# Quizbank/University Physics Semester 2/T6

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]

- 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)=ar^{1.5} (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 P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (9 cm, 0°) and P_{2} 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

_{1}=2.25 μF, C

_{2}=4.16 μF, and C

_{3}=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/m
^{2} - b) 3.677E+05 A/m
^{2} - c) 4.044E+05 A/m
^{2} - d) 4.449E+05 A/m
^{2} - e) 4.894E+05 A/m
^{2}

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

_{1}= 1.54 Ω, R

_{2}= 0.927 Ω, and R

_{2}= 2.46 Ω. V

_{1}and V

_{3}are text 0.632 V and 2.12 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.586 V. What is the absolute value of the current through R

_{1}?

- 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 P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (9 cm, 0°) and P_{2} 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

_{1}=3.25 μF, C

_{2}=4.87 μF, and C

_{3}=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)=ar^{1.4} (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/m
^{2} - b) 2.112E+06 A/m
^{2} - c) 2.323E+06 A/m
^{2} - d) 2.556E+06 A/m
^{2} - e) 2.811E+06 A/m
^{2}

_{1}= 1.6 Ω, R

_{2}= 1.3 Ω, and R

_{2}= 2.22 Ω. V

_{1}and V

_{3}are text 0.55 V and 3.18 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.743 V. What is the absolute value of the current through R

_{1}?

- 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

- 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)=ar^{1.2} (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

_{1}= 1.1 Ω, R

_{2}= 1.55 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.545 V and 3.22 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.744 V. What is the absolute value of the current through R

_{1}?

- 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/m
^{2} - b) 2.321E+05 A/m
^{2} - c) 2.553E+05 A/m
^{2} - d) 2.809E+05 A/m
^{2} - e) 3.090E+05 A/m
^{2}

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

_{1}=3.27 μF, C

_{2}=2.87 μF, and C

_{3}=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

- 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 P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (8 cm, 0°) and P_{2} 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]

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/m
^{2} - b) 6.407E+00 V/m
^{2} - c) 7.048E+00 V/m
^{2} - d) 7.753E+00 V/m
^{2} - e) 8.528E+00 V/m
^{2}

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

_{1}=2.1 m. The other four surfaces are rectangles in y=y

_{0}=1.1 m, y=y

_{1}=5.3 m, z=z

_{0}=1.1 m, and z=z

_{1}=4.3 m. The surfaces in the yz plane each have area 13.0m

^{2}. Those in the xy plane have area 8.8m

^{2},and those in the zx plane have area 6.7m

^{2}. 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·m
^{2}/C - b) 4.316E+01 N·m
^{2}/C - c) 4.748E+01 N·m
^{2}/C - d) 5.222E+01 N·m
^{2}/C - e) 5.745E+01 N·m
^{2}/C

- 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

_{1}=3.54 μF, C

_{2}=3.53 μF, and C

_{3}=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/m^{3} 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
^{−}/m^{3} - b) 2.521E+29 e
^{−}/m^{3} - c) 2.773E+29 e
^{−}/m^{3} - d) 3.051E+29 e
^{−}/m^{3} - e) 3.356E+29 e
^{−}/m^{3}

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

_{1}=58.5 V, and ε

_{2}=17.3 V are oriented as shownin the circuit. The resistances are R

_{1}=3.06 kΩ and R

_{2}=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. I

_{3}=5.25 mA and I

_{4}=1.25 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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/m^{3} 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
^{−}/m^{3} - b) 4.323E+28 e
^{−}/m^{3} - c) 4.755E+28 e
^{−}/m^{3} - d) 5.231E+28 e
^{−}/m^{3} - e) 5.754E+28 e
^{−}/m^{3}

_{1}=40.7 V, and ε

_{2}=12.3 V are oriented as shownin the circuit. The resistances are R

_{1}=3.5 kΩ and R

_{2}=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. I

_{3}=3.42 mA and I

_{4}=0.932 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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

- 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

_{1}=4.7 μF, C

_{2}=4.82 μF, and C

_{3}=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

_{1}=2.3 m. The other four surfaces are rectangles in y=y

_{0}=1.2 m, y=y

_{1}=5.5 m, z=z

_{0}=1.7 m, and z=z

_{1}=5.1 m. The surfaces in the yz plane each have area 15.0m

^{2}. Those in the xy plane have area 9.9m

^{2},and those in the zx plane have area 7.8m

^{2}. 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·m
^{2}/C - b) 1.868E+01 N·m
^{2}/C - c) 2.055E+01 N·m
^{2}/C - d) 2.260E+01 N·m
^{2}/C - e) 2.486E+01 N·m
^{2}/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

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/m
^{2} - b) 5.062E+00 V/m
^{2} - c) 5.568E+00 V/m
^{2} - d) 6.125E+00 V/m
^{2} - e) 6.738E+00 V/m
^{2}

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]

- 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

_{1}=1.9 m. The other four surfaces are rectangles in y=y

_{0}=1.6 m, y=y

_{1}=5.1 m, z=z

_{0}=1.3 m, and z=z

_{1}=4.7 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 6.6m

^{2},and those in the zx plane have area 6.5m

^{2}. 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·m
^{2}/C - b) 5.923E+01 N·m
^{2}/C - c) 6.516E+01 N·m
^{2}/C - d) 7.167E+01 N·m
^{2}/C - e) 7.884E+01 N·m
^{2}/C

_{1}=4.75 μF, C

_{2}=2.77 μF, and C

_{3}=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

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/m
^{2} - b) 5.062E+00 V/m
^{2} - c) 5.568E+00 V/m
^{2} - d) 6.125E+00 V/m
^{2} - e) 6.738E+00 V/m
^{2}

_{1}=27.9 V, and ε

_{2}=11.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.82 kΩ and R

_{2}=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. I

_{3}=2.1 mA and I

_{4}=0.676 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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/m^{3} 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
^{−}/m^{3} - b) 1.034E+29 e
^{−}/m^{3} - c) 1.137E+29 e
^{−}/m^{3} - d) 1.251E+29 e
^{−}/m^{3} - e) 1.376E+29 e
^{−}/m^{3}

### T6 C0[edit]

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/m
^{2} - b) 6.407E+00 V/m
^{2} - c) 7.048E+00 V/m
^{2} - d) 7.753E+00 V/m
^{2} - e) 8.528E+00 V/m
^{2}

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)=ar^{1.5} (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

*a*=

*b*=2 cm.) The charges are q

_{1}=4 μC, q

_{2}=7 μC, q

_{3}=10 μC, and q

_{4}=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

_{1}=2.3 μF, C

_{2}=2.84 μF, and C

_{3}=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/m^{3} 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
^{−}/m^{3} - b) 2.070E+29 e
^{−}/m^{3} - c) 2.277E+29 e
^{−}/m^{3} - d) 2.505E+29 e
^{−}/m^{3} - e) 2.756E+29 e
^{−}/m^{3}

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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}=38.9 V, and ε

_{2}=16.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.3 kΩ and R

_{2}=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. I

_{3}=3.34 mA and I

_{4}=0.955 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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

_{1}=13.6 V, and ε

_{2}=6.53 V are oriented as shownin the circuit. The resistances are R

_{1}=2.89 kΩ and R

_{2}=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. I

_{3}=1.11 mA and I

_{4}=0.311 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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]

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/m
^{2} - b) 6.407E+00 V/m
^{2} - c) 7.048E+00 V/m
^{2} - d) 7.753E+00 V/m
^{2} - e) 8.528E+00 V/m
^{2}

*a*=

*b*=5 cm.) The charges are q

_{1}=3 μC, q

_{2}=5 μC, q

_{3}=8 μC, and q

_{4}=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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}=3.56 μF, C

_{2}=4.23 μF, and C

_{3}=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

_{1}=24.8 V, and ε

_{2}=10.3 V are oriented as shownin the circuit. The resistances are R

_{1}=2.19 kΩ and R

_{2}=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. I

_{3}=2.49 mA and I

_{4}=0.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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/m^{3} 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
^{−}/m^{3} - b) 6.432E+29 e
^{−}/m^{3} - c) 7.075E+29 e
^{−}/m^{3} - d) 7.783E+29 e
^{−}/m^{3} - e) 8.561E+29 e
^{−}/m^{3}

_{1}=30.3 V, and ε

_{2}=8.6 V are oriented as shownin the circuit. The resistances are R

_{1}=3.81 kΩ and R

_{2}=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. I

_{3}=2.38 mA and I

_{4}=0.416 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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)=ar^{1.5} (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

*a*=

*b*=2 cm.) The charges are q

_{1}=4 μC, q

_{2}=7 μC, q

_{3}=10 μC, and q

_{4}=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)=ar^{1.6} (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/m^{3} 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
^{−}/m^{3} - b) 6.798E+28 e
^{−}/m^{3} - c) 7.478E+28 e
^{−}/m^{3} - d) 8.226E+28 e
^{−}/m^{3} - e) 9.049E+28 e
^{−}/m^{3}

_{1}=39.2 V, and ε

_{2}=12.6 V are oriented as shownin the circuit. The resistances are R

_{1}=3.86 kΩ and R

_{2}=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. I

_{3}=4.05 mA and I

_{4}=0.701 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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

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/m
^{2} - b) 4.091E+00 V/m
^{2} - c) 4.500E+00 V/m
^{2} - d) 4.950E+00 V/m
^{2} - e) 5.445E+00 V/m
^{2}

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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}=4.75 μF, C

_{2}=2.77 μF, and C

_{3}=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

_{1}=36.3 V, and ε

_{2}=12.9 V are oriented as shownin the circuit. The resistances are R

_{1}=4.28 kΩ and R

_{2}=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. I

_{3}=4.16 mA and I

_{4}=1.2 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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]

- 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

_{1}=2.0 m. The other four surfaces are rectangles in y=y

_{0}=1.4 m, y=y

_{1}=4.7 m, z=z

_{0}=1.2 m, and z=z

_{1}=4.1 m. The surfaces in the yz plane each have area 9.6m

^{2}. Those in the xy plane have area 6.6m

^{2},and those in the zx plane have area 5.8m

^{2}. 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·m
^{2}/C - b) 3.660E+01 N·m
^{2}/C - c) 4.026E+01 N·m
^{2}/C - d) 4.429E+01 N·m
^{2}/C - e) 4.872E+01 N·m
^{2}/C

_{1}=1.8 m. The other four surfaces are rectangles in y=y

_{0}=1.2 m, y=y

_{1}=5.9 m, z=z

_{0}=1.3 m, and z=z

_{1}=5.2 m. The surfaces in the yz plane each have area 18.0m

^{2}. Those in the xy plane have area 8.5m

^{2},and those in the zx plane have area 7.0m

^{2}. 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·m
^{2}/C - b) 5.254E+01 N·m
^{2}/C - c) 5.780E+01 N·m
^{2}/C - d) 6.358E+01 N·m
^{2}/C - e) 6.993E+01 N·m
^{2}/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/m^{2} 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

_{1}=17.9 μF, C

_{2}=2.71 μF, and C

_{3}=4.14 μF. The voltage source provides ε=7.12 V. What is the charge on C

_{1}?

- 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 mm^{2}.

- 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, R_{1} = 1.43 Ω, and R_{2} = R_{2} = 3.25 Ω, are connected in parallel to a 9.03 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- 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, R_{1} = 1.31 Ω, and R_{2} = R_{2} = 2.91 Ω, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- 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 mm^{2}.

- 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

_{1}=2.8 m. The other four surfaces are rectangles in y=y

_{0}=1.3 m, y=y

_{1}=4.2 m, z=z

_{0}=1.9 m, and z=z

_{1}=5.5 m. The surfaces in the yz plane each have area 10.0m

^{2}. Those in the xy plane have area 8.1m

^{2},and those in the zx plane have area 10.0m

^{2}. 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·m
^{2}/C - b) 7.789E+01 N·m
^{2}/C - c) 8.568E+01 N·m
^{2}/C - d) 9.425E+01 N·m
^{2}/C - e) 1.037E+02 N·m
^{2}/C

_{1}=17.7 μF, C

_{2}=2.5 μF, and C

_{3}=5.0 μF. The voltage source provides ε=12.8 V. What is the charge on C

_{1}?

- 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

- 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/m^{2} 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

_{1}=2.8 m. The other four surfaces are rectangles in y=y

_{0}=1.4 m, y=y

_{1}=4.7 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.7 m. The surfaces in the yz plane each have area 9.6m

^{2}. Those in the xy plane have area 9.2m

^{2},and those in the zx plane have area 8.1m

^{2}. 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·m
^{2}/C - b) 2.347E+01 N·m
^{2}/C - c) 2.582E+01 N·m
^{2}/C - d) 2.840E+01 N·m
^{2}/C - e) 3.124E+01 N·m
^{2}/C

#### T6 D2[edit]

_{1}=2.5 m. The other four surfaces are rectangles in y=y

_{0}=1.3 m, y=y

_{1}=5.3 m, z=z

_{0}=1.3 m, and z=z

_{1}=4.3 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 10.0m

^{2},and those in the zx plane have area 7.5m

^{2}. 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·m
^{2}/C - b) 7.275E+01 N·m
^{2}/C - c) 8.003E+01 N·m
^{2}/C - d) 8.803E+01 N·m
^{2}/C - e) 9.683E+01 N·m
^{2}/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 mm^{2}.

- 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/m^{2} 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, R_{1} = 1.2 Ω, and R_{2} = R_{2} = 2.75 Ω, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- 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

_{1}=2.6 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=5.4 m, z=z

_{0}=1.4 m, and z=z

_{1}=5.6 m. The surfaces in the yz plane each have area 16.0m

^{2}. Those in the xy plane have area 9.6m

^{2},and those in the zx plane have area 11.0m

^{2}. 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·m
^{2}/C - b) 9.813E+01 N·m
^{2}/C - c) 1.079E+02 N·m
^{2}/C - d) 1.187E+02 N·m
^{2}/C - e) 1.306E+02 N·m
^{2}/C

_{1}=15.4 μF, C

_{2}=2.22 μF, and C

_{3}=4.77 μF. The voltage source provides ε=6.8 V. What is the charge on C

_{1}?

- 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

- 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/m
^{2} - b) 5.648E-01 V/m
^{2} - c) 6.212E-01 V/m
^{2} - d) 6.834E-01 V/m
^{2} - e) 7.517E-01 V/m
^{2}

_{1}=1.4 m. The other four surfaces are rectangles in y=y

_{0}=1.3 m, y=y

_{1}=5.6 m, z=z

_{0}=1.7 m, and z=z

_{1}=4.5 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 6.0m

^{2},and those in the zx plane have area 3.9m

^{2}. 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·m
^{2}/C - b) 1.914E+01 N·m
^{2}/C - c) 2.106E+01 N·m
^{2}/C - d) 2.316E+01 N·m
^{2}/C - e) 2.548E+01 N·m
^{2}/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/m^{2} 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

- 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

_{1}=16.1 μF, C

_{2}=2.14 μF, and C

_{3}=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C

_{2}?

- 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/m^{3} 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
^{−}/m^{3} - b) 1.840E+29 e
^{−}/m^{3} - c) 2.024E+29 e
^{−}/m^{3} - d) 2.226E+29 e
^{−}/m^{3} - e) 2.449E+29 e
^{−}/m^{3}

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 mm^{2}.

- 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

_{1}=31.0 V, and ε

_{2}=10.0 V are oriented as shownin the circuit. The resistances are R

_{1}=4.22 kΩ and R

_{2}=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. I

_{3}=3.32 mA and I

_{4}=1.03 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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 mm^{2}.

- 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

_{1}=24.9 V, and ε

_{2}=10.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.32 kΩ and R

_{2}=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. I

_{3}=2.74 mA and I

_{4}=0.444 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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/m
^{2} - b) 1.384E+00 V/m
^{2} - c) 1.522E+00 V/m
^{2} - d) 1.674E+00 V/m
^{2} - e) 1.842E+00 V/m
^{2}

_{1}=1.1 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=4.2 m, z=z

_{0}=1.1 m, and z=z

_{1}=4.5 m. The surfaces in the yz plane each have area 8.5m

^{2}. Those in the xy plane have area 2.8m

^{2},and those in the zx plane have area 3.7m

^{2}. 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·m
^{2}/C - b) 2.287E+01 N·m
^{2}/C - c) 2.516E+01 N·m
^{2}/C - d) 2.768E+01 N·m
^{2}/C - e) 3.044E+01 N·m
^{2}/C

6) A make-believe metal has a density of 3.230E+03 kg/m^{3} 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
^{−}/m^{3} - b) 1.524E+28 e
^{−}/m^{3} - c) 1.676E+28 e
^{−}/m^{3} - d) 1.844E+28 e
^{−}/m^{3} - e) 2.028E+28 e
^{−}/m^{3}

_{1}=18.7 μF, C

_{2}=2.15 μF, and C

_{3}=4.88 μF. The voltage source provides ε=11.9 V. What is the energy stored in C

_{2}?

- 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/m^{2} 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

- 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}=24.8 V, and ε

_{2}=10.3 V are oriented as shownin the circuit. The resistances are R

_{1}=2.19 kΩ and R

_{2}=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. I

_{3}=2.49 mA and I

_{4}=0.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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

_{1}=16.3 μF, C

_{2}=2.17 μF, and C

_{3}=4.67 μF. The voltage source provides ε=8.35 V. What is the energy stored in C

_{2}?

- 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

- 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/m
^{2} - b) 9.826E+00 V/m
^{2} - c) 1.081E+01 V/m
^{2} - d) 1.189E+01 V/m
^{2} - e) 1.308E+01 V/m
^{2}

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 mm^{2}.

- 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

_{1}=1.6 m. The other four surfaces are rectangles in y=y

_{0}=1.6 m, y=y

_{1}=5.6 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.4 m. The surfaces in the yz plane each have area 10.0m

^{2}. Those in the xy plane have area 6.4m

^{2},and those in the zx plane have area 4.2m

^{2}. 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·m
^{2}/C - b) 2.080E+01 N·m
^{2}/C - c) 2.288E+01 N·m
^{2}/C - d) 2.517E+01 N·m
^{2}/C - e) 2.768E+01 N·m
^{2}/C

8) A make-believe metal has a density of 1.180E+04 kg/m^{3} 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
^{−}/m^{3} - b) 4.411E+28 e
^{−}/m^{3} - c) 4.852E+28 e
^{−}/m^{3} - d) 5.337E+28 e
^{−}/m^{3} - e) 5.871E+28 e
^{−}/m^{3}

9) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.310E-07 C/m^{2} 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]

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/m
^{2} - b) 9.559E+00 V/m
^{2} - c) 1.051E+01 V/m
^{2} - d) 1.157E+01 V/m
^{2} - e) 1.272E+01 V/m
^{2}

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

_{1}=1.7 m. The other four surfaces are rectangles in y=y

_{0}=1.5 m, y=y

_{1}=5.7 m, z=z

_{0}=1.4 m, and z=z

_{1}=4.8 m. The surfaces in the yz plane each have area 14.0m

^{2}. Those in the xy plane have area 7.1m

^{2},and those in the zx plane have area 5.8m

^{2}. 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·m
^{2}/C - b) 7.612E+01 N·m
^{2}/C - c) 8.373E+01 N·m
^{2}/C - d) 9.210E+01 N·m
^{2}/C - e) 1.013E+02 N·m
^{2}/C

- 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

_{1}=17.9 μF, C

_{2}=2.76 μF, and C

_{3}=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C

_{1}?

- 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 mm^{2}.

- 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 mm^{2}.

- 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

- 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]

- 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 mm^{2}.

- 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

- 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 mm^{2}.

- 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

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/m
^{2} - b) 3.971E+00 V/m
^{2} - c) 4.368E+00 V/m
^{2} - d) 4.804E+00 V/m
^{2} - e) 5.285E+00 V/m
^{2}

_{1}=17.7 μF, C

_{2}=2.5 μF, and C

_{3}=5.0 μF. The voltage source provides ε=12.8 V. What is the charge on C

_{1}?

- 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

_{1}=1.7 m. The other four surfaces are rectangles in y=y

_{0}=1.5 m, y=y

_{1}=5.7 m, z=z

_{0}=1.4 m, and z=z

_{1}=4.8 m. The surfaces in the yz plane each have area 14.0m

^{2}. Those in the xy plane have area 7.1m

^{2},and those in the zx plane have area 5.8m

^{2}. 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·m
^{2}/C - b) 7.612E+01 N·m
^{2}/C - c) 8.373E+01 N·m
^{2}/C - d) 9.210E+01 N·m
^{2}/C - e) 1.013E+02 N·m
^{2}/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 mm^{2}.

- 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 mm^{2}.

- 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

- 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

_{1}=17.9 μF, C

_{2}=2.71 μF, and C

_{3}=4.14 μF. The voltage source provides ε=7.12 V. What is the charge on C

_{1}?

- 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

_{1}=2.1 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=5.6 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.2 m. The surfaces in the yz plane each have area 9.4m

^{2}. Those in the xy plane have area 8.2m

^{2},and those in the zx plane have area 5.0m

^{2}. 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·m
^{2}/C - b) 2.404E+01 N·m
^{2}/C - c) 2.645E+01 N·m
^{2}/C - d) 2.909E+01 N·m
^{2}/C - e) 3.200E+01 N·m
^{2}/C

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/m
^{2} - b) 6.943E+00 V/m
^{2} - c) 7.637E+00 V/m
^{2} - d) 8.401E+00 V/m
^{2} - e) 9.241E+00 V/m
^{2}

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

- 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/m
^{2} - b) 8.269E+00 V/m
^{2} - c) 9.096E+00 V/m
^{2} - d) 1.001E+01 V/m
^{2} - e) 1.101E+01 V/m
^{2}

_{1}=2.7 m. The other four surfaces are rectangles in y=y

_{0}=1.6 m, y=y

_{1}=4.4 m, z=z

_{0}=1.2 m, and z=z

_{1}=5.9 m. The surfaces in the yz plane each have area 13.0m

^{2}. Those in the xy plane have area 7.6m

^{2},and those in the zx plane have area 13.0m

^{2}. 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·m
^{2}/C - b) 5.487E+01 N·m
^{2}/C - c) 6.035E+01 N·m
^{2}/C - d) 6.639E+01 N·m
^{2}/C - e) 7.303E+01 N·m
^{2}/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 P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (6 cm, 0°) and P_{2} 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

_{1}=4.55 μF, C

_{2}=4.39 μF, and C

_{3}=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 mm^{2}.

- 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

_{1}=2.38 Ω, R

_{2}=5.11 Ω, and R

_{3}=14.6 Ω. What is the power dissipated by R

_{2}?

- 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

_{1}=38.9 V, and ε

_{2}=14.4 V are oriented as shownin the circuit. The resistances are R

_{1}=4.33 kΩ and R

_{2}=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. I

_{3}=5.59 mA and I

_{4}=1.07 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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/m
^{2} - b) 2.824E+01 V/m
^{2} - c) 3.106E+01 V/m
^{2} - d) 3.417E+01 V/m
^{2} - e) 3.759E+01 V/m
^{2}

2) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (9 cm, 0°) and P_{2} 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 mm^{2}.

- 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

_{1}=1.18 Ω, R

_{2}=5.28 Ω, and R

_{3}=14.8 Ω. What is the power dissipated by R

_{2}?

- 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

_{1}=1.8 m. The other four surfaces are rectangles in y=y

_{0}=1.2 m, y=y

_{1}=5.9 m, z=z

_{0}=1.3 m, and z=z

_{1}=5.2 m. The surfaces in the yz plane each have area 18.0m

^{2}. Those in the xy plane have area 8.5m

^{2},and those in the zx plane have area 7.0m

^{2}. 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·m
^{2}/C - b) 5.254E+01 N·m
^{2}/C - c) 5.780E+01 N·m
^{2}/C - d) 6.358E+01 N·m
^{2}/C - e) 6.993E+01 N·m
^{2}/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

_{1}=2.55 μF, C

_{2}=4.13 μF, and C

_{3}=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

_{1}=26.2 V, and ε

_{2}=11.5 V are oriented as shownin the circuit. The resistances are R

_{1}=2.13 kΩ and R

_{2}=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. I

_{3}=3.11 mA and I

_{4}=0.746 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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}=3.97 μF, C

_{2}=3.51 μF, and C

_{3}=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 mm^{2}.

- 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 P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (9 cm, 0°) and P_{2} 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

_{1}=21.0 V, and ε

_{2}=8.72 V are oriented as shownin the circuit. The resistances are R

_{1}=3.12 kΩ and R

_{2}=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. I

_{3}=4.41 mA and I

_{4}=0.816 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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

_{1}=1.18 Ω, R

_{2}=5.28 Ω, and R

_{3}=14.8 Ω. What is the power dissipated by R

_{2}?

- 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/m
^{2} - b) 6.212E+00 V/m
^{2} - c) 6.833E+00 V/m
^{2} - d) 7.517E+00 V/m
^{2} - e) 8.268E+00 V/m
^{2}

_{1}=1.3 m. The other four surfaces are rectangles in y=y

_{0}=1.1 m, y=y

_{1}=5.7 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.5 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 6.0m

^{2},and those in the zx plane have area 3.5m

^{2}. 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·m
^{2}/C - b) 1.080E+01 N·m
^{2}/C - c) 1.189E+01 N·m
^{2}/C - d) 1.307E+01 N·m
^{2}/C - e) 1.438E+01 N·m
^{2}/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 m^{2}. 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

_{1}=2.0 m. The other four surfaces are rectangles in y=y

_{0}=1.8 m, y=y

_{1}=5.8 m, z=z

_{0}=1.9 m, and z=z

_{1}=5.9 m. The surfaces in the yz plane each have area 16.0m

^{2}. Those in the xy plane have area 8.0m

^{2},and those in the zx plane have area 8.0m

^{2}. 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·m
^{2}/C - b) 4.028E+01 N·m
^{2}/C - c) 4.430E+01 N·m
^{2}/C - d) 4.873E+01 N·m
^{2}/C - e) 5.361E+01 N·m
^{2}/C

_{1}=2.0 m. The other four surfaces are rectangles in y=y

_{0}=1.8 m, y=y

_{1}=4.2 m, z=z

_{0}=1.3 m, and z=z

_{1}=5.8 m. The surfaces in the yz plane each have area 11.0m

^{2}. Those in the xy plane have area 4.8m

^{2},and those in the zx plane have area 9.0m

^{2}. 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·m
^{2}/C - b) 4.537E+01 N·m
^{2}/C - c) 4.991E+01 N·m
^{2}/C - d) 5.490E+01 N·m
^{2}/C - e) 6.039E+01 N·m
^{2}/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/m^{2} 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

_{1}=19.9 μF, C

_{2}=2.25 μF, and C

_{3}=4.75 μF. The voltage source provides ε=6.93 V. What is the charge on C

_{1}?

- 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 mm^{2}.

- 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/m^{3} 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
^{−}/m^{3} - b) 2.521E+29 e
^{−}/m^{3} - c) 2.773E+29 e
^{−}/m^{3} - d) 3.051E+29 e
^{−}/m^{3} - e) 3.356E+29 e
^{−}/m^{3}

_{1}=54.9 V, and ε

_{2}=19.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.93 kΩ and R

_{2}=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. I

_{3}=9.18 mA and I

_{4}=1.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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}=2.8 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=4.5 m, z=z

_{0}=1.5 m, and z=z

_{1}=5.0 m. The surfaces in the yz plane each have area 9.8m

^{2}. Those in the xy plane have area 7.8m

^{2},and those in the zx plane have area 9.8m

^{2}. 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·m
^{2}/C - b) 6.576E+01 N·m
^{2}/C - c) 7.233E+01 N·m
^{2}/C - d) 7.957E+01 N·m
^{2}/C - e) 8.752E+01 N·m
^{2}/C

_{1}=2.9 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=5.9 m, z=z

_{0}=1.3 m, and z=z

_{1}=5.3 m. The surfaces in the yz plane each have area 17.0m

^{2}. Those in the xy plane have area 12.0m

^{2},and those in the zx plane have area 12.0m

^{2}. 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·m
^{2}/C - b) 1.910E+01 N·m
^{2}/C - c) 2.101E+01 N·m
^{2}/C - d) 2.311E+01 N·m
^{2}/C - e) 2.543E+01 N·m
^{2}/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 mm^{2}.

- 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

_{1}=27.9 V, and ε

_{2}=11.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.82 kΩ and R

_{2}=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. I

_{3}=2.1 mA and I

_{4}=0.676 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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/m^{3} 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
^{−}/m^{3} - b) 2.521E+29 e
^{−}/m^{3} - c) 2.773E+29 e
^{−}/m^{3} - d) 3.051E+29 e
^{−}/m^{3} - e) 3.356E+29 e
^{−}/m^{3}

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

_{1}=19.0 μF, C

_{2}=2.35 μF, and C

_{3}=5.22 μF. The voltage source provides ε=6.01 V. What is the charge on C

_{1}?

- 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/m^{2} 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 m^{2}. 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 m^{2}. 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

_{1}=17.3 V, and ε

_{2}=6.46 V are oriented as shownin the circuit. The resistances are R

_{1}=2.54 kΩ and R

_{2}=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. I

_{3}=1.1 mA and I

_{4}=0.281 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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/m^{2} 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 mm^{2}.

- 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

_{1}=2.0 m. The other four surfaces are rectangles in y=y

_{0}=1.8 m, y=y

_{1}=5.8 m, z=z

_{0}=1.9 m, and z=z

_{1}=5.9 m. The surfaces in the yz plane each have area 16.0m

^{2}. Those in the xy plane have area 8.0m

^{2},and those in the zx plane have area 8.0m

^{2}. 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·m
^{2}/C - b) 4.028E+01 N·m
^{2}/C - c) 4.430E+01 N·m
^{2}/C - d) 4.873E+01 N·m
^{2}/C - e) 5.361E+01 N·m
^{2}/C

6) A make-believe metal has a density of 3.470E+03 kg/m^{3} 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
^{−}/m^{3} - b) 6.798E+28 e
^{−}/m^{3} - c) 7.478E+28 e
^{−}/m^{3} - d) 8.226E+28 e
^{−}/m^{3} - e) 9.049E+28 e
^{−}/m^{3}

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

_{1}=2.8 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=4.5 m, z=z

_{0}=1.5 m, and z=z

_{1}=5.0 m. The surfaces in the yz plane each have area 9.8m

^{2}. Those in the xy plane have area 7.8m

^{2},and those in the zx plane have area 9.8m

^{2}. 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·m
^{2}/C - b) 6.576E+01 N·m
^{2}/C - c) 7.233E+01 N·m
^{2}/C - d) 7.957E+01 N·m
^{2}/C - e) 8.752E+01 N·m
^{2}/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

### T6 I0[edit]

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/m
^{2} - b) 1.040E+01 V/m
^{2} - c) 1.145E+01 V/m
^{2} - d) 1.259E+01 V/m
^{2} - e) 1.385E+01 V/m
^{2}

_{1}=1.1 m. The other four surfaces are rectangles in y=y

_{0}=1.5 m, y=y

_{1}=5.0 m, z=z

_{0}=1.8 m, and z=z

_{1}=5.7 m. The surfaces in the yz plane each have area 14.0m

^{2}. Those in the xy plane have area 3.9m

^{2},and those in the zx plane have area 4.3m

^{2}. 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·m
^{2}/C - b) 4.973E+01 N·m
^{2}/C - c) 5.470E+01 N·m
^{2}/C - d) 6.017E+01 N·m
^{2}/C - e) 6.619E+01 N·m
^{2}/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

- 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

_{1}=16.0 μF, C

_{2}=2.27 μF, and C

_{3}=4.4 μF. The voltage source provides ε=7.11 V. What is the charge on C

_{1}?

- 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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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 mm^{2}.

- 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

_{1}=26.2 V, and ε

_{2}=11.5 V are oriented as shownin the circuit. The resistances are R

_{1}=2.13 kΩ and R

_{2}=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. I

_{3}=3.11 mA and I

_{4}=0.746 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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

_{1}=40.7 V, and ε

_{2}=12.3 V are oriented as shownin the circuit. The resistances are R

_{1}=3.5 kΩ and R

_{2}=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. I

_{3}=3.42 mA and I

_{4}=0.932 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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}=1.5 m. The other four surfaces are rectangles in y=y

_{0}=1.4 m, y=y

_{1}=4.9 m, z=z

_{0}=1.1 m, and z=z

_{1}=4.4 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 5.3m

^{2},and those in the zx plane have area 5.0m

^{2}. 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·m
^{2}/C - b) 8.572E+01 N·m
^{2}/C - c) 9.429E+01 N·m
^{2}/C - d) 1.037E+02 N·m
^{2}/C - e) 1.141E+02 N·m
^{2}/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

_{1}=38.9 V, and ε

_{2}=16.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.3 kΩ and R

_{2}=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. I

_{3}=3.34 mA and I

_{4}=0.955 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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/m
^{2} - b) 5.648E-01 V/m
^{2} - c) 6.212E-01 V/m
^{2} - d) 6.834E-01 V/m
^{2} - e) 7.517E-01 V/m
^{2}

_{1}=54.9 V, and ε

_{2}=19.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.93 kΩ and R

_{2}=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. I

_{3}=9.18 mA and I

_{4}=1.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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

- 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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}=17.5 μF, C

_{2}=2.63 μF, and C

_{3}=5.76 μF. The voltage source provides ε=15.9 V. What is the charge on C

_{1}?

- 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 mm^{2}.

- 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}=2.3 m. The other four surfaces are rectangles in y=y

_{0}=1.2 m, y=y

_{1}=5.5 m, z=z

_{0}=1.7 m, and z=z

_{1}=5.1 m. The surfaces in the yz plane each have area 15.0m

^{2}. Those in the xy plane have area 9.9m

^{2},and those in the zx plane have area 7.8m

^{2}. 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·m
^{2}/C - b) 1.868E+01 N·m
^{2}/C - c) 2.055E+01 N·m
^{2}/C - d) 2.260E+01 N·m
^{2}/C - e) 2.486E+01 N·m
^{2}/C

- 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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}=17.9 μF, C

_{2}=2.76 μF, and C

_{3}=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C

_{1}?

- 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/m
^{2} - b) 1.125E+00 V/m
^{2} - c) 1.237E+00 V/m
^{2} - d) 1.361E+00 V/m
^{2} - e) 1.497E+00 V/m
^{2}

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 mm^{2}.

- 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

_{1}=28.6 V, and ε

_{2}=11.1 V are oriented as shownin the circuit. The resistances are R

_{1}=3.73 kΩ and R

_{2}=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. I

_{3}=3.27 mA and I

_{4}=0.774 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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

_{1}=40.7 V, and ε

_{2}=12.3 V are oriented as shownin the circuit. The resistances are R

_{1}=3.5 kΩ and R

_{2}=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. I

_{3}=3.42 mA and I

_{4}=0.932 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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]

- 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

_{1}=1.3 m. The other four surfaces are rectangles in y=y

_{0}=1.5 m, y=y

_{1}=5.8 m, z=z

_{0}=1.7 m, and z=z

_{1}=5.8 m. The surfaces in the yz plane each have area 18.0m

^{2}. Those in the xy plane have area 5.6m

^{2},and those in the zx plane have area 5.3m

^{2}. 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·m
^{2}/C - b) 4.083E+01 N·m
^{2}/C - c) 4.491E+01 N·m
^{2}/C - d) 4.940E+01 N·m
^{2}/C - e) 5.434E+01 N·m
^{2}/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/m^{2} 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

_{1}=17.7 μF, C

_{2}=2.5 μF, and C

_{3}=5.0 μF. The voltage source provides ε=12.8 V. What is the charge on C

_{1}?

- 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

_{1}=15.4 μF, C

_{2}=2.22 μF, and C

_{3}=4.77 μF. The voltage source provides ε=6.8 V. What is the charge on C

_{1}?

- 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

_{1}=1.8 m. The other four surfaces are rectangles in y=y

_{0}=1.1 m, y=y

_{1}=4.9 m, z=z

_{0}=1.3 m, and z=z

_{1}=5.6 m. The surfaces in the yz plane each have area 16.0m

^{2}. Those in the xy plane have area 6.8m

^{2},and those in the zx plane have area 7.7m

^{2}. 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·m
^{2}/C - b) 7.588E+01 N·m
^{2}/C - c) 8.347E+01 N·m
^{2}/C - d) 9.181E+01 N·m
^{2}/C - e) 1.010E+02 N·m
^{2}/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

- 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/m^{2} 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

_{1}=1.3 m. The other four surfaces are rectangles in y=y

_{0}=1.5 m, y=y

_{1}=5.8 m, z=z

_{0}=1.7 m, and z=z

_{1}=5.8 m. The surfaces in the yz plane each have area 18.0m

^{2}. Those in the xy plane have area 5.6m

^{2},and those in the zx plane have area 5.3m

^{2}. 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·m
^{2}/C - b) 4.083E+01 N·m
^{2}/C - c) 4.491E+01 N·m
^{2}/C - d) 4.940E+01 N·m
^{2}/C - e) 5.434E+01 N·m
^{2}/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

_{1}=17.9 μF, C

_{2}=2.76 μF, and C

_{3}=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C

_{1}?

- 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/m^{2} 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

- 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]

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/m
^{2} - b) 9.559E+00 V/m
^{2} - c) 1.051E+01 V/m
^{2} - d) 1.157E+01 V/m
^{2} - e) 1.272E+01 V/m
^{2}

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

_{1}=1.4 m. The other four surfaces are rectangles in y=y

_{0}=1.3 m, y=y

_{1}=5.6 m, z=z

_{0}=1.7 m, and z=z

_{1}=4.5 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 6.0m

^{2},and those in the zx plane have area 3.9m

^{2}. 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·m
^{2}/C - b) 1.914E+01 N·m
^{2}/C - c) 2.106E+01 N·m
^{2}/C - d) 2.316E+01 N·m
^{2}/C - e) 2.548E+01 N·m
^{2}/C

- 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

- 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

_{1}=17.5 μF, C

_{2}=2.63 μF, and C

_{3}=5.76 μF. The voltage source provides ε=15.9 V. What is the charge on C

_{1}?

- 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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}= 1.18 Ω, R

_{2}= 0.878 Ω, and R

_{2}= 2.11 Ω. V

_{1}and V

_{3}are text 0.637 V and 3.51 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.547 V. What is the absolute value of the current through R

_{1}?

- 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

_{1}=38.9 V, and ε

_{2}=16.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.3 kΩ and R

_{2}=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. I

_{3}=3.34 mA and I

_{4}=0.955 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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]

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/m
^{2} - b) 6.012E+00 V/m
^{2} - c) 6.613E+00 V/m
^{2} - d) 7.274E+00 V/m
^{2} - e) 8.002E+00 V/m
^{2}

_{1}=18.0 μF, C

_{2}=2.88 μF, and C

_{3}=5.34 μF. The voltage source provides ε=11.9 V. What is the charge on C

_{1}?

- 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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}=26.8 V, and ε

_{2}=10.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.2 kΩ and R

_{2}=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. I

_{3}=2.29 mA and I

_{4}=0.464 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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

_{1}= 2.42 Ω, R

_{2}= 1.09 Ω, and R

_{2}= 3.89 Ω. V

_{1}and V

_{3}are text 0.677 V and 1.86 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.745 V. What is the absolute value of the current through R

_{1}?

- 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

- 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

_{1}=1.4 m. The other four surfaces are rectangles in y=y

_{0}=1.3 m, y=y

_{1}=5.6 m, z=z

_{0}=1.7 m, and z=z

_{1}=4.5 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 6.0m

^{2},and those in the zx plane have area 3.9m

^{2}. 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·m
^{2}/C - b) 1.914E+01 N·m
^{2}/C - c) 2.106E+01 N·m
^{2}/C - d) 2.316E+01 N·m
^{2}/C - e) 2.548E+01 N·m
^{2}/C

- 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]

- 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

- 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

_{1}=38.9 V, and ε

_{2}=14.4 V are oriented as shownin the circuit. The resistances are R

_{1}=4.33 kΩ and R

_{2}=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. I

_{3}=5.59 mA and I

_{4}=1.07 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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

_{1}=17.9 μF, C

_{2}=2.76 μF, and C

_{3}=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C

_{1}?

- 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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}= 2.04 Ω, R

_{2}= 1.19 Ω, and R

_{2}= 2.5 Ω. V

_{1}and V

_{3}are text 0.507 V and 3.07 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.602 V. What is the absolute value of the current through R

_{1}?

- 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

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/m
^{2} - b) 1.831E+00 V/m
^{2} - c) 2.014E+00 V/m
^{2} - d) 2.216E+00 V/m
^{2} - e) 2.437E+00 V/m
^{2}

_{1}=1.8 m. The other four surfaces are rectangles in y=y

_{0}=1.4 m, y=y

_{1}=5.0 m, z=z

_{0}=1.6 m, and z=z

_{1}=5.9 m. The surfaces in the yz plane each have area 15.0m

^{2}. Those in the xy plane have area 6.5m

^{2},and those in the zx plane have area 7.7m

^{2}. 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·m
^{2}/C - b) 6.811E+01 N·m
^{2}/C - c) 7.492E+01 N·m
^{2}/C - d) 8.242E+01 N·m
^{2}/C - e) 9.066E+01 N·m
^{2}/C

### T6 L0[edit]

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/m
^{2} - b) 9.559E+00 V/m
^{2} - c) 1.051E+01 V/m
^{2} - d) 1.157E+01 V/m
^{2} - e) 1.272E+01 V/m
^{2}

_{1}=1.2 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=5.0 m, z=z

_{0}=1.9 m, and z=z

_{1}=4.3 m. The surfaces in the yz plane each have area 7.9m

^{2}. Those in the xy plane have area 4.0m

^{2},and those in the zx plane have area 2.9m

^{2}. 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·m
^{2}/C - b) 1.526E+01 N·m
^{2}/C - c) 1.679E+01 N·m
^{2}/C - d) 1.847E+01 N·m
^{2}/C - e) 2.032E+01 N·m
^{2}/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 x^{2} + y^{2} + z^{2} = R^{2}, 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

- 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

_{1}=16.9 μF, C

_{2}=2.3 μF, and C

_{3}=4.67 μF. The voltage source provides ε=13.4 V. What is the charge on C

_{1}?

- 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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}=2.27 Ω, R

_{2}=6.79 Ω, and R

_{3}=15.1 Ω. What is the power dissipated by R

_{2}?

- 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

_{1}=30.5 V, and ε

_{2}=12.0 V are oriented as shownin the circuit. The resistances are R

_{1}=3.79 kΩ and R

_{2}=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. I

_{3}=4.07 mA and I

_{4}=0.73 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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}=2.77 Ω, R

_{2}=6.07 Ω, and R

_{3}=14.5 Ω. What is the power dissipated by R

_{2}?

- 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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

- 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 x^{2} + y^{2} + z^{2} = R^{2}, 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

_{1}=44.4 V, and ε

_{2}=16.8 V are oriented as shownin the circuit. The resistances are R

_{1}=4.58 kΩ and R

_{2}=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. I

_{3}=8.43 mA and I

_{4}=1.46 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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

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/m
^{2} - b) 1.539E+01 V/m
^{2} - c) 1.693E+01 V/m
^{2} - d) 1.862E+01 V/m
^{2} - e) 2.049E+01 V/m
^{2}

_{1}=17.1 μF, C

_{2}=2.87 μF, and C

_{3}=4.74 μF. The voltage source provides ε=6.63 V. What is the charge on C

_{1}?

- 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

_{1}=2.0 m. The other four surfaces are rectangles in y=y

_{0}=1.8 m, y=y

_{1}=4.2 m, z=z

_{0}=1.3 m, and z=z

_{1}=5.8 m. The surfaces in the yz plane each have area 11.0m

^{2}. Those in the xy plane have area 4.8m

^{2},and those in the zx plane have area 9.0m

^{2}. 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·m
^{2}/C - b) 4.537E+01 N·m
^{2}/C - c) 4.991E+01 N·m
^{2}/C - d) 5.490E+01 N·m
^{2}/C - e) 6.039E+01 N·m
^{2}/C

#### T6 L2[edit]

_{1}=2.4 m. The other four surfaces are rectangles in y=y

_{0}=1.1 m, y=y

_{1}=4.8 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.8 m. The surfaces in the yz plane each have area 11.0m

^{2}. Those in the xy plane have area 8.9m

^{2},and those in the zx plane have area 7.2m

^{2}. 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·m
^{2}/C - b) 3.192E+01 N·m
^{2}/C - c) 3.511E+01 N·m
^{2}/C - d) 3.862E+01 N·m
^{2}/C - e) 4.248E+01 N·m
^{2}/C

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/m
^{2} - b) 3.724E+00 V/m
^{2} - c) 4.096E+00 V/m
^{2} - d) 4.506E+00 V/m
^{2} - e) 4.957E+00 V/m
^{2}

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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

- 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

_{1}=18.2 V, and ε

_{2}=6.59 V are oriented as shownin the circuit. The resistances are R

_{1}=5.47 kΩ and R

_{2}=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. I

_{3}=1.64 mA and I

_{4}=0.341 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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

_{1}=1.45 Ω, R

_{2}=7.85 Ω, and R

_{3}=15.8 Ω. What is the power dissipated by R

_{2}?

- 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

_{1}=18.0 μF, C

_{2}=2.88 μF, and C

_{3}=5.34 μF. The voltage source provides ε=11.9 V. What is the charge on C

_{1}?

- 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 x^{2} + y^{2} + z^{2} = R^{2}, 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]

- 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

_{1}=2.8 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=4.5 m, z=z

_{0}=1.5 m, and z=z

_{1}=5.0 m. The surfaces in the yz plane each have area 9.8m

^{2}. Those in the xy plane have area 7.8m

^{2},and those in the zx plane have area 9.8m

^{2}. 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·m
^{2}/C - b) 6.576E+01 N·m
^{2}/C - c) 7.233E+01 N·m
^{2}/C - d) 7.957E+01 N·m
^{2}/C - e) 8.752E+01 N·m
^{2}/C

_{1}=1.8 m. The other four surfaces are rectangles in y=y

_{0}=1.2 m, y=y

_{1}=5.9 m, z=z

_{0}=1.3 m, and z=z

_{1}=5.2 m. The surfaces in the yz plane each have area 18.0m

^{2}. Those in the xy plane have area 8.5m

^{2},and those in the zx plane have area 7.0m

^{2}. 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·m
^{2}/C - b) 5.254E+01 N·m
^{2}/C - c) 5.780E+01 N·m
^{2}/C - d) 6.358E+01 N·m
^{2}/C - e) 6.993E+01 N·m
^{2}/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 P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (9 cm, 0°) and P_{2} 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 m^{2}, 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

_{1}= 2.34 Ω, R

_{2}= 1.34 Ω, and R

_{2}= 2.94 Ω. V

_{1}and V

_{3}are text 0.609 V and 1.68 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.541 V. What is the absolute value of the current through R

_{1}?

- 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

_{1}=24.4 V, and ε

_{2}=6.73 V are oriented as shownin the circuit. The resistances are R

_{1}=5.7 kΩ and R

_{2}=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. I

_{3}=2.36 mA and I

_{4}=0.418 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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 P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (6 cm, 0°) and P_{2} 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

_{1}=14.3 V, and ε

_{2}=5.6 V are oriented as shownin the circuit. The resistances are R

_{1}=5.31 kΩ and R

_{2}=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. I

_{3}=1.12 mA and I

_{4}=0.284 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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

_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- 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

- 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

_{1}=1.6 m. The other four surfaces are rectangles in y=y

_{0}=1.5 m, y=y

_{1}=4.4 m, z=z

_{0}=1.5 m, and z=z

_{1}=5.5 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 4.6m

^{2},and those in the zx plane have area 6.4m

^{2}. 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·m
^{2}/C - b) 3.544E+01 N·m
^{2}/C - c) 3.899E+01 N·m
^{2}/C - d) 4.289E+01 N·m
^{2}/C - e) 4.718E+01 N·m
^{2}/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

_{1}=2.3 m. The other four surfaces are rectangles in y=y

_{0}=1.5 m, y=y

_{1}=5.2 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.4 m. The surfaces in the yz plane each have area 9.6m

^{2}. Those in the xy plane have area 8.5m

^{2},and those in the zx plane have area 6.0m

^{2}. 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·m
^{2}/C - b) 5.203E+01 N·m
^{2}/C - c) 5.723E+01 N·m
^{2}/C - d) 6.295E+01 N·m
^{2}/C - e) 6.925E+01 N·m
^{2}/C

10) An empty parallel-plate capacitor with metal plates has an area of 1.81 m^{2}, 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

_{1}=2.2 m. The other four surfaces are rectangles in y=y

_{0}=1.8 m, y=y

_{1}=5.3 m, z=z

_{0}=1.2 m, and z=z

_{1}=5.5 m. The surfaces in the yz plane each have area 15.0m

^{2}. Those in the xy plane have area 7.7m

^{2},and those in the zx plane have area 9.5m

^{2}. 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·m
^{2}/C - b) 6.588E+01 N·m
^{2}/C - c) 7.247E+01 N·m
^{2}/C - d) 7.971E+01 N·m
^{2}/C - e) 8.769E+01 N·m
^{2}/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 P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (9 cm, 0°) and P_{2} 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

- 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

_{1}=34.7 V, and ε

_{2}=13.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.68 kΩ and R

_{2}=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. I

_{3}=5.68 mA and I

_{4}=0.933 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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

_{1}=2.5 m. The other four surfaces are rectangles in y=y

_{0}=1.3 m, y=y

_{1}=5.3 m, z=z

_{0}=1.3 m, and z=z

_{1}=4.3 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 10.0m

^{2},and those in the zx plane have area 7.5m

^{2}. 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·m
^{2}/C - b) 7.275E+01 N·m
^{2}/C - c) 8.003E+01 N·m
^{2}/C - d) 8.803E+01 N·m
^{2}/C - e) 9.683E+01 N·m
^{2}/C

_{1}= 2.04 Ω, R

_{2}= 1.19 Ω, and R

_{2}= 2.5 Ω. V

_{1}and V

_{3}are text 0.507 V and 3.07 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.602 V. What is the absolute value of the current through R

_{1}?

- 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 m^{2}, 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]

- 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)=ar^{1.2} (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

_{1}=2.1 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=5.6 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.2 m. The surfaces in the yz plane each have area 9.4m

^{2}. Those in the xy plane have area 8.2m

^{2},and those in the zx plane have area 5.0m

^{2}. 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·m
^{2}/C - b) 2.404E+01 N·m
^{2}/C - c) 2.645E+01 N·m
^{2}/C - d) 2.909E+01 N·m
^{2}/C - e) 3.200E+01 N·m
^{2}/C

*a*=

*b*=4 cm.) The charges are q

_{1}=3 μC, q

_{2}=6 μC, q

_{3}=7 μC, and q

_{4}=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

- 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 m^{2}, 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 mm^{2}.

- 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, R_{1} = 1.82 Ω, and R_{2} = R_{2} = 4.14 Ω, are connected in parallel to a 5.65 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- 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}=2.1 m. The other four surfaces are rectangles in y=y

_{0}=1.1 m, y=y

_{1}=5.3 m, z=z

_{0}=1.1 m, and z=z

_{1}=4.3 m. The surfaces in the yz plane each have area 13.0m

^{2}. Those in the xy plane have area 8.8m

^{2},and those in the zx plane have area 6.7m

^{2}. 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·m
^{2}/C - b) 4.316E+01 N·m
^{2}/C - c) 4.748E+01 N·m
^{2}/C - d) 5.222E+01 N·m
^{2}/C - e) 5.745E+01 N·m
^{2}/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)=ar^{1.6} (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

- 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

- 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 m^{2}, 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, R_{1} = 1.43 Ω, and R_{2} = R_{2} = 3.25 Ω, are connected in parallel to a 9.03 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- 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 mm^{2}.

- 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

*a*=

*b*=5 cm.) The charges are q

_{1}=3 μC, q

_{2}=4 μC, q

_{3}=6 μC, and q

_{4}=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)=ar^{1.5} (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

- 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 m^{2}, 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

- 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

*a*=

*b*=5 cm.) The charges are q

_{1}=3 μC, q

_{2}=5 μC, q

_{3}=8 μC, and q

_{4}=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

_{1}=1.9 m. The other four surfaces are rectangles in y=y

_{0}=1.6 m, y=y

_{1}=5.1 m, z=z

_{0}=1.3 m, and z=z

_{1}=4.7 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 6.6m

^{2},and those in the zx plane have area 6.5m

^{2}. 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·m
^{2}/C - b) 5.923E+01 N·m
^{2}/C - c) 6.516E+01 N·m
^{2}/C - d) 7.167E+01 N·m
^{2}/C - e) 7.884E+01 N·m
^{2}/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 mm^{2}.

- 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, R_{1} = 0.906 Ω, and R_{2} = R_{2} = 2.02 Ω, are connected in parallel to a 5.98 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- 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]

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/m
^{2} - b) 5.648E-01 V/m
^{2} - c) 6.212E-01 V/m
^{2} - d) 6.834E-01 V/m
^{2} - e) 7.517E-01 V/m
^{2}

_{1}=2.6 m. The other four surfaces are rectangles in y=y

_{0}=1.2 m, y=y

_{1}=5.9 m, z=z

_{0}=1.9 m, and z=z

_{1}=5.0 m. The surfaces in the yz plane each have area 15.0m

^{2}. Those in the xy plane have area 12.0m

^{2},and those in the zx plane have area 8.1m

^{2}. 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·m
^{2}/C - b) 7.181E+01 N·m
^{2}/C - c) 7.900E+01 N·m
^{2}/C - d) 8.690E+01 N·m
^{2}/C - e) 9.559E+01 N·m
^{2}/C

_{1}=1.4 m. The other four surfaces are rectangles in y=y

_{0}=1.2 m, y=y

_{1}=5.8 m, z=z

_{0}=1.2 m, and z=z

_{1}=5.0 m. The surfaces in the yz plane each have area 17.0m

^{2}. Those in the xy plane have area 6.4m

^{2},and those in the zx plane have area 5.3m

^{2}. 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·m
^{2}/C - b) 2.192E+01 N·m
^{2}/C - c) 2.411E+01 N·m
^{2}/C - d) 2.652E+01 N·m
^{2}/C - e) 2.917E+01 N·m
^{2}/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

*a*=

*b*=5 cm.) The charges are q

_{1}=4 μC, q

_{2}=7 μC, q

_{3}=8 μC, and q

_{4}=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

_{1}=4.75 μF, C

_{2}=2.77 μF, and C

_{3}=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

_{1}=40.3 V, and ε

_{2}=16.8 V are oriented as shownin the circuit. The resistances are R

_{1}=2.57 kΩ and R

_{2}=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. I

_{3}=2.96 mA and I

_{4}=0.752 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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, R_{1} = 0.61 Ω, and R_{2} = R_{2} = 1.35 Ω, are connected in parallel to a 7.04 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- 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/m
^{2} - b) 9.079E-01 V/m
^{2} - c) 9.987E-01 V/m
^{2} - d) 1.099E+00 V/m
^{2} - e) 1.208E+00 V/m
^{2}

*a*=

*b*=4 cm.) The charges are q

_{1}=3 μC, q

_{2}=5 μC, q

_{3}=6 μC, and q

_{4}=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, R_{1} = 0.548 Ω, and R_{2} = R_{2} = 1.24 Ω, are connected in parallel to a 7.16 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- 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

_{1}=1.9 m. The other four surfaces are rectangles in y=y

_{0}=1.6 m, y=y

_{1}=5.1 m, z=z

_{0}=1.3 m, and z=z

_{1}=4.7 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 6.6m

^{2},and those in the zx plane have area 6.5m

^{2}. 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·m
^{2}/C - b) 5.923E+01 N·m
^{2}/C - c) 6.516E+01 N·m
^{2}/C - d) 7.167E+01 N·m
^{2}/C - e) 7.884E+01 N·m
^{2}/C

_{1}=39.0 V, and ε

_{2}=15.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.4 kΩ and R

_{2}=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. I

_{3}=3.58 mA and I

_{4}=0.978 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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

_{1}=1.8 m. The other four surfaces are rectangles in y=y

_{0}=1.4 m, y=y

_{1}=5.0 m, z=z

_{0}=1.6 m, and z=z

_{1}=5.9 m. The surfaces in the yz plane each have area 15.0m

^{2}. Those in the xy plane have area 6.5m

^{2},and those in the zx plane have area 7.7m

^{2}. 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·m
^{2}/C - b) 6.811E+01 N·m
^{2}/C - c) 7.492E+01 N·m
^{2}/C - d) 8.242E+01 N·m
^{2}/C - e) 9.066E+01 N·m
^{2}/C

#### T6 O2[edit]

1) Three resistors, R_{1} = 1.2 Ω, and R_{2} = R_{2} = 2.75 Ω, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R_{1}.)

- 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

_{1}=2.3 m. The other four surfaces are rectangles in y=y

_{0}=1.2 m, y=y

_{1}=5.5 m, z=z

_{0}=1.7 m, and z=z

_{1}=5.1 m. The surfaces in the yz plane each have area 15.0m

^{2}. Those in the xy plane have area 9.9m

^{2},and those in the zx plane have area 7.8m

^{2}. 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·m
^{2}/C - b) 1.868E+01 N·m
^{2}/C - c) 2.055E+01 N·m
^{2}/C - d) 2.260E+01 N·m
^{2}/C - e) 2.486E+01 N·m
^{2}/C

_{1}=49.6 V, and ε

_{2}=19.3 V are oriented as shownin the circuit. The resistances are R

_{1}=4.87 kΩ and R

_{2}=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. I

_{3}=4.37 mA and I

_{4}=1.01 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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

_{1}=1.3 m. The other four surfaces are rectangles in y=y

_{0}=1.6 m, y=y

_{1}=5.3 m, z=z

_{0}=1.3 m, and z=z

_{1}=5.6 m. The surfaces in the yz plane each have area 16.0m

^{2}. Those in the xy plane have area 4.8m

^{2},and those in the zx plane have area 5.6m

^{2}. 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·m
^{2}/C - b) 3.382E+01 N·m
^{2}/C - c) 3.720E+01 N·m
^{2}/C - d) 4.092E+01 N·m
^{2}/C - e) 4.501E+01 N·m
^{2}/C

_{1}=3.06 μF, C

_{2}=3.09 μF, and C

_{3}=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/m
^{2} - b) 8.269E+00 V/m
^{2} - c) 9.096E+00 V/m
^{2} - d) 1.001E+01 V/m
^{2} - e) 1.101E+01 V/m
^{2}

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

*a*=

*b*=5 cm.) The charges are q

_{1}=4 μC, q

_{2}=7 μC, q

_{3}=8 μC, and q

_{4}=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]

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/m
^{2} - b) 2.824E+01 V/m
^{2} - c) 3.106E+01 V/m
^{2} - d) 3.417E+01 V/m
^{2} - e) 3.759E+01 V/m
^{2}

_{1}=1.8 m. The other four surfaces are rectangles in y=y

_{0}=1.1 m, y=y

_{1}=4.9 m, z=z

_{0}=1.3 m, and z=z

_{1}=5.6 m. The surfaces in the yz plane each have area 16.0m

^{2}. Those in the xy plane have area 6.8m

^{2},and those in the zx plane have area 7.7m

^{2}. 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·m
^{2}/C - b) 7.588E+01 N·m
^{2}/C - c) 8.347E+01 N·m
^{2}/C - d) 9.181E+01 N·m
^{2}/C - e) 1.010E+02 N·m
^{2}/C

_{1}=2.5 m. The other four surfaces are rectangles in y=y

_{0}=1.4 m, y=y

_{1}=4.8 m, z=z

_{0}=1.7 m, and z=z

_{1}=4.6 m. The surfaces in the yz plane each have area 9.9m

^{2}. Those in the xy plane have area 8.5m

^{2},and those in the zx plane have area 7.2m

^{2}. 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·m
^{2}/C - b) 9.146E+01 N·m
^{2}/C - c) 1.006E+02 N·m
^{2}/C - d) 1.107E+02 N·m
^{2}/C - e) 1.217E+02 N·m
^{2}/C

- 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

*a*=

*b*=5 cm.) The charges are q

_{1}=3 μC, q

_{2}=4 μC, q

_{3}=6 μC, and q

_{4}=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

_{1}=18.2 μF, C

_{2}=2.44 μF, and C

_{3}=5.0 μF. The voltage source provides ε=7.78 V. What is the energy stored in C

_{2}?

- 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 mm^{2}.

- 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

_{1}=34.7 V, and ε

_{2}=13.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.68 kΩ and R

_{2}=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. I

_{3}=5.68 mA and I

_{4}=0.933 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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

#### T6 P1[edit]

_{1}=15.4 μF, C

_{2}=2.6 μF, and C

_{3}=5.17 μF. The voltage source provides ε=9.6 V. What is the energy stored in C

_{2}?

- 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

_{1}=2.1 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=5.6 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.2 m. The surfaces in the yz plane each have area 9.4m

^{2}. Those in the xy plane have area 8.2m

^{2},and those in the zx plane have area 5.0m

^{2}. 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·m
^{2}/C - b) 2.404E+01 N·m
^{2}/C - c) 2.645E+01 N·m
^{2}/C - d) 2.909E+01 N·m
^{2}/C - e) 3.200E+01 N·m
^{2}/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 mm^{2}.

- 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

_{1}=2.4 m. The other four surfaces are rectangles in y=y

_{0}=1.3 m, y=y

_{1}=5.7 m, z=z

_{0}=1.9 m, and z=z

_{1}=5.4 m. The surfaces in the yz plane each have area 15.0m

^{2}. Those in the xy plane have area 11.0m

^{2},and those in the zx plane have area 8.4m

^{2}. 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·m
^{2}/C - b) 2.213E+01 N·m
^{2}/C - c) 2.435E+01 N·m
^{2}/C - d) 2.678E+01 N·m
^{2}/C - e) 2.946E+01 N·m
^{2}/C

*a*=

*b*=5 cm.) The charges are q

_{1}=3 μC, q

_{2}=5 μC, q

_{3}=8 μC, and q

_{4}=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

_{1}=2.84 Ω, R

_{2}=7.06 Ω, and R

_{3}=13.1 Ω. What is the power dissipated by R

_{2}?

- 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/m
^{2} - b) 6.212E+00 V/m
^{2} - c) 6.833E+00 V/m
^{2} - d) 7.517E+00 V/m
^{2} - e) 8.268E+00 V/m
^{2}

_{1}=67.2 V, and ε

_{2}=18.7 V are oriented as shownin the circuit. The resistances are R

_{1}=3.45 kΩ and R

_{2}=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. I

_{3}=9.49 mA and I

_{4}=1.81 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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

- 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]

- 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

_{1}=2.0 m. The other four surfaces are rectangles in y=y

_{0}=1.3 m, y=y

_{1}=4.4 m, z=z

_{0}=1.3 m, and z=z

_{1}=4.2 m. The surfaces in the yz plane each have area 9.0m

^{2}. Those in the xy plane have area 6.2m

^{2},and those in the zx plane have area 5.8m

^{2}. 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·m
^{2}/C - b) 4.065E+01 N·m
^{2}/C - c) 4.472E+01 N·m
^{2}/C - d) 4.919E+01 N·m
^{2}/C - e) 5.411E+01 N·m
^{2}/C

_{1}=1.86 Ω, R

_{2}=7.66 Ω, and R

_{3}=12.9 Ω. What is the power dissipated by R

_{2}?

- 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

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/m
^{2} - b) 1.767E+00 V/m
^{2} - c) 1.943E+00 V/m
^{2} - d) 2.138E+00 V/m
^{2} - e) 2.351E+00 V/m
^{2}

_{1}=2.0 m. The other four surfaces are rectangles in y=y

_{0}=1.8 m, y=y

_{1}=5.8 m, z=z

_{0}=1.9 m, and z=z

_{1}=5.9 m. The surfaces in the yz plane each have area 16.0m

^{2}. Those in the xy plane have area 8.0m

^{2},and those in the zx plane have area 8.0m

^{2}. 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·m
^{2}/C - b) 4.028E+01 N·m
^{2}/C - c) 4.430E+01 N·m
^{2}/C - d) 4.873E+01 N·m
^{2}/C - e) 5.361E+01 N·m
^{2}/C

_{1}=17.3 V, and ε

_{2}=6.46 V are oriented as shownin the circuit. The resistances are R

_{1}=2.54 kΩ and R

_{2}=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. I

_{3}=1.1 mA and I

_{4}=0.281 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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

*a*=

*b*=3 cm.) The charges are q

_{1}=3 μC, q

_{2}=6 μC, q

_{3}=9 μC, and q

_{4}=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 mm^{2}.

- 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

_{1}=16.3 μF, C

_{2}=2.17 μF, and C

_{3}=4.67 μF. The voltage source provides ε=8.35 V. What is the energy stored in C

_{2}?

- 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]

- a) 6.925E+09 N/C
^{2} - b) 7.617E+09 N/C
^{2} - c) 8.379E+09 N/C
^{2} - d) 9.217E+09 N/C
^{2} - e) 1.014E+10 N/C
^{2}

_{1}=2.4 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=5.8 m, z=z

_{0}=1.3 m, and z=z

_{1}=4.4 m. The surfaces in the yz plane each have area 13.0m

^{2}. Those in the xy plane have area 9.8m

^{2},and those in the zx plane have area 7.4m

^{2}. 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·m
^{2}/C - b) 9.303E+01 N·m
^{2}/C - c) 1.023E+02 N·m
^{2}/C - d) 1.126E+02 N·m
^{2}/C - e) 1.238E+02 N·m
^{2}/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 x^{2} + y^{2} + z^{2} = R^{2}, 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/m^{2} 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 m^{2}, 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

_{1}=2.38 Ω, R

_{2}=5.11 Ω, and R

_{3}=14.6 Ω. What is the power dissipated by R

_{2}?

- 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

_{1}=40.6 V, and ε

_{2}=13.5 V are oriented as shownin the circuit. The resistances are R

_{1}=4.35 kΩ and R

_{2}=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. I

_{3}=2.73 mA and I

_{4}=0.78 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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}=43.0 V, and ε

_{2}=13.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.97 kΩ and R

_{2}=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. I

_{3}=6.25 mA and I

_{4}=1.82 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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

- a) 4.142E+09 N/C
^{2} - b) 4.556E+09 N/C
^{2} - c) 5.012E+09 N/C
^{2} - d) 5.513E+09 N/C
^{2} - e) 6.064E+09 N/C
^{2}

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

_{1}=2.66 Ω, R

_{2}=7.29 Ω, and R

_{3}=14.5 Ω. What is the power dissipated by R

_{2}?

- 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/m^{2} 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

_{1}=2.4 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=5.8 m, z=z

_{0}=1.3 m, and z=z

_{1}=4.4 m. The surfaces in the yz plane each have area 13.0m

^{2}. Those in the xy plane have area 9.8m

^{2},and those in the zx plane have area 7.4m

^{2}. 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·m
^{2}/C - b) 9.303E+01 N·m
^{2}/C - c) 1.023E+02 N·m
^{2}/C - d) 1.126E+02 N·m
^{2}/C - e) 1.238E+02 N·m
^{2}/C

7) An empty parallel-plate capacitor with metal plates has an area of 2.83 m^{2}, 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 x^{2} + y^{2} + z^{2} = R^{2}, 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}=44.4 V, and ε

_{2}=16.8 V are oriented as shownin the circuit. The resistances are R

_{1}=4.58 kΩ and R

_{2}=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. I

_{3}=8.43 mA and I

_{4}=1.46 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- 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

_{1}=1.7 m. The other four surfaces are rectangles in y=y

_{0}=1.5 m, y=y

_{1}=5.7 m, z=z

_{0}=1.4 m, and z=z

_{1}=4.8 m. The surfaces in the yz plane each have area 14.0m

^{2}. Those in the xy plane have area 7.1m

^{2},and those in the zx plane have area 5.8m

^{2}. 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·m
^{2}/C - b) 7.612E+01 N·m
^{2}/C - c) 8.373E+01 N·m
^{2}/C - d) 9.210E+01 N·m
^{2}/C - e) 1.013E+02 N·m
^{2}/C

_{1}=1.64 Ω, R

_{2}=6.56 Ω, and R

_{3}=12.8 Ω. What is the power dissipated by R

_{2}?

- 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 m^{2}, 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

- a) 5.402E+09 N/C
^{2} - b) 5.943E+09 N/C
^{2} - c) 6.537E+09 N/C
^{2} - d) 7.191E+09 N/C
^{2} - e) 7.910E+09 N/C
^{2}

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/m^{2} 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 x^{2} + y^{2} + z^{2} = R^{2}, 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 m^{2}. 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

_{1}=2.8 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=4.5 m, z=z

_{0}=1.5 m, and z=z

_{1}=5.0 m. The surfaces in the yz plane each have area 9.8m

^{2}. Those in the xy plane have area 7.8m

^{2},and those in the zx plane have area 9.8m

^{2}. 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·m
^{2}/C - b) 6.576E+01 N·m
^{2}/C - c) 7.233E+01 N·m
^{2}/C - d) 7.957E+01 N·m
^{2}/C - e) 8.752E+01 N·m
^{2}/C

- 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 m^{2}, 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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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/m^{3} 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
^{−}/m^{3} - b) 4.411E+28 e
^{−}/m^{3} - c) 4.852E+28 e
^{−}/m^{3} - d) 5.337E+28 e
^{−}/m^{3} - e) 5.871E+28 e
^{−}/m^{3}

_{1}=30.3 V, and ε

_{2}=8.6 V are oriented as shownin the circuit. The resistances are R

_{1}=3.81 kΩ and R

_{2}=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. I

_{3}=2.38 mA and I

_{4}=0.416 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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/m^{3} 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
^{−}/m^{3} - b) 4.323E+28 e
^{−}/m^{3} - c) 4.755E+28 e
^{−}/m^{3} - d) 5.231E+28 e
^{−}/m^{3} - e) 5.754E+28 e
^{−}/m^{3}

_{1}=2.8 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=4.5 m, z=z

_{0}=1.5 m, and z=z

_{1}=5.0 m. The surfaces in the yz plane each have area 9.8m

^{2}. Those in the xy plane have area 7.8m

^{2},and those in the zx plane have area 9.8m

^{2}. 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·m
^{2}/C - b) 6.576E+01 N·m
^{2}/C - c) 7.233E+01 N·m
^{2}/C - d) 7.957E+01 N·m
^{2}/C - e) 8.752E+01 N·m
^{2}/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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}=57.0 V, and ε

_{2}=18.1 V are oriented as shownin the circuit. The resistances are R

_{1}=4.95 kΩ and R

_{2}=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. I

_{3}=4.23 mA and I

_{4}=1.04 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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

- 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 m^{2}. 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 m^{2}, 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/m^{3} 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
^{−}/m^{3} - b) 2.521E+29 e
^{−}/m^{3} - c) 2.773E+29 e
^{−}/m^{3} - d) 3.051E+29 e
^{−}/m^{3} - e) 3.356E+29 e
^{−}/m^{3}

- 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

_{1}=27.1 V, and ε

_{2}=8.04 V are oriented as shownin the circuit. The resistances are R

_{1}=2.94 kΩ and R

_{2}=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. I

_{3}=2.87 mA and I

_{4}=0.57 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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

_{1}=1.5 m. The other four surfaces are rectangles in y=y

_{0}=1.6 m, y=y

_{1}=4.3 m, z=z

_{0}=1.3 m, and z=z

_{1}=5.1 m. The surfaces in the yz plane each have area 10.0m

^{2}. Those in the xy plane have area 4.0m

^{2},and those in the zx plane have area 5.7m

^{2}. 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·m
^{2}/C - b) 3.574E+01 N·m
^{2}/C - c) 3.931E+01 N·m
^{2}/C - d) 4.324E+01 N·m
^{2}/C - e) 4.757E+01 N·m
^{2}/C

6) A large thin isolated square plate has an area of 4 m^{2}. 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 m^{2}, 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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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]

- 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)=ar^{1.5} (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

*a*=

*b*=5 cm.) The charges are q

_{1}=3 μC, q

_{2}=4 μC, q

_{3}=7 μC, and q

_{4}=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

_{1}=16.1 μF, C

_{2}=2.14 μF, and C

_{3}=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C

_{2}?

- 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 mm^{2}.

- 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

_{1}=30.3 V, and ε

_{2}=8.6 V are oriented as shownin the circuit. The resistances are R

_{1}=3.81 kΩ and R

_{2}=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. I

_{3}=2.38 mA and I

_{4}=0.416 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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

- 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 mm^{2}.

- 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

- 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

_{1}=16.9 μF, C

_{2}=2.86 μF, and C

_{3}=5.1 μF. The voltage source provides ε=9.98 V. What is the energy stored in C

_{2}?

- 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

- 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)=ar^{1.6} (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

_{1}=57.0 V, and ε

_{2}=18.1 V are oriented as shownin the circuit. The resistances are R

_{1}=4.95 kΩ and R

_{2}=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. I

_{3}=4.23 mA and I

_{4}=1.04 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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

*a*=

*b*=2 cm.) The charges are q

_{1}=4 μC, q

_{2}=7 μC, q

_{3}=8 μC, and q

_{4}=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

- 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 mm^{2}.

- 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

- 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

_{1}=17.6 μF, C

_{2}=2.12 μF, and C

_{3}=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C

_{2}?

- 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

_{1}=39.2 V, and ε

_{2}=12.6 V are oriented as shownin the circuit. The resistances are R

_{1}=3.86 kΩ and R

_{2}=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. I

_{3}=4.05 mA and I

_{4}=0.701 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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

*a*=

*b*=4 cm.) The charges are q

_{1}=3 μC, q

_{2}=6 μC, q

_{3}=9 μC, and q

_{4}=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)=ar^{1.5} (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]

- 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

_{1}=2.4 m. The other four surfaces are rectangles in y=y

_{0}=1.1 m, y=y

_{1}=4.8 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.8 m. The surfaces in the yz plane each have area 11.0m

^{2}. Those in the xy plane have area 8.9m

^{2},and those in the zx plane have area 7.2m

^{2}. 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·m
^{2}/C - b) 3.192E+01 N·m
^{2}/C - c) 3.511E+01 N·m
^{2}/C - d) 3.862E+01 N·m
^{2}/C - e) 4.248E+01 N·m
^{2}/C

_{1}=2.3 m. The other four surfaces are rectangles in y=y

_{0}=1.5 m, y=y

_{1}=4.6 m, z=z

_{0}=1.6 m, and z=z

_{1}=5.8 m. The surfaces in the yz plane each have area 13.0m

^{2}. Those in the xy plane have area 7.1m

^{2},and those in the zx plane have area 9.7m

^{2}. 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·m
^{2}/C - b) 9.256E+01 N·m
^{2}/C - c) 1.018E+02 N·m
^{2}/C - d) 1.120E+02 N·m
^{2}/C - e) 1.232E+02 N·m
^{2}/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

*a*=

*b*=3 cm.) The charges are q

_{1}=3 μC, q

_{2}=6 μC, q

_{3}=9 μC, and q

_{4}=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

_{1}=3.25 μF, C

_{2}=4.87 μF, and C

_{3}=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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}=24.4 V, and ε

_{2}=6.73 V are oriented as shownin the circuit. The resistances are R

_{1}=5.7 kΩ and R

_{2}=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. I

_{3}=2.36 mA and I

_{4}=0.418 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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

_{1}= 2.74 Ω, R

_{2}= 1.63 Ω, and R

_{2}= 2.75 Ω. V

_{1}and V

_{3}are text 0.485 V and 2.01 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.555 V. What is the absolute value of the current through R

_{1}?

- 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

_{1}=1.6 m. The other four surfaces are rectangles in y=y

_{0}=1.3 m, y=y

_{1}=4.4 m, z=z

_{0}=1.4 m, and z=z

_{1}=5.5 m. The surfaces in the yz plane each have area 13.0m

^{2}. Those in the xy plane have area 5.0m

^{2},and those in the zx plane have area 6.6m

^{2}. 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·m
^{2}/C - b) 3.032E+01 N·m
^{2}/C - c) 3.335E+01 N·m
^{2}/C - d) 3.668E+01 N·m
^{2}/C - e) 4.035E+01 N·m
^{2}/C

_{1}=2.4 m. The other four surfaces are rectangles in y=y

_{0}=1.1 m, y=y

_{1}=4.8 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.8 m. The surfaces in the yz plane each have area 11.0m

^{2}. Those in the xy plane have area 8.9m

^{2},and those in the zx plane have area 7.2m

^{2}. 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·m
^{2}/C - b) 3.192E+01 N·m
^{2}/C - c) 3.511E+01 N·m
^{2}/C - d) 3.862E+01 N·m
^{2}/C - e) 4.248E+01 N·m
^{2}/C

- 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

_{1}=3.54 μF, C

_{2}=3.53 μF, and C

_{3}=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

_{1}= 2.42 Ω, R

_{2}= 1.09 Ω, and R

_{2}= 3.89 Ω. V

_{1}and V

_{3}are text 0.677 V and 1.86 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.745 V. What is the absolute value of the current through R

_{1}?

- 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

_{1}=54.9 V, and ε

_{2}=19.8 V are oriented as shownin the circuit. The resistances are R

_{1}=3.93 kΩ and R

_{2}=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. I

_{3}=9.18 mA and I

_{4}=1.83 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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

*a*=

*b*=2 cm.) The charges are q

_{1}=4 μC, q

_{2}=7 μC, q

_{3}=8 μC, and q

_{4}=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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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]

- 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

_{1}=36.7 V, and ε

_{2}=12.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.52 kΩ and R

_{2}=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. I

_{3}=4.14 mA and I

_{4}=1.19 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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

*a*=

*b*=3 cm.) The charges are q

_{1}=3 μC, q

_{2}=5 μC, q

_{3}=7 μC, and q

_{4}=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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}=1.8 m. The other four surfaces are rectangles in y=y

_{0}=1.2 m, y=y

_{1}=5.9 m, z=z

_{0}=1.3 m, and z=z

_{1}=5.2 m. The surfaces in the yz plane each have area 18.0m

^{2}. Those in the xy plane have area 8.5m

^{2},and those in the zx plane have area 7.0m

^{2}. 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·m
^{2}/C - b) 5.254E+01 N·m
^{2}/C - c) 5.780E+01 N·m
^{2}/C - d) 6.358E+01 N·m
^{2}/C - e) 6.993E+01 N·m
^{2}/C

_{1}=2.49 μF, C

_{2}=4.24 μF, and C

_{3}=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

_{1}= 1.33 Ω, R

_{2}= 1.72 Ω, and R

_{2}= 3.69 Ω. V

_{1}and V

_{3}are text 0.606 V and 3.31 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.608 V. What is the absolute value of the current through R

_{1}?

- 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

_{1}=1.2 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=5.0 m, z=z

_{0}=1.9 m, and z=z

_{1}=4.3 m. The surfaces in the yz plane each have area 7.9m

^{2}. Those in the xy plane have area 4.0m

^{2},and those in the zx plane have area 2.9m

^{2}. 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·m
^{2}/C - b) 1.526E+01 N·m
^{2}/C - c) 1.679E+01 N·m
^{2}/C - d) 1.847E+01 N·m
^{2}/C - e) 2.032E+01 N·m
^{2}/C

### T6 U0[edit]

- 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)=ar^{1.8} (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

_{1}=1.4 m. The other four surfaces are rectangles in y=y

_{0}=1.6 m, y=y

_{1}=4.2 m, z=z

_{0}=1.1 m, and z=z

_{1}=5.9 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 3.6m

^{2},and those in the zx plane have area 6.7m

^{2}. 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·m
^{2}/C - b) 4.862E+01 N·m
^{2}/C - c) 5.348E+01 N·m
^{2}/C - d) 5.882E+01 N·m
^{2}/C - e) 6.471E+01 N·m
^{2}/C

4) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=19 V is x^{2} + y^{2} + z^{2} = R^{2}, 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

_{1}=15.7 μF, C

_{2}=2.87 μF, and C

_{3}=5.46 μF. The voltage source provides ε=5.38 V. What is the energy stored in C

_{2}?

- 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/m^{3} 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
^{−}/m^{3} - b) 1.840E+29 e
^{−}/m^{3} - c) 2.024E+29 e
^{−}/m^{3} - d) 2.226E+29 e
^{−}/m^{3} - e) 2.449E+29 e
^{−}/m^{3}

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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}=40.7 V, and ε

_{2}=12.3 V are oriented as shownin the circuit. The resistances are R

_{1}=3.5 kΩ and R

_{2}=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. I

_{3}=3.42 mA and I

_{4}=0.932 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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

_{1}= 1.57 Ω, R

_{2}= 1.25 Ω, and R

_{2}= 3.38 Ω. V

_{1}and V

_{3}are text 0.585 V and 2.91 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.55 V. What is the absolute value of the current through R

_{1}?

- 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/m^{3} 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
^{−}/m^{3} - b) 4.323E+28 e
^{−}/m^{3} - c) 4.755E+28 e
^{−}/m^{3} - d) 5.231E+28 e
^{−}/m^{3} - e) 5.754E+28 e
^{−}/m^{3}

2) If a 24 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=97 V is x^{2} + y^{2} + z^{2} = R^{2}, 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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}=36.7 V, and ε

_{2}=12.1 V are oriented as shownin the circuit. The resistances are R

_{1}=2.52 kΩ and R

_{2}=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. I

_{3}=4.14 mA and I

_{4}=1.19 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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

_{1}= 2.49 Ω, R

_{2}= 1.72 Ω, and R

_{2}= 3.58 Ω. V

_{1}and V

_{3}are text 0.417 V and 1.83 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.53 V. What is the absolute value of the current through R

_{1}?

- 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)=ar^{1.2} (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

_{1}=16.7 μF, C

_{2}=2.26 μF, and C

_{3}=4.53 μF. The voltage source provides ε=10.7 V. What is the energy stored in C

_{2}?

- 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

_{1}=1.3 m. The other four surfaces are rectangles in y=y

_{0}=1.6 m, y=y

_{1}=5.2 m, z=z

_{0}=1.6 m, and z=z

_{1}=4.7 m. The surfaces in the yz plane each have area 11.0m

^{2}. Those in the xy plane have area 4.7m

^{2},and those in the zx plane have area 4.0m

^{2}. 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·m
^{2}/C - b) 2.436E+01 N·m
^{2}/C - c) 2.679E+01 N·m
^{2}/C - d) 2.947E+01 N·m
^{2}/C - e) 3.242E+01 N·m
^{2}/C

#### 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)=ar^{1.4} (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/m^{3} 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
^{−}/m^{3} - b) 3.682E+28 e
^{−}/m^{3} - c) 4.050E+28 e
^{−}/m^{3} - d) 4.455E+28 e
^{−}/m^{3} - e) 4.901E+28 e
^{−}/m^{3}

_{1}=2.0 m. The other four surfaces are rectangles in y=y

_{0}=1.3 m, y=y

_{1}=4.4 m, z=z

_{0}=1.3 m, and z=z

_{1}=4.2 m. The surfaces in the yz plane each have area 9.0m

^{2}. Those in the xy plane have area 6.2m

^{2},and those in the zx plane have area 5.8m

^{2}. 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·m
^{2}/C - b) 4.065E+01 N·m
^{2}/C - c) 4.472E+01 N·m
^{2}/C - d) 4.919E+01 N·m
^{2}/C - e) 5.411E+01 N·m
^{2}/C

_{1}= 1.81 Ω, R

_{2}= 1.18 Ω, and R

_{2}= 2.62 Ω. V

_{1}and V

_{3}are text 0.628 V and 2.54 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.748 V. What is the absolute value of the current through R

_{1}?

- 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

_{1}=18.2 μF, C

_{2}=2.44 μF, and C

_{3}=5.0 μF. The voltage source provides ε=7.78 V. What is the energy stored in C

_{2}?

- 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 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/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

_{1}=34.7 V, and ε

_{2}=13.9 V are oriented as shownin the circuit. The resistances are R

_{1}=3.68 kΩ and R

_{2}=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. I

_{3}=5.68 mA and I

_{4}=0.933 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- 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 x^{2} + y^{2} + z^{2} = R^{2}, 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

- 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 m^{2}. 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

_{1}=1.4 m. The other four surfaces are rectangles in y=y

_{0}=1.6 m, y=y

_{1}=4.2 m, z=z

_{0}=1.1 m, and z=z

_{1}=5.9 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 3.6m

^{2},and those in the zx plane have area 6.7m

^{2}. 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·m
^{2}/C - b) 4.862E+01 N·m
^{2}/C - c) 5.348E+01 N·m
^{2}/C - d) 5.882E+01 N·m
^{2}/C - e) 6.471E+01 N·m
^{2}/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/m^{2} 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

_{1}=17.7 μF, C

_{2}=2.48 μF, and C

_{3}=4.68 μF. The voltage source provides ε=12.7 V. What is the energy stored in C

_{2}?

- 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/m^{3} 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
^{−}/m^{3} - b) 2.036E+29 e
^{−}/m^{3} - c) 2.239E+29 e
^{−}/m^{3} - d) 2.463E+29 e
^{−}/m^{3} - e) 2.709E+29 e
^{−}/m^{3}

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

- 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/m^{3} 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
^{−}/m^{3} - b) 1.183E+29 e
^{−}/m^{3} - c) 1.301E+29 e
^{−}/m^{3} - d) 1.431E+29 e
^{−}/m^{3} - e) 1.574E+29 e
^{−}/m^{3}

4) Two large parallel conducting plates are separated by 6.67 mm. Equal and opposite surface charges of 7.080E-07 C/m^{2} 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

_{1}=16.7 μF, C

_{2}=2.26 μF, and C

_{3}=4.53 μF. The voltage source provides ε=10.7 V. What is the energy stored in C

_{2}?

- 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

_{1}=2.3 m. The other four surfaces are rectangles in y=y

_{0}=1.2 m, y=y

_{1}=5.5 m, z=z

_{0}=1.7 m, and z=z

_{1}=5.1 m. The surfaces in the yz plane each have area 15.0m

^{2}. Those in the xy plane have area 9.9m

^{2},and those in the zx plane have area 7.8m

^{2}. 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·m
^{2}/C - b) 1.868E+01 N·m
^{2}/C - c) 2.055E+01 N·m
^{2}/C - d) 2.260E+01 N·m
^{2}/C - e) 2.486E+01 N·m
^{2}/C

7) A large thin isolated square plate has an area of 4 m^{2}. 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

- 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}=16.5 μF, C

_{2}=2.7 μF, and C

_{3}=4.82 μF. The voltage source provides ε=15.7 V. What is the energy stored in C

_{2}?

- 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 m^{2}. 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

_{1}=2.4 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=5.8 m, z=z

_{0}=1.3 m, and z=z

_{1}=4.4 m. The surfaces in the yz plane each have area 13.0m

^{2}. Those in the xy plane have area 9.8m

^{2},and those in the zx plane have area 7.4m

^{2}. 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·m
^{2}/C - b) 9.303E+01 N·m
^{2}/C - c) 1.023E+02 N·m
^{2}/C - d) 1.126E+02 N·m
^{2}/C - e) 1.238E+02 N·m
^{2}/C

6) A make-believe metal has a density of 7.000E+03 kg/m^{3} 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
^{−}/m^{3} - b) 3.541E+28 e
^{−}/m^{3} - c) 3.896E+28 e
^{−}/m^{3} - d) 4.285E+28 e
^{−}/m^{3} - e) 4.714E+28 e
^{−}/m^{3}

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/m^{2} 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

- 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]

- 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

_{1}=2.8 m. The other four surfaces are rectangles in y=y

_{0}=1.4 m, y=y

_{1}=4.7 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.7 m. The surfaces in the yz plane each have area 9.6m

^{2}. Those in the xy plane have area 9.2m

^{2},and those in the zx plane have area 8.1m

^{2}. 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·m
^{2}/C - b) 2.347E+01 N·m
^{2}/C - c) 2.582E+01 N·m
^{2}/C - d) 2.840E+01 N·m
^{2}/C - e) 3.124E+01 N·m
^{2}/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)=ar^{1.4} (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/m^{2} 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 x^{2} + y^{2} + z^{2} = R^{2}, 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 m^{2}, 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

_{1}=28.6 V, and ε

_{2}=11.1 V are oriented as shownin the circuit. The resistances are R

_{1}=3.73 kΩ and R

_{2}=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. I

_{3}=3.27 mA and I

_{4}=0.774 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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}=1.5 m. The other four surfaces are rectangles in y=y

_{0}=1.4 m, y=y

_{1}=4.3 m, z=z

_{0}=1.2 m, and z=z

_{1}=4.6 m. The surfaces in the yz plane each have area 9.9m

^{2}. Those in the xy plane have area 4.3m

^{2},and those in the zx plane have area 5.1m

^{2}. 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·m
^{2}/C - b) 4.125E+01 N·m
^{2}/C - c) 4.537E+01 N·m
^{2}/C - d) 4.991E+01 N·m
^{2}/C - e) 5.490E+01 N·m
^{2}/C

2) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x^{2} + y^{2} + z^{2} = R^{2}, 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

_{1}=26.2 V, and ε

_{2}=8.29 V are oriented as shownin the circuit. The resistances are R

_{1}=3.43 kΩ and R

_{2}=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. I

_{3}=4.09 mA and I

_{4}=1.06 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{1}?

- 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