4.316E+01 N·m2/C
c) 4.748E+01 N·m2/C
d) 5.222E+01 N·m2/C
e) 5.745E+01 N·m2/C

2) A non-conducting sphere of radius R=1.4 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.6 (r≤R) where a=3 nC·m-1.4. What is the magnitude of the electric field at a distance of 1.3 m from the center?

a) 1.457E+02 N/C
b) 1.603E+02 N/C
c) 1.763E+02 N/C
d) 1.939E+02 N/C
e) 2.133E+02 N/C
3)
Electron Gun with Wehnelt Cylinder.svg
An electron gun has parallel plates separated by 5.31 cm and gives electrons 41 keV of energy. What force would the field between the plates exert on a 0.368 μC charge that gets between the plates?
a) 2.348E-01 N
b) 2.583E-01 N
c) 2.841E-01 N
d) 3.126E-01 N
e) 3.438E-01 N

4) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 Ω resistors and one 9.58 Ω resistor. What is the voltage drop across the 9.58 Ω resistor?

a) 1.677E+00 V
b) 1.844E+00 V
c) 2.029E+00 V
d) 2.231E+00 V
e) 2.455E+00 V
5)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 5.243E-14 N
b) 5.768E-14 N
c) 6.344E-14 N
d) 6.979E-14 N
e) 7.677E-14 N

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) Three resistors, R1 = 1.43 Ω, and R2 = R2 = 3.25 Ω, are connected in parallel to a 9.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 5.184E+01 W
b) 5.702E+01 W
c) 6.272E+01 W
d) 6.900E+01 W
e) 7.590E+01 W

8) What is consumer cost to operate one 76−W incandescent bulb for 9 hours per day for 1 year (365 days) if the cost of electricity is $0.144 per kilowatt-hour?

a) $3.595E+01
b) $3.955E+01
c) $4.350E+01
d) $4.785E+01
e) $5.264E+01

9) Calculate the resistance of a 12-gauge copper wire that is 19 m long and carries a current of 59 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 7.970E-02 Ω
b) 8.767E-02 Ω
c) 9.644E-02 Ω
d) 1.061E-01 Ω
e) 1.167E-01 Ω
10)
Four charges at corners of rectangle.svg
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

T6 N2[edit]

1) A non-conducting sphere of radius R=1.5 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.5 (r≤R) where a=2 nC·m-1.5. What is the magnitude of the electric field at a distance of 0.73 m from the center?

a) 2.285E+01 N/C
b) 2.514E+01 N/C
c) 2.765E+01 N/C
d) 3.042E+01 N/C
e) 3.346E+01 N/C
2)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 3.876E-14 N
b) 4.263E-14 N
c) 4.690E-14 N
d) 5.159E-14 N
e) 5.675E-14 N

3) 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
4)
Electron Gun with Wehnelt Cylinder.svg
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
5)
Four charges at corners of rectangle.svg
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=5 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 3.444E+01 J
b) 3.789E+01 J
c) 4.168E+01 J
d) 4.585E+01 J
e) 5.043E+01 J
6)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.9 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=5.1 m, z=z0=1.3 m, and z=z1=4.7 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 6.6m2 ,and those in the zx plane have area 6.5m2. An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 46° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 5.385E+01 N·m2/C
b) 5.923E+01 N·m2/C
c) 6.516E+01 N·m2/C
d) 7.167E+01 N·m2/C
e) 7.884E+01 N·m2/C

7) Calculate the resistance of a 12-gauge copper wire that is 15 m long and carries a current of 27 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 5.200E-02 Ω
b) 5.720E-02 Ω
c) 6.292E-02 Ω
d) 6.921E-02 Ω
e) 7.613E-02 Ω

8) Three resistors, R1 = 0.906 Ω, and R2 = R2 = 2.02 Ω, are connected in parallel to a 5.98 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 3.262E+01 W
b) 3.588E+01 W
c) 3.947E+01 W
d) 4.342E+01 W
e) 4.776E+01 W

9) What is consumer cost to operate one 104−W incandescent bulb for 6 hours per day for 1 year (365 days) if the cost of electricity is $0.136 per kilowatt-hour?

a) $2.116E+01
b) $2.327E+01
c) $2.560E+01
d) $2.816E+01
e) $3.098E+01

10) A battery with a terminal voltage of 8.72 V is connected to a circuit consisting of 2 15.8 Ω resistors and one 9.58 Ω resistor. What is the voltage drop across the 9.58 Ω resistor?

a) 1.677E+00 V
b) 1.844E+00 V
c) 2.029E+00 V
d) 2.231E+00 V
e) 2.455E+00 V

T6 O0[edit]

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 5.134E-01 V/m2
b) 5.648E-01 V/m2
c) 6.212E-01 V/m2
d) 6.834E-01 V/m2
e) 7.517E-01 V/m2
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.6 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.9 m, z=z0=1.9 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 12.0m2 ,and those in the zx plane have area 8.1m2. An electric field has the xyz components (0, 8.1, 6.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.529E+01 N·m2/C
b) 7.181E+01 N·m2/C
c) 7.900E+01 N·m2/C
d) 8.690E+01 N·m2/C
e) 9.559E+01 N·m2/C
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.4 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.8 m, z=z0=1.2 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 17.0m2. Those in the xy plane have area 6.4m2 ,and those in the zx plane have area 5.3m2. An electric field of magnitude 5 N/C has components in the y and z directions and is directed at 25° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.992E+01 N·m2/C
b) 2.192E+01 N·m2/C
c) 2.411E+01 N·m2/C
d) 2.652E+01 N·m2/C
e) 2.917E+01 N·m2/C

4) A 3 C charge is separated from a 9 C charge by distance of 13 cm. What is the work done by increasing this separation to 21 cm?

a) 6.465E-07 J
b) 7.111E-07 J
c) 7.822E-07 J
d) 8.604E-07 J
e) 9.465E-07 J
5)
Four charges at corners of rectangle.svg
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=4 μC, q2=7 μC, q3=8 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 4.235E+01 J
b) 4.659E+01 J
c) 5.125E+01 J
d) 5.637E+01 J
e) 6.201E+01 J
6)
Three cappies openstax example.svg
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

7) Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.75 Ω at a temperature of 24°C and that the temperature coefficient of expansion is 4.300E-03 (°C)−1). What is the resistance at a temperature of 423 °C?

a) 1.018E+01 Ω
b) 1.069E+01 Ω
c) 1.123E+01 Ω
d) 1.179E+01 Ω
e) 1.238E+01 Ω

8) The charge passing a plane intersecting a wire is , where =27 C and 0.0154 s. What is the current at 0.0177 s?

a) 4.591E+02 A
b) 5.050E+02 A
c) 5.555E+02 A
d) 6.111E+02 A
e) 6.722E+02 A
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=40.3 V, and ε2=16.8 V are oriented as shownin the circuit. The resistances are R1=2.57 kΩ and R2=2.25 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.96 mA and I4=0.752 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.825E+00 mA
b) 2.007E+00 mA
c) 2.208E+00 mA
d) 2.429E+00 mA
e) 2.672E+00 mA

10) Three resistors, R1 = 0.61 Ω, and R2 = R2 = 1.35 Ω, are connected in parallel to a 7.04 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 7.386E+01 W
b) 8.125E+01 W
c) 8.937E+01 W
d) 9.831E+01 W
e) 1.081E+02 W

T6 O1[edit]

1) Imagine a substance could be made into a very hot filament. Suppose the resitance is 5.73 Ω at a temperature of 99°C and that the temperature coefficient of expansion is 5.260E-03 (°C)−1). What is the resistance at a temperature of 420 °C?

a) 1.267E+01 Ω
b) 1.331E+01 Ω
c) 1.397E+01 Ω
d) 1.467E+01 Ω
e) 1.540E+01 Ω

2) The charge passing a plane intersecting a wire is , where =63 C and 0.0149 s. What is the current at 0.0172 s?

a) 1.212E+03 A
b) 1.333E+03 A
c) 1.466E+03 A
d) 1.613E+03 A
e) 1.774E+03 A

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)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 8.253E-01 V/m2
b) 9.079E-01 V/m2
c) 9.987E-01 V/m2
d) 1.099E+00 V/m2
e) 1.208E+00 V/m2
5)
Four charges at corners of rectangle.svg
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

6) Three resistors, R1 = 0.548 Ω, and R2 = R2 = 1.24 Ω, are connected in parallel to a 7.16 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 7.029E+01 W
b) 7.731E+01 W
c) 8.505E+01 W
d) 9.355E+01 W
e) 1.029E+02 W
7)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.9 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=5.1 m, z=z0=1.3 m, and z=z1=4.7 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 6.6m2 ,and those in the zx plane have area 6.5m2. An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 46° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 5.385E+01 N·m2/C
b) 5.923E+01 N·m2/C
c) 6.516E+01 N·m2/C
d) 7.167E+01 N·m2/C
e) 7.884E+01 N·m2/C
8)
Kirchhoff loop w external current.svg
Two sources of emf ε1=39.0 V, and ε2=15.9 V are oriented as shownin the circuit. The resistances are R1=3.4 kΩ and R2=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.58 mA and I4=0.978 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 2.150E+00 mA
b) 2.365E+00 mA
c) 2.602E+00 mA
d) 2.862E+00 mA
e) 3.148E+00 mA
9)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.8 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=5.0 m, z=z0=1.6 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 6.5m2 ,and those in the zx plane have area 7.7m2. An electric field has the xyz components (0, 8.0, 9.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.192E+01 N·m2/C
b) 6.811E+01 N·m2/C
c) 7.492E+01 N·m2/C
d) 8.242E+01 N·m2/C
e) 9.066E+01 N·m2/C
10)
Three cappies openstax example.svg
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

T6 O2[edit]

1) Three resistors, R1 = 1.2 Ω, and R2 = R2 = 2.75 Ω, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 2.581E+01 W
b) 2.839E+01 W
c) 3.122E+01 W
d) 3.435E+01 W
e) 3.778E+01 W
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.5 m, z=z0=1.7 m, and z=z1=5.1 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 9.9m2 ,and those in the zx plane have area 7.8m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 58° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.698E+01 N·m2/C
b) 1.868E+01 N·m2/C
c) 2.055E+01 N·m2/C
d) 2.260E+01 N·m2/C
e) 2.486E+01 N·m2/C
3)
Kirchhoff loop w external current.svg
Two sources of emf ε1=49.6 V, and ε2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 kΩ and R2=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 3.055E+00 mA
b) 3.360E+00 mA
c) 3.696E+00 mA
d) 4.066E+00 mA
e) 4.472E+00 mA

4) Imagine a substance could be made into a very hot filament. Suppose the resitance is 4.08 Ω at a temperature of 26°C and that the temperature coefficient of expansion is 4.800E-03 (°C)−1). What is the resistance at a temperature of 388 °C?

a) 1.064E+01 Ω
b) 1.117E+01 Ω
c) 1.173E+01 Ω
d) 1.231E+01 Ω
e) 1.293E+01 Ω
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=5.3 m, z=z0=1.3 m, and z=z1=5.6 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 4.8m2 ,and those in the zx plane have area 5.6m2. An electric field has the xyz components (0, 5.5, 9.1) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.074E+01 N·m2/C
b) 3.382E+01 N·m2/C
c) 3.720E+01 N·m2/C
d) 4.092E+01 N·m2/C
e) 4.501E+01 N·m2/C
6)
Three cappies openstax example.svg
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

7) A 9 C charge is separated from a 16 C charge by distance of 10 cm. What is the work done by increasing this separation to 16 cm?

a) 4.853E-06 J
b) 5.339E-06 J
c) 5.872E-06 J
d) 6.460E-06 J
e) 7.106E-06 J

8)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 7.517E+00 V/m2
b) 8.269E+00 V/m2
c) 9.096E+00 V/m2
d) 1.001E+01 V/m2
e) 1.101E+01 V/m2

9) The charge passing a plane intersecting a wire is , where =38 C and 0.0167 s. What is the current at 0.0183 s?

a) 5.715E+02 A
b) 6.286E+02 A
c) 6.915E+02 A
d) 7.606E+02 A
e) 8.367E+02 A
10)
Four charges at corners of rectangle.svg
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=4 μC, q2=7 μC, q3=8 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 4.235E+01 J
b) 4.659E+01 J
c) 5.125E+01 J
d) 5.637E+01 J
e) 6.201E+01 J

T6 P0[edit]

1)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 2.567E+01 V/m2
b) 2.824E+01 V/m2
c) 3.106E+01 V/m2
d) 3.417E+01 V/m2
e) 3.759E+01 V/m2
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.8 m. The other four surfaces are rectangles in y=y0=1.1 m, y=y1=4.9 m, z=z0=1.3 m, and z=z1=5.6 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 6.8m2 ,and those in the zx plane have area 7.7m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 57° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.898E+01 N·m2/C
b) 7.588E+01 N·m2/C
c) 8.347E+01 N·m2/C
d) 9.181E+01 N·m2/C
e) 1.010E+02 N·m2/C
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.5 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.8 m, z=z0=1.7 m, and z=z1=4.6 m. The surfaces in the yz plane each have area 9.9m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 7.2m2. An electric field of magnitude 14 N/C has components in the y and z directions and is directed at 55° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 8.314E+01 N·m2/C
b) 9.146E+01 N·m2/C
c) 1.006E+02 N·m2/C
d) 1.107E+02 N·m2/C
e) 1.217E+02 N·m2/C
4)
VFPt dipole electric manylines cropped.svg
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
5)
Four charges at corners of rectangle.svg
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
6)
DC circuit 3 cappies1 voltage source.svg
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

7) Calculate the electric field in a 12-gauge copper wire that is 41 m long and carries a current of 71 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 3.604E-04 V/m
b) 3.964E-04 V/m
c) 4.360E-04 V/m
d) 4.796E-04 V/m
e) 5.276E-04 V/m

8) What is consumer cost to operate one 59−W incandescent bulb for 10 hours per day for 1 year (365 days) if the cost of electricity is $0.132 per kilowatt-hour?

a) $2.584E+01
b) $2.843E+01
c) $3.127E+01
d) $3.440E+01
e) $3.784E+01
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=34.7 V, and ε2=13.9 V are oriented as shownin the circuit. The resistances are R1=3.68 kΩ and R2=1.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=5.68 mA and I4=0.933 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 9.286E+00 V
b) 1.021E+01 V
c) 1.124E+01 V
d) 1.236E+01 V
e) 1.360E+01 V
10)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=19.6 V, R1=1.45 Ω, R2=7.85 Ω, and R3=15.8 Ω. What is the power dissipated by R2?
a) 2.730E+01 W
b) 3.003E+01 W
c) 3.304E+01 W
d) 3.634E+01 W
e) 3.998E+01 W

T6 P1[edit]

1)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=15.4 μF, C2=2.6 μF, and C3=5.17 μF. The voltage source provides ε=9.6 V. What is the energy stored in C2?
a) 1.508E+01 μJ
b) 1.659E+01 μJ
c) 1.825E+01 μJ
d) 2.007E+01 μJ
e) 2.208E+01 μJ

2) What is consumer cost to operate one 79−W incandescent bulb for 9 hours per day for 1 year (365 days) if the cost of electricity is $0.142 per kilowatt-hour?

a) $2.517E+01
b) $2.769E+01
c) $3.046E+01
d) $3.350E+01
e) $3.685E+01
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.1 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.6 m, z=z0=1.8 m, and z=z1=4.2 m. The surfaces in the yz plane each have area 9.4m2. Those in the xy plane have area 8.2m2 ,and those in the zx plane have area 5.0m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 29° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.186E+01 N·m2/C
b) 2.404E+01 N·m2/C
c) 2.645E+01 N·m2/C
d) 2.909E+01 N·m2/C
e) 3.200E+01 N·m2/C

4) Calculate the electric field in a 12-gauge copper wire that is 23 m long and carries a current of 64 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.953E-04 V/m
b) 3.248E-04 V/m
c) 3.573E-04 V/m
d) 3.930E-04 V/m
e) 4.324E-04 V/m
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=5.7 m, z=z0=1.9 m, and z=z1=5.4 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 11.0m2 ,and those in the zx plane have area 8.4m2. An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 26° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.012E+01 N·m2/C
b) 2.213E+01 N·m2/C
c) 2.435E+01 N·m2/C
d) 2.678E+01 N·m2/C
e) 2.946E+01 N·m2/C
6)
Four charges at corners of rectangle.svg
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=5 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 3.444E+01 J
b) 3.789E+01 J
c) 4.168E+01 J
d) 4.585E+01 J
e) 5.043E+01 J
7)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=16.2 V, R1=2.84 Ω, R2=7.06 Ω, and R3=13.1 Ω. What is the power dissipated by R2?
a) 1.418E+01 W
b) 1.560E+01 W
c) 1.716E+01 W
d) 1.887E+01 W
e) 2.076E+01 W

8)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 5.647E+00 V/m2
b) 6.212E+00 V/m2
c) 6.833E+00 V/m2
d) 7.517E+00 V/m2
e) 8.268E+00 V/m2
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=67.2 V, and ε2=18.7 V are oriented as shownin the circuit. The resistances are R1=3.45 kΩ and R2=1.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=9.49 mA and I4=1.81 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 1.906E+01 V
b) 2.097E+01 V
c) 2.306E+01 V
d) 2.537E+01 V
e) 2.790E+01 V
10)
VFPt dipole electric manylines cropped.svg
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

T6 P2[edit]

1)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.57 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=3.59 cm, y=1.78 cm)? Note that following the textbook's example, the y-value of the field point at 1.78 cm matches the disance of the positive charge above the x-axis.
a) 2.727E+02 V
b) 2.999E+02 V
c) 3.299E+02 V
d) 3.629E+02 V
e) 3.992E+02 V
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=4.4 m, z=z0=1.3 m, and z=z1=4.2 m. The surfaces in the yz plane each have area 9.0m2. Those in the xy plane have area 6.2m2 ,and those in the zx plane have area 5.8m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 32° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.695E+01 N·m2/C
b) 4.065E+01 N·m2/C
c) 4.472E+01 N·m2/C
d) 4.919E+01 N·m2/C
e) 5.411E+01 N·m2/C
3)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=15.8 V, R1=1.86 Ω, R2=7.66 Ω, and R3=12.9 Ω. What is the power dissipated by R2?
a) 1.157E+01 W
b) 1.273E+01 W
c) 1.400E+01 W
d) 1.540E+01 W
e) 1.694E+01 W

4)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 1.606E+00 V/m2
b) 1.767E+00 V/m2
c) 1.943E+00 V/m2
d) 2.138E+00 V/m2
e) 2.351E+00 V/m2
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.8 m, y=y1=5.8 m, z=z0=1.9 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 8.0m2 ,and those in the zx plane have area 8.0m2. An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 39° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.662E+01 N·m2/C
b) 4.028E+01 N·m2/C
c) 4.430E+01 N·m2/C
d) 4.873E+01 N·m2/C
e) 5.361E+01 N·m2/C
6)
Kirchhoff loop w external current.svg
Two sources of emf ε1=17.3 V, and ε2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 kΩ and R2=2.79 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 6.488E+00 V
b) 7.137E+00 V
c) 7.850E+00 V
d) 8.635E+00 V
e) 9.499E+00 V
7)
Four charges at corners of rectangle.svg
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=6 μC, q3=9 μC, and q4=12 μC. How much work was required to assemble these four charges from infinity?
a) 7.789E+01 J
b) 8.568E+01 J
c) 9.425E+01 J
d) 1.037E+02 J
e) 1.140E+02 J

8) Calculate the electric field in a 12-gauge copper wire that is 13 m long and carries a current of 59 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.250E-04 V/m
b) 2.475E-04 V/m
c) 2.722E-04 V/m
d) 2.995E-04 V/m
e) 3.294E-04 V/m
9)
DC circuit 3 cappies1 voltage source.svg
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

10) What is consumer cost to operate one 102−W incandescent bulb for 5 hours per day for 1 year (365 days) if the cost of electricity is $0.149 per kilowatt-hour?

a) $2.292E+01
b) $2.521E+01
c) $2.774E+01
d) $3.051E+01
e) $3.356E+01

T6 Q0[edit]

1)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.2 m (on axis) away from the loop's center?
a) 6.925E+09 N/C2
b) 7.617E+09 N/C2
c) 8.379E+09 N/C2
d) 9.217E+09 N/C2
e) 1.014E+10 N/C2
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.8 m, z=z0=1.3 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 9.8m2 ,and those in the zx plane have area 7.4m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 46° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 8.457E+01 N·m2/C
b) 9.303E+01 N·m2/C
c) 1.023E+02 N·m2/C
d) 1.126E+02 N·m2/C
e) 1.238E+02 N·m2/C

3) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=7), and (x=7, y=7), where x and y are measured in meters. The electric field is,

a) 8.731E+02 V·m
b) 9.604E+02 V·m
c) 1.056E+03 V·m
d) 1.162E+03 V·m
e) 1.278E+03 V·m

4) 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

5) Two large parallel conducting plates are separated by 9.58 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 84 V?

a) 6.644E-01 mm
b) 7.641E-01 mm
c) 8.787E-01 mm
d) 1.011E+00 mm
e) 1.162E+00 mm

6) 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

7) A DC winch moter draws 27 amps at 190 volts as it lifts a 4.910E+03 N weight at a constant speed of 0.769 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

a) 1.396E+00 Ω
b) 1.535E+00 Ω
c) 1.689E+00 Ω
d) 1.858E+00 Ω
e) 2.043E+00 Ω

8) What is the average current involved when a truck battery sets in motion 821 C of charge in 5.51 s while starting an engine?

a) 1.231E+02 A
b) 1.355E+02 A
c) 1.490E+02 A
d) 1.639E+02 A
e) 1.803E+02 A
9)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=11.8 V, R1=2.38 Ω, R2=5.11 Ω, and R3=14.6 Ω. What is the power dissipated by R2?
a) 8.489E+00 W
b) 9.338E+00 W
c) 1.027E+01 W
d) 1.130E+01 W
e) 1.243E+01 W
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=40.6 V, and ε2=13.5 V are oriented as shownin the circuit. The resistances are R1=4.35 kΩ and R2=2.44 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.73 mA and I4=0.78 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.332E+00 mA
b) 1.465E+00 mA
c) 1.612E+00 mA
d) 1.773E+00 mA
e) 1.950E+00 mA

T6 Q1[edit]

1)
Kirchhoff loop w external current.svg
Two sources of emf ε1=43.0 V, and ε2=13.8 V are oriented as shownin the circuit. The resistances are R1=3.97 kΩ and R2=1.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=6.25 mA and I4=1.82 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 3.661E+00 mA
b) 4.027E+00 mA
c) 4.430E+00 mA
d) 4.873E+00 mA
e) 5.360E+00 mA
2)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.35 m (on axis) away from the loop's center?
a) 4.142E+09 N/C2
b) 4.556E+09 N/C2
c) 5.012E+09 N/C2
d) 5.513E+09 N/C2
e) 6.064E+09 N/C2

3) What is the average current involved when a truck battery sets in motion 537 C of charge in 5.08 s while starting an engine?

a) 8.736E+01 A
b) 9.610E+01 A
c) 1.057E+02 A
d) 1.163E+02 A
e) 1.279E+02 A
4)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=13.5 V, R1=2.66 Ω, R2=7.29 Ω, and R3=14.5 Ω. What is the power dissipated by R2?
a) 7.123E+00 W
b) 7.835E+00 W
c) 8.618E+00 W
d) 9.480E+00 W
e) 1.043E+01 W

5) Two large parallel conducting plates are separated by 7.14 mm. Equal and opposite surface charges of 7.660E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?

a) 4.031E-01 mm
b) 4.636E-01 mm
c) 5.332E-01 mm
d) 6.131E-01 mm
e) 7.051E-01 mm
6)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.8 m, z=z0=1.3 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 9.8m2 ,and those in the zx plane have area 7.4m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 46° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 8.457E+01 N·m2/C
b) 9.303E+01 N·m2/C
c) 1.023E+02 N·m2/C
d) 1.126E+02 N·m2/C
e) 1.238E+02 N·m2/C

7) 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

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 DC winch moter draws 18 amps at 126 volts as it lifts a 5.830E+03 N weight at a constant speed of 0.26 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

a) 1.919E+00 Ω
b) 2.111E+00 Ω
c) 2.322E+00 Ω
d) 2.554E+00 Ω
e) 2.809E+00 Ω

10) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=5, y=0), (x=0, y=7), and (x=5, y=7), where x and y are measured in meters. The electric field is,

a) 4.286E+03 V·m
b) 4.714E+03 V·m
c) 5.186E+03 V·m
d) 5.704E+03 V·m
e) 6.275E+03 V·m

T6 Q2[edit]

1)
Kirchhoff loop w external current.svg
Two sources of emf ε1=44.4 V, and ε2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 kΩ and R2=1.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 6.970E+00 mA
b) 7.667E+00 mA
c) 8.434E+00 mA
d) 9.277E+00 mA
e) 1.020E+01 mA

2) What is the average current involved when a truck battery sets in motion 889 C of charge in 3.64 s while starting an engine?

a) 2.442E+02 A
b) 2.687E+02 A
c) 2.955E+02 A
d) 3.251E+02 A
e) 3.576E+02 A
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.7 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.7 m, z=z0=1.4 m, and z=z1=4.8 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 7.1m2 ,and those in the zx plane have area 5.8m2. An electric field of magnitude 19 N/C has components in the y and z directions and is directed at 33° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.920E+01 N·m2/C
b) 7.612E+01 N·m2/C
c) 8.373E+01 N·m2/C
d) 9.210E+01 N·m2/C
e) 1.013E+02 N·m2/C
4)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=18.4 V, R1=1.64 Ω, R2=6.56 Ω, and R3=12.8 Ω. What is the power dissipated by R2?
a) 2.470E+01 W
b) 2.717E+01 W
c) 2.989E+01 W
d) 3.288E+01 W
e) 3.617E+01 W

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)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 5.402E+09 N/C2
b) 5.943E+09 N/C2
c) 6.537E+09 N/C2
d) 7.191E+09 N/C2
e) 7.910E+09 N/C2

7) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=6, y=0), (x=0, y=6), and (x=6, y=6), where x and y are measured in meters. The electric field is,

a) 9.952E+03 V·m
b) 1.095E+04 V·m
c) 1.204E+04 V·m
d) 1.325E+04 V·m
e) 1.457E+04 V·m

8) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?

a) 3.799E-01 mm
b) 4.368E-01 mm
c) 5.024E-01 mm
d) 5.777E-01 mm
e) 6.644E-01 mm

9) 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

10) A DC winch moter draws 24 amps at 159 volts as it lifts a 4.120E+03 N weight at a constant speed of 0.657 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

a) 1.447E+00 Ω
b) 1.591E+00 Ω
c) 1.751E+00 Ω
d) 1.926E+00 Ω
e) 2.118E+00 Ω

T6 R0[edit]

1) A large thin isolated square plate has an area of 9 m2. It is uniformly charged with 6 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 2.571E+01 N/C
b) 2.828E+01 N/C
c) 3.111E+01 N/C
d) 3.422E+01 N/C
e) 3.765E+01 N/C

2) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.0 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.5 m from the center of the shells?

a) 9.144E+00 N/C
b) 1.006E+01 N/C
c) 1.106E+01 N/C
d) 1.217E+01 N/C
e) 1.339E+01 N/C
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.8 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=4.5 m, z=z0=1.5 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 9.8m2. Those in the xy plane have area 7.8m2 ,and those in the zx plane have area 9.8m2. An electric field has the xyz components (0, 6.1, 9.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 5.978E+01 N·m2/C
b) 6.576E+01 N·m2/C
c) 7.233E+01 N·m2/C
d) 7.957E+01 N·m2/C
e) 8.752E+01 N·m2/C
4)
VFPt dipole electric manylines cropped.svg
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

5) 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

6) 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

7) Calculate the drift speed of electrons in a copper wire with a diameter of 4.49 mm carrying a 11.6 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 4.120E-05 m/s
b) 4.532E-05 m/s
c) 4.985E-05 m/s
d) 5.483E-05 m/s
e) 6.032E-05 m/s

8) A make-believe metal has a density of 1.180E+04 kg/m3 and an atomic mass of 121.0 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 4.010E+28 e/m3
b) 4.411E+28 e/m3
c) 4.852E+28 e/m3
d) 5.337E+28 e/m3
e) 5.871E+28 e/m3
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=30.3 V, and ε2=8.6 V are oriented as shownin the circuit. The resistances are R1=3.81 kΩ and R2=2.39 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.38 mA and I4=0.416 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 8.945E+00 V
b) 9.840E+00 V
c) 1.082E+01 V
d) 1.191E+01 V
e) 1.310E+01 V

10) A battery with a terminal voltage of 9.88 V is connected to a circuit consisting of 3 15.9 Ω resistors and one 10.8 Ω resistor. What is the voltage drop across the 10.8 Ω resistor?

a) 1.370E+00 V
b) 1.507E+00 V
c) 1.658E+00 V
d) 1.824E+00 V
e) 2.006E+00 V

T6 R1[edit]

1) A make-believe metal has a density of 2.670E+03 kg/m3 and an atomic mass of 40.9 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 3.930E+28 e/m3
b) 4.323E+28 e/m3
c) 4.755E+28 e/m3
d) 5.231E+28 e/m3
e) 5.754E+28 e/m3
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.8 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=4.5 m, z=z0=1.5 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 9.8m2. Those in the xy plane have area 7.8m2 ,and those in the zx plane have area 9.8m2. An electric field has the xyz components (0, 6.1, 9.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 5.978E+01 N·m2/C
b) 6.576E+01 N·m2/C
c) 7.233E+01 N·m2/C
d) 7.957E+01 N·m2/C
e) 8.752E+01 N·m2/C

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) Calculate the drift speed of electrons in a copper wire with a diameter of 3.3 mm carrying a 18.5 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 1.472E-04 m/s
b) 1.619E-04 m/s
c) 1.781E-04 m/s
d) 1.959E-04 m/s
e) 2.155E-04 m/s

5) A battery with a terminal voltage of 14.9 V is connected to a circuit consisting of 2 16.3 Ω resistors and one 9.8 Ω resistor. What is the voltage drop across the 9.8 Ω resistor?

a) 2.352E+00 V
b) 2.587E+00 V
c) 2.846E+00 V
d) 3.131E+00 V
e) 3.444E+00 V
6)
Kirchhoff loop w external current.svg
Two sources of emf ε1=57.0 V, and ε2=18.1 V are oriented as shownin the circuit. The resistances are R1=4.95 kΩ and R2=2.09 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.23 mA and I4=1.04 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 1.921E+01 V
b) 2.114E+01 V
c) 2.325E+01 V
d) 2.557E+01 V
e) 2.813E+01 V
7)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.57 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=3.59 cm, y=1.78 cm)? Note that following the textbook's example, the y-value of the field point at 1.78 cm matches the disance of the positive charge above the x-axis.
a) 2.727E+02 V
b) 2.999E+02 V
c) 3.299E+02 V
d) 3.629E+02 V
e) 3.992E+02 V

8) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 7.8 nano-Coulombs. What is the magnitude of the electric field at a distance of 1.3 m from the center of the shells?

a) 2.837E+01 N/C
b) 3.121E+01 N/C
c) 3.433E+01 N/C
d) 3.776E+01 N/C
e) 4.154E+01 N/C

9) A large thin isolated square plate has an area of 6 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 8.471E+01 N/C
b) 9.318E+01 N/C
c) 1.025E+02 N/C
d) 1.127E+02 N/C
e) 1.240E+02 N/C

10) 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

T6 R2[edit]

1) A battery with a terminal voltage of 7.63 V is connected to a circuit consisting of 2 15.9 Ω resistors and one 10.4 Ω resistor. What is the voltage drop across the 10.4 Ω resistor?

a) 1.709E+00 V
b) 1.880E+00 V
c) 2.068E+00 V
d) 2.275E+00 V
e) 2.503E+00 V

2) A make-believe metal has a density of 1.580E+04 kg/m3 and an atomic mass of 41.5 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 2.292E+29 e/m3
b) 2.521E+29 e/m3
c) 2.773E+29 e/m3
d) 3.051E+29 e/m3
e) 3.356E+29 e/m3
3)
VFPt dipole electric manylines cropped.svg
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
4)
Kirchhoff loop w external current.svg
Two sources of emf ε1=27.1 V, and ε2=8.04 V are oriented as shownin the circuit. The resistances are R1=2.94 kΩ and R2=1.61 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.87 mA and I4=0.57 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 8.482E+00 V
b) 9.330E+00 V
c) 1.026E+01 V
d) 1.129E+01 V
e) 1.242E+01 V
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.5 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=4.3 m, z=z0=1.3 m, and z=z1=5.1 m. The surfaces in the yz plane each have area 10.0m2. Those in the xy plane have area 4.0m2 ,and those in the zx plane have area 5.7m2. An electric field has the xyz components (0, 5.7, 7.5) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.249E+01 N·m2/C
b) 3.574E+01 N·m2/C
c) 3.931E+01 N·m2/C
d) 4.324E+01 N·m2/C
e) 4.757E+01 N·m2/C

6) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 9.546E+01 N/C
b) 1.050E+02 N/C
c) 1.155E+02 N/C
d) 1.271E+02 N/C
e) 1.398E+02 N/C

7) 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

8) 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

9) Calculate the drift speed of electrons in a copper wire with a diameter of 3.33 mm carrying a 13.8 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 8.910E-05 m/s
b) 9.801E-05 m/s
c) 1.078E-04 m/s
d) 1.186E-04 m/s
e) 1.305E-04 m/s

10) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 7.6 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.8 m from the center of the shells?

a) 1.017E+01 N/C
b) 1.118E+01 N/C
c) 1.230E+01 N/C
d) 1.353E+01 N/C
e) 1.488E+01 N/C

T6 S0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.767E+01 degrees
b) 6.343E+01 degrees
c) 6.978E+01 degrees
d) 7.676E+01 degrees
e) 8.443E+01 degrees

2) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 1.9 nano-Coulombs. What is the magnitude of the electric field at a distance of 2.1 m from the center of the shells?

a) 5.297E+00 N/C
b) 5.827E+00 N/C
c) 6.409E+00 N/C
d) 7.050E+00 N/C
e) 7.755E+00 N/C

3) A non-conducting sphere of radius R=1.7 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.5 (r≤R) where a=3 nC·m-1.5. What is the magnitude of the electric field at a distance of 0.64 m from the center?

a) 2.039E+01 N/C
b) 2.243E+01 N/C
c) 2.467E+01 N/C
d) 2.714E+01 N/C
e) 2.985E+01 N/C

4) When a 8.6 V battery operates a 2.76 W bulb, how many electrons pass through it each second?

a) 1.655E+18 electrons
b) 1.821E+18 electrons
c) 2.003E+18 electrons
d) 2.203E+18 electrons
e) 2.424E+18 electrons
5)
Four charges at corners of rectangle.svg
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
6)
DC circuit 3 cappies1 voltage source.svg
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

7) Calculate the resistance of a 12-gauge copper wire that is 69 m long and carries a current of 98 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.631E-01 Ω
b) 2.894E-01 Ω
c) 3.184E-01 Ω
d) 3.502E-01 Ω
e) 3.852E-01 Ω

8) Imagine a substance could be made into a very hot filament. Suppose the resitance is 1.98 Ω at a temperature of 92°C and that the temperature coefficient of expansion is 5.080E-03 (°C)−1). What is the resistance at a temperature of 455 °C?

a) 5.363E+00 Ω
b) 5.631E+00 Ω
c) 5.913E+00 Ω
d) 6.208E+00 Ω
e) 6.519E+00 Ω
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=30.3 V, and ε2=8.6 V are oriented as shownin the circuit. The resistances are R1=3.81 kΩ and R2=2.39 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.38 mA and I4=0.416 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 8.945E+00 V
b) 9.840E+00 V
c) 1.082E+01 V
d) 1.191E+01 V
e) 1.310E+01 V
10)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 301 V. If the combined external and internal resistance is 245 &Omega and the capacitance is 63 mF, how long will it take for the capacitor's voltage to reach 192.0 V?
a) 1.296E+01 s
b) 1.425E+01 s
c) 1.568E+01 s
d) 1.725E+01 s
e) 1.897E+01 s

T6 S1[edit]

1) Calculate the resistance of a 12-gauge copper wire that is 59 m long and carries a current of 26 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.995E-01 Ω
b) 3.294E-01 Ω
c) 3.623E-01 Ω
d) 3.986E-01 Ω
e) 4.384E-01 Ω
2)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 190 V. If the combined external and internal resistance is 255 &Omega and the capacitance is 54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?
a) 1.044E+01 s
b) 1.149E+01 s
c) 1.264E+01 s
d) 1.390E+01 s
e) 1.529E+01 s
3)
DC circuit 3 cappies1 voltage source.svg
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
4)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.243E+01 degrees
b) 5.767E+01 degrees
c) 6.343E+01 degrees
d) 6.978E+01 degrees
e) 7.676E+01 degrees

5) A non-conducting sphere of radius R=1.4 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.6 (r≤R) where a=3 nC·m-1.4. What is the magnitude of the electric field at a distance of 1.3 m from the center?

a) 1.457E+02 N/C
b) 1.603E+02 N/C
c) 1.763E+02 N/C
d) 1.939E+02 N/C
e) 2.133E+02 N/C
6)
Kirchhoff loop w external current.svg
Two sources of emf ε1=57.0 V, and ε2=18.1 V are oriented as shownin the circuit. The resistances are R1=4.95 kΩ and R2=2.09 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.23 mA and I4=1.04 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 1.921E+01 V
b) 2.114E+01 V
c) 2.325E+01 V
d) 2.557E+01 V
e) 2.813E+01 V

7) When a 8.6 V battery operates a 2.76 W bulb, how many electrons pass through it each second?

a) 1.655E+18 electrons
b) 1.821E+18 electrons
c) 2.003E+18 electrons
d) 2.203E+18 electrons
e) 2.424E+18 electrons

8) Imagine a substance could be made into a very hot filament. Suppose the resitance is 6.74 Ω at a temperature of 89°C and that the temperature coefficient of expansion is 4.990E-03 (°C)−1). What is the resistance at a temperature of 366 °C?

a) 1.529E+01 Ω
b) 1.606E+01 Ω
c) 1.686E+01 Ω
d) 1.770E+01 Ω
e) 1.859E+01 Ω

9) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 7.8 nano-Coulombs. What is the magnitude of the electric field at a distance of 1.3 m from the center of the shells?

a) 2.837E+01 N/C
b) 3.121E+01 N/C
c) 3.433E+01 N/C
d) 3.776E+01 N/C
e) 4.154E+01 N/C
10)
Four charges at corners of rectangle.svg
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=8 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 1.241E+02 J
b) 1.365E+02 J
c) 1.501E+02 J
d) 1.652E+02 J
e) 1.817E+02 J

T6 S2[edit]

1) Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.58 Ω at a temperature of 24°C and that the temperature coefficient of expansion is 5.520E-03 (°C)−1). What is the resistance at a temperature of 349 °C?

a) 9.526E+00 Ω
b) 1.000E+01 Ω
c) 1.050E+01 Ω
d) 1.103E+01 Ω
e) 1.158E+01 Ω
2)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.743E+01 degrees
b) 5.217E+01 degrees
c) 5.739E+01 degrees
d) 6.313E+01 degrees
e) 6.944E+01 degrees

3) Calculate the resistance of a 12-gauge copper wire that is 69 m long and carries a current of 98 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.631E-01 Ω
b) 2.894E-01 Ω
c) 3.184E-01 Ω
d) 3.502E-01 Ω
e) 3.852E-01 Ω
4)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 554 V. If the combined external and internal resistance is 228 &Omega and the capacitance is 93 mF, how long will it take for the capacitor's voltage to reach 450.0 V?
a) 3.224E+01 s
b) 3.547E+01 s
c) 3.902E+01 s
d) 4.292E+01 s
e) 4.721E+01 s

5) 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
6)
DC circuit 3 cappies1 voltage source.svg
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
7)
Kirchhoff loop w external current.svg
Two sources of emf ε1=39.2 V, and ε2=12.6 V are oriented as shownin the circuit. The resistances are R1=3.86 kΩ and R2=1.89 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.05 mA and I4=0.701 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 8.687E+00 V
b) 9.555E+00 V
c) 1.051E+01 V
d) 1.156E+01 V
e) 1.272E+01 V
8)
Four charges at corners of rectangle.svg
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

9) A non-conducting sphere of radius R=1.5 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.5 (r≤R) where a=2 nC·m-1.5. What is the magnitude of the electric field at a distance of 0.73 m from the center?

a) 2.285E+01 N/C
b) 2.514E+01 N/C
c) 2.765E+01 N/C
d) 3.042E+01 N/C
e) 3.346E+01 N/C

10) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 6.4 nano-Coulombs. What is the magnitude of the electric field at a distance of 1.1 m from the center of the shells?

a) 3.251E+01 N/C
b) 3.577E+01 N/C
c) 3.934E+01 N/C
d) 4.328E+01 N/C
e) 4.760E+01 N/C

T6 T0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 9.958E-15 N
b) 1.095E-14 N
c) 1.205E-14 N
d) 1.325E-14 N
e) 1.458E-14 N
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.1 m, y=y1=4.8 m, z=z0=1.8 m, and z=z1=4.8 m. The surfaces in the yz plane each have area 11.0m2. Those in the xy plane have area 8.9m2 ,and those in the zx plane have area 7.2m2. An electric field has the xyz components (0, 5.9, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.901E+01 N·m2/C
b) 3.192E+01 N·m2/C
c) 3.511E+01 N·m2/C
d) 3.862E+01 N·m2/C
e) 4.248E+01 N·m2/C
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=4.6 m, z=z0=1.6 m, and z=z1=5.8 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 7.1m2 ,and those in the zx plane have area 9.7m2. An electric field of magnitude 17 N/C has components in the y and z directions and is directed at 43° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 8.415E+01 N·m2/C
b) 9.256E+01 N·m2/C
c) 1.018E+02 N·m2/C
d) 1.120E+02 N·m2/C
e) 1.232E+02 N·m2/C

4) Calculate the final speed of a free electron accelerated from rest through a potential difference of 6 V.

a) 1.091E+06 m/s
b) 1.201E+06 m/s
c) 1.321E+06 m/s
d) 1.453E+06 m/s
e) 1.598E+06 m/s
5)
Four charges at corners of rectangle.svg
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=6 μC, q3=9 μC, and q4=12 μC. How much work was required to assemble these four charges from infinity?
a) 7.789E+01 J
b) 8.568E+01 J
c) 9.425E+01 J
d) 1.037E+02 J
e) 1.140E+02 J
6)
Three cappies openstax example.svg
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

7) Calculate the drift speed of electrons in a copper wire with a diameter of 4.38 mm carrying a 5.79 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 2.615E-05 m/s
b) 2.876E-05 m/s
c) 3.164E-05 m/s
d) 3.480E-05 m/s
e) 3.828E-05 m/s

8) A DC winch moter draws 12 amps at 129 volts as it lifts a 4.210E+03 N weight at a constant speed of 0.318 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

a) 9.924E-01 Ω
b) 1.092E+00 Ω
c) 1.201E+00 Ω
d) 1.321E+00 Ω
e) 1.453E+00 Ω
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=24.4 V, and ε2=6.73 V are oriented as shownin the circuit. The resistances are R1=5.7 kΩ and R2=1.95 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.36 mA and I4=0.418 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 5.418E+00 V
b) 5.960E+00 V
c) 6.556E+00 V
d) 7.212E+00 V
e) 7.933E+00 V
10)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.74 Ω, R2= 1.63 Ω, and R2= 2.75 Ω. V1 and V3 are text 0.485 V and 2.01 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.555 V. What is the absolute value of the current through R1?
a) 1.114E-01 A
b) 1.225E-01 A
c) 1.348E-01 A
d) 1.483E-01 A
e) 1.631E-01 A

T6 T1[edit]

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 69 V.

a) 3.365E+06 m/s
b) 3.701E+06 m/s
c) 4.072E+06 m/s
d) 4.479E+06 m/s
e) 4.927E+06 m/s
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.6 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=4.4 m, z=z0=1.4 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 5.0m2 ,and those in the zx plane have area 6.6m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 34° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.756E+01 N·m2/C
b) 3.032E+01 N·m2/C
c) 3.335E+01 N·m2/C
d) 3.668E+01 N·m2/C
e) 4.035E+01 N·m2/C
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.1 m, y=y1=4.8 m, z=z0=1.8 m, and z=z1=4.8 m. The surfaces in the yz plane each have area 11.0m2. Those in the xy plane have area 8.9m2 ,and those in the zx plane have area 7.2m2. An electric field has the xyz components (0, 5.9, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.901E+01 N·m2/C
b) 3.192E+01 N·m2/C
c) 3.511E+01 N·m2/C
d) 3.862E+01 N·m2/C
e) 4.248E+01 N·m2/C
4)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 5.732E-15 N
b) 6.305E-15 N
c) 6.936E-15 N
d) 7.629E-15 N
e) 8.392E-15 N
5)
Three cappies openstax example.svg
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)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.42 Ω, R2= 1.09 Ω, and R2= 3.89 Ω. V1 and V3 are text 0.677 V and 1.86 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.745 V. What is the absolute value of the current through R1?
a) 2.089E-01 A
b) 2.298E-01 A
c) 2.528E-01 A
d) 2.781E-01 A
e) 3.059E-01 A

7) A DC winch moter draws 24 amps at 159 volts as it lifts a 4.120E+03 N weight at a constant speed of 0.657 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

a) 1.447E+00 Ω
b) 1.591E+00 Ω
c) 1.751E+00 Ω
d) 1.926E+00 Ω
e) 2.118E+00 Ω
8)
Kirchhoff loop w external current.svg
Two sources of emf ε1=54.9 V, and ε2=19.8 V are oriented as shownin the circuit. The resistances are R1=3.93 kΩ and R2=1.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=9.18 mA and I4=1.83 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 1.779E+01 V
b) 1.957E+01 V
c) 2.153E+01 V
d) 2.368E+01 V
e) 2.605E+01 V
9)
Four charges at corners of rectangle.svg
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=8 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 1.241E+02 J
b) 1.365E+02 J
c) 1.501E+02 J
d) 1.652E+02 J
e) 1.817E+02 J

10) Calculate the drift speed of electrons in a copper wire with a diameter of 3.53 mm carrying a 2.8 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 1.947E-05 m/s
b) 2.141E-05 m/s
c) 2.355E-05 m/s
d) 2.591E-05 m/s
e) 2.850E-05 m/s

T6 T2[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 8.259E-15 N
b) 9.085E-15 N
c) 9.993E-15 N
d) 1.099E-14 N
e) 1.209E-14 N
2)
Kirchhoff loop w external current.svg
Two sources of emf ε1=36.7 V, and ε2=12.1 V are oriented as shownin the circuit. The resistances are R1=2.52 kΩ and R2=1.22 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.14 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 7.805E+00 V
b) 8.586E+00 V
c) 9.444E+00 V
d) 1.039E+01 V
e) 1.143E+01 V
3)
Four charges at corners of rectangle.svg
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

4) Calculate the drift speed of electrons in a copper wire with a diameter of 2.17 mm carrying a 19.4 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 3.569E-04 m/s
b) 3.926E-04 m/s
c) 4.319E-04 m/s
d) 4.750E-04 m/s
e) 5.226E-04 m/s
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.8 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.9 m, z=z0=1.3 m, and z=z1=5.2 m. The surfaces in the yz plane each have area 18.0m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 7.0m2. An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 49° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.777E+01 N·m2/C
b) 5.254E+01 N·m2/C
c) 5.780E+01 N·m2/C
d) 6.358E+01 N·m2/C
e) 6.993E+01 N·m2/C
6)
Three cappies openstax example.svg
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

7) Calculate the final speed of a free electron accelerated from rest through a potential difference of 16 V.

a) 2.157E+06 m/s
b) 2.372E+06 m/s
c) 2.610E+06 m/s
d) 2.871E+06 m/s
e) 3.158E+06 m/s
8)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.33 Ω, R2= 1.72 Ω, and R2= 3.69 Ω. V1 and V3 are text 0.606 V and 3.31 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.608 V. What is the absolute value of the current through R1?
a) 1.137E-01 A
b) 1.251E-01 A
c) 1.376E-01 A
d) 1.514E-01 A
e) 1.665E-01 A

9) A DC winch moter draws 19 amps at 175 volts as it lifts a 4.230E+03 N weight at a constant speed of 0.483 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

a) 3.551E+00 Ω
b) 3.906E+00 Ω
c) 4.297E+00 Ω
d) 4.726E+00 Ω
e) 5.199E+00 Ω
10)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.2 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.0 m, z=z0=1.9 m, and z=z1=4.3 m. The surfaces in the yz plane each have area 7.9m2. Those in the xy plane have area 4.0m2 ,and those in the zx plane have area 2.9m2. An electric field has the xyz components (0, 5.3, 9.1) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.388E+01 N·m2/C
b) 1.526E+01 N·m2/C
c) 1.679E+01 N·m2/C
d) 1.847E+01 N·m2/C
e) 2.032E+01 N·m2/C

T6 U0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 5.014E-14 N
b) 5.515E-14 N
c) 6.067E-14 N
d) 6.674E-14 N
e) 7.341E-14 N

2) A non-conducting sphere of radius R=2.5 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.8 (r≤R) where a=2 nC·m-1.2. What is the magnitude of the electric field at a distance of 1.7 m from the center?

a) 2.079E+02 N/C
b) 2.287E+02 N/C
c) 2.516E+02 N/C
d) 2.767E+02 N/C
e) 3.044E+02 N/C
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.4 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=4.2 m, z=z0=1.1 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 3.6m2 ,and those in the zx plane have area 6.7m2. An electric field of magnitude 16 N/C has components in the y and z directions and is directed at 53° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.420E+01 N·m2/C
b) 4.862E+01 N·m2/C
c) 5.348E+01 N·m2/C
d) 5.882E+01 N·m2/C
e) 6.471E+01 N·m2/C

4) 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

5) 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
6)
DC circuit 3 cappies1 voltage source.svg
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

7) A make-believe metal has a density of 3.530E+03 kg/m3 and an atomic mass of 10.5 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 1.673E+29 e/m3
b) 1.840E+29 e/m3
c) 2.024E+29 e/m3
d) 2.226E+29 e/m3
e) 2.449E+29 e/m3

8) Calculate the drift speed of electrons in a copper wire with a diameter of 3.17 mm carrying a 12.0 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 1.138E-04 m/s
b) 1.252E-04 m/s
c) 1.377E-04 m/s
d) 1.515E-04 m/s
e) 1.666E-04 m/s
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=40.7 V, and ε2=12.3 V are oriented as shownin the circuit. The resistances are R1=3.5 kΩ and R2=1.94 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.42 mA and I4=0.932 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 1.440E+01 V
b) 1.584E+01 V
c) 1.742E+01 V
d) 1.916E+01 V
e) 2.108E+01 V
10)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.57 Ω, R2= 1.25 Ω, and R2= 3.38 Ω. V1 and V3 are text 0.585 V and 2.91 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.55 V. What is the absolute value of the current through R1?
a) 1.427E-01 A
b) 1.569E-01 A
c) 1.726E-01 A
d) 1.899E-01 A
e) 2.089E-01 A

T6 U1[edit]

1) A make-believe metal has a density of 2.670E+03 kg/m3 and an atomic mass of 40.9 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 3.930E+28 e/m3
b) 4.323E+28 e/m3
c) 4.755E+28 e/m3
d) 5.231E+28 e/m3
e) 5.754E+28 e/m3

2) 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

3) Calculate the drift speed of electrons in a copper wire with a diameter of 5.47 mm carrying a 3.48 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 1.008E-05 m/s
b) 1.108E-05 m/s
c) 1.219E-05 m/s
d) 1.341E-05 m/s
e) 1.475E-05 m/s
4)
Kirchhoff loop w external current.svg
Two sources of emf ε1=36.7 V, and ε2=12.1 V are oriented as shownin the circuit. The resistances are R1=2.52 kΩ and R2=1.22 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.14 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 7.805E+00 V
b) 8.586E+00 V
c) 9.444E+00 V
d) 1.039E+01 V
e) 1.143E+01 V
5)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.49 Ω, R2= 1.72 Ω, and R2= 3.58 Ω. V1 and V3 are text 0.417 V and 1.83 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.53 V. What is the absolute value of the current through R1?
a) 8.220E-02 A
b) 9.042E-02 A
c) 9.946E-02 A
d) 1.094E-01 A
e) 1.203E-01 A

6) A non-conducting sphere of radius R=3.1 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.2 (r≤R) where a=2 nC·m-1.8. What is the magnitude of the electric field at a distance of 2.7 m from the center?

a) 4.782E+02 N/C
b) 5.260E+02 N/C
c) 5.787E+02 N/C
d) 6.365E+02 N/C
e) 7.002E+02 N/C

7) 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
8)
DC circuit 3 cappies1 voltage source.svg
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
9)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=5.2 m, z=z0=1.6 m, and z=z1=4.7 m. The surfaces in the yz plane each have area 11.0m2. Those in the xy plane have area 4.7m2 ,and those in the zx plane have area 4.0m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 43° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.214E+01 N·m2/C
b) 2.436E+01 N·m2/C
c) 2.679E+01 N·m2/C
d) 2.947E+01 N·m2/C
e) 3.242E+01 N·m2/C
10)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 3.391E-14 N
b) 3.731E-14 N
c) 4.104E-14 N
d) 4.514E-14 N
e) 4.965E-14 N

T6 U2[edit]

1) A non-conducting sphere of radius R=2.2 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.4 (r≤R) where a=3 nC·m-1.6. What is the magnitude of the electric field at a distance of 0.86 m from the center?

a) 4.874E+01 N/C
b) 5.362E+01 N/C
c) 5.898E+01 N/C
d) 6.488E+01 N/C
e) 7.137E+01 N/C

2) A make-believe metal has a density of 5.880E+03 kg/m3 and an atomic mass of 87.4 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 3.347E+28 e/m3
b) 3.682E+28 e/m3
c) 4.050E+28 e/m3
d) 4.455E+28 e/m3
e) 4.901E+28 e/m3
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=4.4 m, z=z0=1.3 m, and z=z1=4.2 m. The surfaces in the yz plane each have area 9.0m2. Those in the xy plane have area 6.2m2 ,and those in the zx plane have area 5.8m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 32° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.695E+01 N·m2/C
b) 4.065E+01 N·m2/C
c) 4.472E+01 N·m2/C
d) 4.919E+01 N·m2/C
e) 5.411E+01 N·m2/C
4)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.81 Ω, R2= 1.18 Ω, and R2= 2.62 Ω. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.748 V. What is the absolute value of the current through R1?
a) 1.552E-01 A
b) 1.707E-01 A
c) 1.878E-01 A
d) 2.065E-01 A
e) 2.272E-01 A
5)
DC circuit 3 cappies1 voltage source.svg
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) Calculate the drift speed of electrons in a copper wire with a diameter of 5.46 mm carrying a 8.19 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 2.380E-05 m/s
b) 2.618E-05 m/s
c) 2.880E-05 m/s
d) 3.168E-05 m/s
e) 3.485E-05 m/s
7)
Kirchhoff loop w external current.svg
Two sources of emf ε1=34.7 V, and ε2=13.9 V are oriented as shownin the circuit. The resistances are R1=3.68 kΩ and R2=1.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=5.68 mA and I4=0.933 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 9.286E+00 V
b) 1.021E+01 V
c) 1.124E+01 V
d) 1.236E+01 V
e) 1.360E+01 V

8) 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
9)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 8.613E-15 N
b) 9.474E-15 N
c) 1.042E-14 N
d) 1.146E-14 N
e) 1.261E-14 N

10) 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

T6 V0[edit]

1) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 6.534E+01 N/C
b) 7.187E+01 N/C
c) 7.906E+01 N/C
d) 8.696E+01 N/C
e) 9.566E+01 N/C

2) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=5, y=0), (x=0, y=7), and (x=5, y=7), where x and y are measured in meters. The electric field is,

a) 1.997E+03 V·m
b) 2.197E+03 V·m
c) 2.417E+03 V·m
d) 2.659E+03 V·m
e) 2.924E+03 V·m
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.4 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=4.2 m, z=z0=1.1 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 3.6m2 ,and those in the zx plane have area 6.7m2. An electric field of magnitude 16 N/C has components in the y and z directions and is directed at 53° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.420E+01 N·m2/C
b) 4.862E+01 N·m2/C
c) 5.348E+01 N·m2/C
d) 5.882E+01 N·m2/C
e) 6.471E+01 N·m2/C

4) 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

5) Two large parallel conducting plates are separated by 9.58 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 84 V?

a) 6.644E-01 mm
b) 7.641E-01 mm
c) 8.787E-01 mm
d) 1.011E+00 mm
e) 1.162E+00 mm
6)
DC circuit 3 cappies1 voltage source.svg
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

7) A make-believe metal has a density of 8.060E+03 kg/m3 and an atomic mass of 19.7 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 1.850E+29 e/m3
b) 2.036E+29 e/m3
c) 2.239E+29 e/m3
d) 2.463E+29 e/m3
e) 2.709E+29 e/m3

8) What is consumer cost to operate one 79−W incandescent bulb for 9 hours per day for 1 year (365 days) if the cost of electricity is $0.142 per kilowatt-hour?

a) $2.517E+01
b) $2.769E+01
c) $3.046E+01
d) $3.350E+01
e) $3.685E+01
9)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 301 V. If the combined external and internal resistance is 245 &Omega and the capacitance is 63 mF, how long will it take for the capacitor's voltage to reach 192.0 V?
a) 1.296E+01 s
b) 1.425E+01 s
c) 1.568E+01 s
d) 1.725E+01 s
e) 1.897E+01 s

10) A battery with a terminal voltage of 14.6 V is connected to a circuit consisting of 2 21.7 Ω resistors and one 14.4 Ω resistor. What is the voltage drop across the 14.4 Ω resistor?

a) 3.637E+00 V
b) 4.001E+00 V
c) 4.401E+00 V
d) 4.841E+00 V
e) 5.325E+00 V

T6 V1[edit]

1) A battery with a terminal voltage of 8.14 V is connected to a circuit consisting of 2 21.5 Ω resistors and one 13.1 Ω resistor. What is the voltage drop across the 13.1 Ω resistor?

a) 1.298E+00 V
b) 1.428E+00 V
c) 1.571E+00 V
d) 1.728E+00 V
e) 1.901E+00 V

2) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=9, y=0), (x=0, y=9), and (x=9, y=9), where x and y are measured in meters. The electric field is,

a) 2.210E+04 V·m
b) 2.431E+04 V·m
c) 2.674E+04 V·m
d) 2.941E+04 V·m
e) 3.235E+04 V·m

3) A make-believe metal has a density of 1.050E+04 kg/m3 and an atomic mass of 58.8 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 1.075E+29 e/m3
b) 1.183E+29 e/m3
c) 1.301E+29 e/m3
d) 1.431E+29 e/m3
e) 1.574E+29 e/m3

4) Two large parallel conducting plates are separated by 6.67 mm. Equal and opposite surface charges of 7.080E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 60 V?

a) 6.525E-01 mm
b) 7.504E-01 mm
c) 8.629E-01 mm
d) 9.923E-01 mm
e) 1.141E+00 mm
5)
DC circuit 3 cappies1 voltage source.svg
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)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.5 m, z=z0=1.7 m, and z=z1=5.1 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 9.9m2 ,and those in the zx plane have area 7.8m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 58° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.698E+01 N·m2/C
b) 1.868E+01 N·m2/C
c) 2.055E+01 N·m2/C
d) 2.260E+01 N·m2/C
e) 2.486E+01 N·m2/C

7) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 9.546E+01 N/C
b) 1.050E+02 N/C
c) 1.155E+02 N/C
d) 1.271E+02 N/C
e) 1.398E+02 N/C

8) What is consumer cost to operate one 89−W incandescent bulb for 10 hours per day for 1 year (365 days) if the cost of electricity is $0.141 per kilowatt-hour?

a) $3.785E+01
b) $4.164E+01
c) $4.580E+01
d) $5.038E+01
e) $5.542E+01

9) 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
10)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 327 V. If the combined external and internal resistance is 204 &Omega and the capacitance is 68 mF, how long will it take for the capacitor's voltage to reach 218.0 V?
a) 1.385E+01 s
b) 1.524E+01 s
c) 1.676E+01 s
d) 1.844E+01 s
e) 2.028E+01 s

T6 V2[edit]

1)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=16.5 μF, C2=2.7 μF, and C3=4.82 μF. The voltage source provides ε=15.7 V. What is the energy stored in C2?
a) 2.188E+01 μJ
b) 2.407E+01 μJ
c) 2.647E+01 μJ
d) 2.912E+01 μJ
e) 3.203E+01 μJ

2) What is consumer cost to operate one 73−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.113 per kilowatt-hour?

a) $3.312E+01
b) $3.643E+01
c) $4.007E+01
d) $4.408E+01
e) $4.849E+01

3) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 4.492E+01 N/C
b) 4.941E+01 N/C
c) 5.435E+01 N/C
d) 5.979E+01 N/C
e) 6.577E+01 N/C

4) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=7), and (x=7, y=7), where x and y are measured in meters. The electric field is,

a) 8.731E+02 V·m
b) 9.604E+02 V·m
c) 1.056E+03 V·m
d) 1.162E+03 V·m
e) 1.278E+03 V·m
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.8 m, z=z0=1.3 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 9.8m2 ,and those in the zx plane have area 7.4m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 46° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 8.457E+01 N·m2/C
b) 9.303E+01 N·m2/C
c) 1.023E+02 N·m2/C
d) 1.126E+02 N·m2/C
e) 1.238E+02 N·m2/C

6) A make-believe metal has a density of 7.000E+03 kg/m3 and an atomic mass of 89.4 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 3.219E+28 e/m3
b) 3.541E+28 e/m3
c) 3.896E+28 e/m3
d) 4.285E+28 e/m3
e) 4.714E+28 e/m3

7) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 Ω resistors and one 10.2 Ω resistor. What is the voltage drop across the 10.2 Ω resistor?

a) 2.074E+00 V
b) 2.282E+00 V
c) 2.510E+00 V
d) 2.761E+00 V
e) 3.037E+00 V

8) 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

9) Two large parallel conducting plates are separated by 6.67 mm. Equal and opposite surface charges of 7.080E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 60 V?

a) 6.525E-01 mm
b) 7.504E-01 mm
c) 8.629E-01 mm
d) 9.923E-01 mm
e) 1.141E+00 mm
10)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 467 V. If the combined external and internal resistance is 172 &Omega and the capacitance is 74 mF, how long will it take for the capacitor's voltage to reach 258.0 V?
a) 7.688E+00 s
b) 8.457E+00 s
c) 9.303E+00 s
d) 1.023E+01 s
e) 1.126E+01 s

T6 W0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.243E+01 degrees
b) 5.767E+01 degrees
c) 6.343E+01 degrees
d) 6.978E+01 degrees
e) 7.676E+01 degrees
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.8 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.7 m, z=z0=1.8 m, and z=z1=4.7 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 9.2m2 ,and those in the zx plane have area 8.1m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 32° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.134E+01 N·m2/C
b) 2.347E+01 N·m2/C
c) 2.582E+01 N·m2/C
d) 2.840E+01 N·m2/C
e) 3.124E+01 N·m2/C

3) A non-conducting sphere of radius R=2.2 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.4 (r≤R) where a=3 nC·m-1.6. What is the magnitude of the electric field at a distance of 0.86 m from the center?

a) 4.874E+01 N/C
b) 5.362E+01 N/C
c) 5.898E+01 N/C
d) 6.488E+01 N/C
e) 7.137E+01 N/C

4) Two large parallel conducting plates are separated by 7.14 mm. Equal and opposite surface charges of 7.660E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?

a) 4.031E-01 mm
b) 4.636E-01 mm
c) 5.332E-01 mm
d) 6.131E-01 mm
e) 7.051E-01 mm

5) 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

6) 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

7) Imagine a substance could be made into a very hot filament. Suppose the resitance is 6.06 Ω at a temperature of 80°C and that the temperature coefficient of expansion is 4.290E-03 (°C)−1). What is the resistance at a temperature of 330 °C?

a) 1.196E+01 Ω
b) 1.256E+01 Ω
c) 1.319E+01 Ω
d) 1.385E+01 Ω
e) 1.454E+01 Ω

8) A DC winch moter draws 18 amps at 126 volts as it lifts a 5.830E+03 N weight at a constant speed of 0.26 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

a) 1.919E+00 Ω
b) 2.111E+00 Ω
c) 2.322E+00 Ω
d) 2.554E+00 Ω
e) 2.809E+00 Ω
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=28.6 V, and ε2=11.1 V are oriented as shownin the circuit. The resistances are R1=3.73 kΩ and R2=1.95 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.27 mA and I4=0.774 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 6.641E+00 V
b) 7.305E+00 V
c) 8.035E+00 V
d) 8.839E+00 V
e) 9.723E+00 V

10) A given battery has a 11 V emf and an internal resistance of 0.0998 Ω. If it is connected to a 0.417 Ω resistor what is the power dissipated by that load?

a) 1.419E+02 W
b) 1.561E+02 W
c) 1.717E+02 W
d) 1.889E+02 W
e) 2.078E+02 W

T6 W1[edit]

1)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.5 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.3 m, z=z0=1.2 m, and z=z1=4.6 m. The surfaces in the yz plane each have area 9.9m2. Those in the xy plane have area 4.3m2 ,and those in the zx plane have area 5.1m2. An electric field of magnitude 19 N/C has components in the y and z directions and is directed at 31° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.750E+01 N·m2/C
b) 4.125E+01 N·m2/C
c) 4.537E+01 N·m2/C
d) 4.991E+01 N·m2/C
e) 5.490E+01 N·m2/C

2) 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

3) Imagine a substance could be made into a very hot filament. Suppose the resitance is 3.64 Ω at a temperature of 82°C and that the temperature coefficient of expansion is 4.530E-03 (°C)−1). What is the resistance at a temperature of 390 °C?

a) 7.532E+00 Ω
b) 7.908E+00 Ω
c) 8.303E+00 Ω
d) 8.719E+00 Ω
e) 9.155E+00 Ω
4)
Kirchhoff loop w external current.svg
Two sources of emf ε1=26.2 V, and ε2=8.29 V are oriented as shownin the circuit. The resistances are R1=3.43 kΩ and R2=1.16 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.09 mA and I4=1.06 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 6.720E+00 V
b) 7.392E+00 V
c) 8.131E+00 V
d) 8.944E+00 V
e) 9.838E+00 V

5) A given battery has a 15 V emf and an internal resistance of 0.177 Ω. If it is connected to a 0.824 Ω resistor what is the power dissipated by that load?

a) 1.682E+02 W
b) 1.850E+02 W
c) 2.035E+02 W
d) 2.239E+02 W
e) 2.463E+02 W
6)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on