Quizbank/Electricity and Magnetism (calculus) Exams/T1(5-10)

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calcPhyEMt/T1(5-10) ID153290827354 (Study guide)

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

Download: file:Quizbank_Electricity_and_Magnetism_(calculus)_Exams_T1(5-10)_-_Wikiversity.pdf

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


T1(5-10) A0[edit]

1)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 5.581E+09 N/C2
b) 6.139E+09 N/C2
c) 6.753E+09 N/C2
d) 7.428E+09 N/C2
e) 8.171E+09 N/C2
2)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.357E+01 degrees
b) 4.793E+01 degrees
c) 5.272E+01 degrees
d) 5.799E+01 degrees
e) 6.379E+01 degrees

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) 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

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

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

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

a) 1.873E+18 electrons
b) 2.061E+18 electrons
c) 2.267E+18 electrons
d) 2.494E+18 electrons
e) 2.743E+18 electrons
6)
Four charges at corners of rectangle.svg
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=3 μC, q2=5 μC, q3=7 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.998E+01 J
b) 6.598E+01 J
c) 7.257E+01 J
d) 7.983E+01 J
e) 8.781E+01 J

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

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

8) Imagine a substance could be made into a very hot filament. Suppose the resitance is 2.94 Ω at a temperature of 30°C and that the temperature coefficient of expansion is 5.900E-03 (°C)−1). What is the resistance at a temperature of 445 °C?

a) 1.014E+01 Ω
b) 1.065E+01 Ω
c) 1.118E+01 Ω
d) 1.174E+01 Ω
e) 1.232E+01 Ω
9)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 351 V. If the combined external and internal resistance is 148 &Omega and the capacitance is 60 mF, how long will it take for the capacitor's voltage to reach 227.0 V?
a) 9.240E+00 s
b) 1.016E+01 s
c) 1.118E+01 s
d) 1.230E+01 s
e) 1.353E+01 s
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=49.6 V, and ε2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 kΩ and R2=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 3.055E+00 mA
b) 3.360E+00 mA
c) 3.696E+00 mA
d) 4.066E+00 mA
e) 4.472E+00 mA




T1(5-10) A1[edit]

1)
Four charges at corners of rectangle.svg
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.178E+01 J
b) 5.696E+01 J
c) 6.266E+01 J
d) 6.892E+01 J
e) 7.582E+01 J
2)
Kirchhoff loop w external current.svg
Two sources of emf ε1=43.0 V, and ε2=13.8 V are oriented as shownin the circuit. The resistances are R1=3.97 kΩ and R2=1.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=6.25 mA and I4=1.82 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 3.661E+00 mA
b) 4.027E+00 mA
c) 4.430E+00 mA
d) 4.873E+00 mA
e) 5.360E+00 mA
3)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.743E+01 degrees
b) 5.217E+01 degrees
c) 5.739E+01 degrees
d) 6.313E+01 degrees
e) 6.944E+01 degrees

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

a) 2.351E+01 μC
b) 2.586E+01 μC
c) 2.844E+01 μC
d) 3.129E+01 μC
e) 3.442E+01 μC
5)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 301 V. If the combined external and internal resistance is 245 &Omega and the capacitance is 63 mF, how long will it take for the capacitor's voltage to reach 192.0 V?
a) 1.296E+01 s
b) 1.425E+01 s
c) 1.568E+01 s
d) 1.725E+01 s
e) 1.897E+01 s

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=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

7) 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

8) Imagine a substance could be made into a very hot filament. Suppose the resitance is 2.89 Ω at a temperature of 89°C and that the temperature coefficient of expansion is 5.340E-03 (°C)−1). What is the resistance at a temperature of 566 °C?

a) 9.763E+00 Ω
b) 1.025E+01 Ω
c) 1.076E+01 Ω
d) 1.130E+01 Ω
e) 1.187E+01 Ω
9)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 1.764E+09 N/C2
b) 1.941E+09 N/C2
c) 2.135E+09 N/C2
d) 2.348E+09 N/C2
e) 2.583E+09 N/C2

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

a) 1.457E+02 N/C
b) 1.603E+02 N/C
c) 1.763E+02 N/C
d) 1.939E+02 N/C
e) 2.133E+02 N/C




T1(5-10) A2[edit]

1)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 130 V. If the combined external and internal resistance is 109 &Omega and the capacitance is 59 mF, how long will it take for the capacitor's voltage to reach 69.9 V?
a) 3.728E+00 s
b) 4.101E+00 s
c) 4.511E+00 s
d) 4.962E+00 s
e) 5.458E+00 s
2)
Four charges at corners of rectangle.svg
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 7.982E+01 J
b) 8.780E+01 J
c) 9.658E+01 J
d) 1.062E+02 J
e) 1.169E+02 J

3) Imagine a substance could be made into a very hot filament. Suppose the resitance is 2.61 Ω at a temperature of 92°C and that the temperature coefficient of expansion is 4.260E-03 (°C)−1). What is the resistance at a temperature of 422 °C?

a) 6.279E+00 Ω
b) 6.593E+00 Ω
c) 6.923E+00 Ω
d) 7.269E+00 Ω
e) 7.632E+00 Ω
4)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.243E+01 degrees
b) 5.767E+01 degrees
c) 6.343E+01 degrees
d) 6.978E+01 degrees
e) 7.676E+01 degrees

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

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

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

a) 4.005E+01 μC
b) 4.405E+01 μC
c) 4.846E+01 μC
d) 5.330E+01 μC
e) 5.864E+01 μC
7)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.4 m (on axis) away from the loop's center?
a) 7.119E+09 N/C2
b) 7.831E+09 N/C2
c) 8.614E+09 N/C2
d) 9.476E+09 N/C2
e) 1.042E+10 N/C2
8)
Kirchhoff loop w external current.svg
Two sources of emf ε1=24.9 V, and ε2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.32 kΩ and R2=2.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.74 mA and I4=0.444 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.725E+00 mA
b) 1.898E+00 mA
c) 2.087E+00 mA
d) 2.296E+00 mA
e) 2.526E+00 mA

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=5), and (x=6, y=5), where x and y are measured in meters. The electric field is,

a) 2.067E+03 V·m
b) 2.274E+03 V·m
c) 2.501E+03 V·m
d) 2.752E+03 V·m
e) 3.027E+03 V·m

10) A non-conducting sphere of radius R=2.9 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.5 (r≤R) where a=2 nC·m-1.5. What is the magnitude of the electric field at a distance of 1.5 m from the center?

a) 1.383E+02 N/C
b) 1.522E+02 N/C
c) 1.674E+02 N/C
d) 1.841E+02 N/C
e) 2.025E+02 N/C




T1(5-10) B0[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) 5.647E+00 V/m2
b) 6.212E+00 V/m2
c) 6.833E+00 V/m2
d) 7.517E+00 V/m2
e) 8.268E+00 V/m2
2)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 1.764E+09 N/C2
b) 1.941E+09 N/C2
c) 2.135E+09 N/C2
d) 2.348E+09 N/C2
e) 2.583E+09 N/C2
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.8 m, y=y1=5.8 m, z=z0=1.9 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 8.0m2 ,and those in the zx plane have area 8.0m2. An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 39° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.662E+01 N·m2/C
b) 4.028E+01 N·m2/C
c) 4.430E+01 N·m2/C
d) 4.873E+01 N·m2/C
e) 5.361E+01 N·m2/C
4)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.7 m. The other four surfaces are rectangles in y=y0=1.9 m, y=y1=4.3 m, z=z0=1.7 m, and z=z1=5.7 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 4.1m2 ,and those in the zx plane have area 6.8m2. An electric field of magnitude 13 N/C has components in the y and z directions and is directed at 27° 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) 7.876E+01 N·m2/C
b) 8.664E+01 N·m2/C
c) 9.531E+01 N·m2/C
d) 1.048E+02 N·m2/C
e) 1.153E+02 N·m2/C

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

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

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

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

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

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

8) A device requires consumes 88 W of power and requires 11.3 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) 1.467E+06 A/m2
b) 1.614E+06 A/m2
c) 1.775E+06 A/m2
d) 1.953E+06 A/m2
e) 2.148E+06 A/m2
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=18.2 V, and ε2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 kΩ and R2=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.299E+00 mA
b) 1.429E+00 mA
c) 1.572E+00 mA
d) 1.729E+00 mA
e) 1.902E+00 mA

10) 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




T1(5-10) B1[edit]

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

a) 1.368E+01 μC
b) 1.505E+01 μC
c) 1.655E+01 μC
d) 1.820E+01 μC
e) 2.003E+01 μC
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.2 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=4.6 m, z=z0=1.4 m, and z=z1=4.5 m. The surfaces in the yz plane each have area 9.0m2. Those in the xy plane have area 6.4m2 ,and those in the zx plane have area 6.8m2. An electric field of magnitude 15 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) 3.959E+01 N·m2/C
b) 4.354E+01 N·m2/C
c) 4.790E+01 N·m2/C
d) 5.269E+01 N·m2/C
e) 5.796E+01 N·m2/C

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

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

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

a) 6.565E-01 mm
b) 7.550E-01 mm
c) 8.683E-01 mm
d) 9.985E-01 mm
e) 1.148E+00 mm
5)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 3.159E+09 N/C2
b) 3.475E+09 N/C2
c) 3.823E+09 N/C2
d) 4.205E+09 N/C2
e) 4.626E+09 N/C2

6) A given battery has a 13 V emf and an internal resistance of 0.159 Ω. If it is connected to a 0.617 Ω resistor what is the power dissipated by that load?

a) 1.301E+02 W
b) 1.431E+02 W
c) 1.574E+02 W
d) 1.732E+02 W
e) 1.905E+02 W
7)
Kirchhoff loop w external current.svg
Two sources of emf ε1=20.6 V, and ε2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 kΩ and R2=2.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.085E+00 mA
b) 1.194E+00 mA
c) 1.313E+00 mA
d) 1.444E+00 mA
e) 1.589E+00 mA
8)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.8 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.8 m, z=z0=1.1 m, and z=z1=5.2 m. The surfaces in the yz plane each have area 18.0m2. Those in the xy plane have area 12.0m2 ,and those in the zx plane have area 11.0m2. An electric field of magnitude 13 N/C has components in the y and z directions and is directed at 60° 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) 5.606E+01 N·m2/C
b) 6.167E+01 N·m2/C
c) 6.784E+01 N·m2/C
d) 7.462E+01 N·m2/C
e) 8.208E+01 N·m2/C

9) A device requires consumes 168 W of power and requires 11.0 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) 1.901E+06 A/m2
b) 2.091E+06 A/m2
c) 2.300E+06 A/m2
d) 2.530E+06 A/m2
e) 2.783E+06 A/m2

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

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




T1(5-10) B2[edit]

1)
Kirchhoff loop w external current.svg
Two sources of emf ε1=40.6 V, and ε2=13.5 V are oriented as shownin the circuit. The resistances are R1=4.35 kΩ and R2=2.44 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.73 mA and I4=0.78 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.332E+00 mA
b) 1.465E+00 mA
c) 1.612E+00 mA
d) 1.773E+00 mA
e) 1.950E+00 mA

2) A device requires consumes 73 W of power and requires 9.14 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) 1.187E+06 A/m2
b) 1.306E+06 A/m2
c) 1.436E+06 A/m2
d) 1.580E+06 A/m2
e) 1.738E+06 A/m2

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 5.647E+00 V/m2
b) 6.212E+00 V/m2
c) 6.833E+00 V/m2
d) 7.517E+00 V/m2
e) 8.268E+00 V/m2

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

a) 2.764E+01 μC
b) 3.041E+01 μC
c) 3.345E+01 μC
d) 3.679E+01 μC
e) 4.047E+01 μC
5)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 4.788E+09 N/C2
b) 5.267E+09 N/C2
c) 5.793E+09 N/C2
d) 6.373E+09 N/C2
e) 7.010E+09 N/C2
6)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.9 m, y=y1=5.3 m, z=z0=1.4 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 8.2m2 ,and those in the zx plane have area 9.8m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 58° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.270E+01 N·m2/C
b) 6.897E+01 N·m2/C
c) 7.586E+01 N·m2/C
d) 8.345E+01 N·m2/C
e) 9.179E+01 N·m2/C
7)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.1 m. The other four surfaces are rectangles in y=y0=1.1 m, y=y1=5.3 m, z=z0=1.1 m, and z=z1=4.3 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 8.8m2 ,and those in the zx plane have area 6.7m2. An electric field of magnitude 10 N/C has components in the y and z directions and is directed at 39° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.924E+01 N·m2/C
b) 4.316E+01 N·m2/C
c) 4.748E+01 N·m2/C
d) 5.222E+01 N·m2/C
e) 5.745E+01 N·m2/C

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

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

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

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

10) A given battery has a 13 V emf and an internal resistance of 0.159 Ω. If it is connected to a 0.617 Ω resistor what is the power dissipated by that load?

a) 1.301E+02 W
b) 1.431E+02 W
c) 1.574E+02 W
d) 1.732E+02 W
e) 1.905E+02 W




T1(5-10) C0[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) 1.022E+00 V/m2
b) 1.125E+00 V/m2
c) 1.237E+00 V/m2
d) 1.361E+00 V/m2
e) 1.497E+00 V/m2
2)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.6 m. Evaluate at x=0.73 m if a=0.64 m, b=1.8 m. The total charge on the rod is 3 nC.
a) 2.955E+00 V/m2
b) 3.250E+00 V/m2
c) 3.575E+00 V/m2
d) 3.933E+00 V/m2
e) 4.326E+00 V/m2

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=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

4) 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
5)
Four charges at corners of rectangle.svg
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=4 μC, q2=6 μC, q3=8 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 3.819E+01 J
b) 4.201E+01 J
c) 4.621E+01 J
d) 5.083E+01 J
e) 5.591E+01 J

6) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=83 V is x2 + y2 + z2 = R2, where R=

a) 1.378E+00 m
b) 1.516E+00 m
c) 1.668E+00 m
d) 1.834E+00 m
e) 2.018E+00 m
7)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=16.0 μF, C2=2.27 μF, and C3=4.4 μF. The voltage source provides ε=7.11 V. What is the charge on C1?
a) 2.515E+01 μC
b) 2.766E+01 μC
c) 3.043E+01 μC
d) 3.347E+01 μC
e) 3.682E+01 μC

8) 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
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=40.6 V, and ε2=13.5 V are oriented as shownin the circuit. The resistances are R1=4.35 kΩ and R2=2.44 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.73 mA and I4=0.78 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.332E+00 mA
b) 1.465E+00 mA
c) 1.612E+00 mA
d) 1.773E+00 mA
e) 1.950E+00 mA
10)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.54 Ω, R2= 0.927 Ω, and R2= 2.46 Ω. V1 and V3 are text 0.632 V and 2.12 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.586 V. What is the absolute value of the current through R1?
a) 1.770E-01 A
b) 1.947E-01 A
c) 2.141E-01 A
d) 2.355E-01 A
e) 2.591E-01 A




T1(5-10) C1[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)
Four charges at corners of rectangle.svg
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=3 μC, q2=5 μC, q3=7 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.998E+01 J
b) 6.598E+01 J
c) 7.257E+01 J
d) 7.983E+01 J
e) 8.781E+01 J

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=6), and (x=7, y=6), where x and y are measured in meters. The electric field is,

a) 3.337E+03 V·m
b) 3.670E+03 V·m
c) 4.037E+03 V·m
d) 4.441E+03 V·m
e) 4.885E+03 V·m
4)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.73 Ω, R2= 1.4 Ω, and R2= 2.35 Ω. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.584 V. What is the absolute value of the current through R1?
a) 1.213E-01 A
b) 1.334E-01 A
c) 1.468E-01 A
d) 1.614E-01 A
e) 1.776E-01 A
5)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.83 m if a=0.7 m, b=1.8 m. The total charge on the rod is 9 nC.
a) 6.897E+00 V/m2
b) 7.587E+00 V/m2
c) 8.345E+00 V/m2
d) 9.180E+00 V/m2
e) 1.010E+01 V/m2

6)  
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) 3.228E+00 V/m2
b) 3.551E+00 V/m2
c) 3.906E+00 V/m2
d) 4.297E+00 V/m2
e) 4.727E+00 V/m2
7)
Kirchhoff loop w external current.svg
Two sources of emf ε1=24.9 V, and ε2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.32 kΩ and R2=2.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.74 mA and I4=0.444 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.725E+00 mA
b) 1.898E+00 mA
c) 2.087E+00 mA
d) 2.296E+00 mA
e) 2.526E+00 mA
8)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=17.1 μF, C2=2.87 μF, and C3=4.74 μF. The voltage source provides ε=6.63 V. What is the charge on C1?
a) 2.385E+01 μC
b) 2.623E+01 μC
c) 2.886E+01 μC
d) 3.174E+01 μC
e) 3.492E+01 μC

9) 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

10) If a 18 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=12 V is x2 + y2 + z2 = R2, where R=

a) 1.114E+01 m
b) 1.226E+01 m
c) 1.348E+01 m
d) 1.483E+01 m
e) 1.631E+01 m




T1(5-10) C2[edit]

1) 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

2) If a 18 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=12 V is x2 + y2 + z2 = R2, where R=

a) 1.114E+01 m
b) 1.226E+01 m
c) 1.348E+01 m
d) 1.483E+01 m
e) 1.631E+01 m
3)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate at x=0.52 m if a=0.88 m, b=1.3 m. The total charge on the rod is 6 nC.
a) 6.804E+00 V/m2
b) 7.485E+00 V/m2
c) 8.233E+00 V/m2
d) 9.056E+00 V/m2
e) 9.962E+00 V/m2
4)
Kirchhoff loop w external current.svg
Two sources of emf ε1=18.2 V, and ε2=6.59 V are oriented as shownin the circuit. The resistances are R1=5.47 kΩ and R2=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.64 mA and I4=0.341 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.299E+00 mA
b) 1.429E+00 mA
c) 1.572E+00 mA
d) 1.729E+00 mA
e) 1.902E+00 mA
5)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.1 Ω, R2= 1.55 Ω, and R2= 2.11 Ω. V1 and V3 are text 0.545 V and 3.22 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.744 V. What is the absolute value of the current through R1?
a) 1.886E-01 A
b) 2.075E-01 A
c) 2.282E-01 A
d) 2.510E-01 A
e) 2.761E-01 A

6)  
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) 4.295E+00 V/m2
b) 4.724E+00 V/m2
c) 5.196E+00 V/m2
d) 5.716E+00 V/m2
e) 6.288E+00 V/m2
7)
Four charges at corners of rectangle.svg
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.178E+01 J
b) 5.696E+01 J
c) 6.266E+01 J
d) 6.892E+01 J
e) 7.582E+01 J

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=6, y=0), (x=0, y=5), and (x=6, y=5), where x and y are measured in meters. The electric field is,

a) 2.067E+03 V·m
b) 2.274E+03 V·m
c) 2.501E+03 V·m
d) 2.752E+03 V·m
e) 3.027E+03 V·m
9)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=19.9 μF, C2=2.25 μF, and C3=4.75 μF. The voltage source provides ε=6.93 V. What is the charge on C1?
a) 2.451E+01 μC
b) 2.696E+01 μC
c) 2.966E+01 μC
d) 3.262E+01 μC
e) 3.589E+01 μC

10) Imagine a substance could be made into a very hot filament. Suppose the resitance is 2.89 Ω at a temperature of 89°C and that the temperature coefficient of expansion is 5.340E-03 (°C)−1). What is the resistance at a temperature of 566 °C?

a) 9.763E+00 Ω
b) 1.025E+01 Ω
c) 1.076E+01 Ω
d) 1.130E+01 Ω
e) 1.187E+01 Ω




T1(5-10) D0[edit]

1)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.4 m. Evaluate at x=1.1 m if a=0.69 m, b=2.2 m. The total charge on the rod is 6 nC.
a) 3.161E+00 V/m2
b) 3.477E+00 V/m2
c) 3.825E+00 V/m2
d) 4.208E+00 V/m2
e) 4.628E+00 V/m2
2)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?
a) 2.013E+09 N/C2
b) 2.214E+09 N/C2
c) 2.435E+09 N/C2
d) 2.679E+09 N/C2
e) 2.947E+09 N/C2
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.8 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=5.0 m, z=z0=1.6 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 6.5m2 ,and those in the zx plane have area 7.7m2. An electric field has the xyz components (0, 8.0, 9.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.192E+01 N·m2/C
b) 6.811E+01 N·m2/C
c) 7.492E+01 N·m2/C
d) 8.242E+01 N·m2/C
e) 9.066E+01 N·m2/C

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

a) 1.457E+02 N/C
b) 1.603E+02 N/C
c) 1.763E+02 N/C
d) 1.939E+02 N/C
e) 2.133E+02 N/C

5) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=83 V is x2 + y2 + z2 = R2, where R=

a) 1.378E+00 m
b) 1.516E+00 m
c) 1.668E+00 m
d) 1.834E+00 m
e) 2.018E+00 m

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

a) 1.190E+05 J
b) 1.309E+05 J
c) 1.440E+05 J
d) 1.584E+05 J
e) 1.742E+05 J

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

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

8) What is consumer cost to operate one 115−W incandescent bulb for 12 hours per day for 1 year (365 days) if the cost of electricity is $0.128 per kilowatt-hour?

a) $5.328E+01
b) $5.861E+01
c) $6.447E+01
d) $7.092E+01
e) $7.801E+01
9)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.42 Ω, R2= 1.09 Ω, and R2= 3.89 Ω. V1 and V3 are text 0.677 V and 1.86 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.745 V. What is the absolute value of the current through R1?
a) 2.089E-01 A
b) 2.298E-01 A
c) 2.528E-01 A
d) 2.781E-01 A
e) 3.059E-01 A

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




T1(5-10) D1[edit]

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

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

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

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

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

a) 2.299E+00 m
b) 2.529E+00 m
c) 2.782E+00 m
d) 3.060E+00 m
e) 3.366E+00 m
4)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.4 m (on axis) away from the loop's center?
a) 7.119E+09 N/C2
b) 7.831E+09 N/C2
c) 8.614E+09 N/C2
d) 9.476E+09 N/C2
e) 1.042E+10 N/C2

5) A given battery has a 9 V emf and an internal resistance of 0.16 Ω. If it is connected to a 0.45 Ω resistor what is the power dissipated by that load?

a) 6.691E+01 W
b) 7.360E+01 W
c) 8.096E+01 W
d) 8.905E+01 W
e) 9.796E+01 W

6) A non-conducting sphere of radius R=3.9 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.4 (r≤R) where a=2 nC·m-1.6. What is the magnitude of the electric field at a distance of 2.6 m from the center?

a) 3.821E+02 N/C
b) 4.203E+02 N/C
c) 4.624E+02 N/C
d) 5.086E+02 N/C
e) 5.594E+02 N/C
7)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.6 m. Evaluate at x=0.73 m if a=0.64 m, b=1.8 m. The total charge on the rod is 3 nC.
a) 2.955E+00 V/m2
b) 3.250E+00 V/m2
c) 3.575E+00 V/m2
d) 3.933E+00 V/m2
e) 4.326E+00 V/m2
8)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.8 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=4.2 m, z=z0=1.9 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 10.0m2. Those in the xy plane have area 8.1m2 ,and those in the zx plane have area 10.0m2. An electric field has the xyz components (0, 8.5, 6.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 7.081E+01 N·m2/C
b) 7.789E+01 N·m2/C
c) 8.568E+01 N·m2/C
d) 9.425E+01 N·m2/C
e) 1.037E+02 N·m2/C

9) 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
10)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.41 Ω, R2= 1.74 Ω, and R2= 3.35 Ω. V1 and V3 are text 0.508 V and 1.36 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.595 V. What is the absolute value of the current through R1?
a) 1.203E-01 A
b) 1.324E-01 A
c) 1.456E-01 A
d) 1.602E-01 A
e) 1.762E-01 A




T1(5-10) D2[edit]

1) An empty parallel-plate capacitor with metal plates has an area of 2.21 m2, separated by 1.25 mm. How much charge does it store if the voltage is 1.580E+03 V?

a) 2.249E+01 μC
b) 2.473E+01 μC
c) 2.721E+01 μC
d) 2.993E+01 μC
e) 3.292E+01 μC
2)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.3 m (on axis) away from the loop's center?
a) 4.788E+09 N/C2
b) 5.267E+09 N/C2
c) 5.793E+09 N/C2
d) 6.373E+09 N/C2
e) 7.010E+09 N/C2
3)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.81 Ω, R2= 1.18 Ω, and R2= 2.62 Ω. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.748 V. What is the absolute value of the current through R1?
a) 1.552E-01 A
b) 1.707E-01 A
c) 1.878E-01 A
d) 2.065E-01 A
e) 2.272E-01 A

4) A given battery has a 9 V emf and an internal resistance of 0.141 Ω. If it is connected to a 0.663 Ω resistor what is the power dissipated by that load?

a) 5.674E+01 W
b) 6.242E+01 W
c) 6.866E+01 W
d) 7.553E+01 W
e) 8.308E+01 W
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.4 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=5.6 m, z=z0=1.7 m, and z=z1=4.5 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 6.0m2 ,and those in the zx plane have area 3.9m2. An electric field has the xyz components (0, 6.5, 9.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.740E+01 N·m2/C
b) 1.914E+01 N·m2/C
c) 2.106E+01 N·m2/C
d) 2.316E+01 N·m2/C
e) 2.548E+01 N·m2/C

6) A 12.0 V battery can move 44,000 C of charge. How many Joules does it deliver?

a) 4.800E+05 J
b) 5.280E+05 J
c) 5.808E+05 J
d) 6.389E+05 J
e) 7.028E+05 J

7) If a 13 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=84 V is x2 + y2 + z2 = R2, where R=

a) 1.391E+00 m
b) 1.530E+00 m
c) 1.683E+00 m
d) 1.851E+00 m
e) 2.036E+00 m

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

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

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




T1(5-10) E0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.357E+01 degrees
b) 4.793E+01 degrees
c) 5.272E+01 degrees
d) 5.799E+01 degrees
e) 6.379E+01 degrees
2)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate at x=0.76 m if a=1.1 m, b=1.6 m. The total charge on the rod is 8 nC.
a) 5.267E+00 V/m2
b) 5.794E+00 V/m2
c) 6.374E+00 V/m2
d) 7.011E+00 V/m2
e) 7.712E+00 V/m2

3) 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
4)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.4 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.8 m, z=z0=1.2 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 17.0m2. Those in the xy plane have area 6.4m2 ,and those in the zx plane have area 5.3m2. An electric field of magnitude 5 N/C has components in the y and z directions and is directed at 25° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.992E+01 N·m2/C
b) 2.192E+01 N·m2/C
c) 2.411E+01 N·m2/C
d) 2.652E+01 N·m2/C
e) 2.917E+01 N·m2/C
5)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.39 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.56 cm, y=2.19 cm)? Note that following the textbook's example, the y-value of the field point at 2.19 cm matches the disance of the positive charge above the x-axis.
a) 3.852E+02 V
b) 4.238E+02 V
c) 4.661E+02 V
d) 5.127E+02 V
e) 5.640E+02 V

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

a) 4.466E+06 m/s
b) 4.912E+06 m/s
c) 5.403E+06 m/s
d) 5.944E+06 m/s
e) 6.538E+06 m/s
7)
Three cappies openstax example.svg
What is the net capacitance if C1=4.13 μF, C2=3.56 μF, and C3=3.57 μF in the configuration shown?
a) 5.482E+00 μF
b) 6.030E+00 μF
c) 6.633E+00 μF
d) 7.296E+00 μF
e) 8.026E+00 μF

8) A DC winch moter draws 26 amps at 153 volts as it lifts a 4.100E+03 N weight at a constant speed of 0.609 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) 2.191E+00 Ω
b) 2.410E+00 Ω
c) 2.651E+00 Ω
d) 2.916E+00 Ω
e) 3.208E+00 Ω
9)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.54 Ω, R2= 0.927 Ω, and R2= 2.46 Ω. V1 and V3 are text 0.632 V and 2.12 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.586 V. What is the absolute value of the current through R1?
a) 1.770E-01 A
b) 1.947E-01 A
c) 2.141E-01 A
d) 2.355E-01 A
e) 2.591E-01 A
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=67.2 V, and ε2=18.7 V are oriented as shownin the circuit. The resistances are R1=3.45 kΩ and R2=1.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=9.49 mA and I4=1.81 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 1.906E+01 V
b) 2.097E+01 V
c) 2.306E+01 V
d) 2.537E+01 V
e) 2.790E+01 V




T1(5-10) E1[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.743E+01 degrees
b) 5.217E+01 degrees
c) 5.739E+01 degrees
d) 6.313E+01 degrees
e) 6.944E+01 degrees
2)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.38 Ω, R2= 1.87 Ω, and R2= 2.32 Ω. V1 and V3 are text 0.605 V and 3.8 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.67 V. What is the absolute value of the current through R1?
a) 8.147E-02 A
b) 8.962E-02 A
c) 9.858E-02 A
d) 1.084E-01 A
e) 1.193E-01 A
3)
Three cappies openstax example.svg
What is the net capacitance if C1=4.55 μF, C2=4.39 μF, and C3=3.32 μF in the configuration shown?
a) 4.173E+00 μF
b) 4.590E+00 μF
c) 5.049E+00 μF
d) 5.554E+00 μF
e) 6.110E+00 μF
4)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate at x=1.0 m if a=1.0 m, b=1.8 m. The total charge on the rod is 6 nC.
a) 3.610E+00 V/m2
b) 3.971E+00 V/m2
c) 4.368E+00 V/m2
d) 4.804E+00 V/m2
e) 5.285E+00 V/m2
5)
Kirchhoff loop w external current.svg
Two sources of emf ε1=42.2 V, and ε2=17.8 V are oriented as shownin the circuit. The resistances are R1=4.2 kΩ and R2=2.83 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.5 mA and I4=0.749 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 1.056E+01 V
b) 1.161E+01 V
c) 1.277E+01 V
d) 1.405E+01 V
e) 1.545E+01 V

6) 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
7)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.29 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.33 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
a) 4.324E+02 V
b) 4.757E+02 V
c) 5.232E+02 V
d) 5.755E+02 V
e) 6.331E+02 V

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

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

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




T1(5-10) E2[edit]

1)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=8 nC and a separation distance of d=3.55 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.43 cm, y=1.77 cm)? Note that following the textbook's example, the y-value of the field point at 1.77 cm matches the disance of the positive charge above the x-axis.
a) 5.796E+02 V
b) 6.375E+02 V
c) 7.013E+02 V
d) 7.714E+02 V
e) 8.486E+02 V
2)
Kirchhoff loop w external current.svg
Two sources of emf ε1=27.9 V, and ε2=11.1 V are oriented as shownin the circuit. The resistances are R1=2.82 kΩ and R2=2.25 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.1 mA and I4=0.676 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 8.334E+00 V
b) 9.167E+00 V
c) 1.008E+01 V
d) 1.109E+01 V
e) 1.220E+01 V
3)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate at x=0.76 m if a=1.1 m, b=1.6 m. The total charge on the rod is 8 nC.
a) 5.267E+00 V/m2
b) 5.794E+00 V/m2
c) 6.374E+00 V/m2
d) 7.011E+00 V/m2
e) 7.712E+00 V/m2

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

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

5) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.7 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.4 m from the center of the shells?

a) 1.491E+01 N/C
b) 1.640E+01 N/C
c) 1.804E+01 N/C
d) 1.984E+01 N/C
e) 2.182E+01 N/C
6)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.57 Ω, R2= 1.25 Ω, and R2= 3.38 Ω. V1 and V3 are text 0.585 V and 2.91 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.55 V. What is the absolute value of the current through R1?
a) 1.427E-01 A
b) 1.569E-01 A
c) 1.726E-01 A
d) 1.899E-01 A
e) 2.089E-01 A
7)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.1 m. The other four surfaces are rectangles in y=y0=1.1 m, y=y1=5.3 m, z=z0=1.1 m, and z=z1=4.3 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 8.8m2 ,and those in the zx plane have area 6.7m2. An electric field of magnitude 10 N/C has components in the y and z directions and is directed at 39° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.924E+01 N·m2/C
b) 4.316E+01 N·m2/C
c) 4.748E+01 N·m2/C
d) 5.222E+01 N·m2/C
e) 5.745E+01 N·m2/C
8)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.091E+01 degrees
b) 4.500E+01 degrees
c) 4.950E+01 degrees
d) 5.445E+01 degrees
e) 5.990E+01 degrees

9) 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
10)
Three cappies openstax example.svg
What is the net capacitance if C1=3.54 μF, C2=3.53 μF, and C3=3.65 μF in the configuration shown?
a) 3.700E+00 μF
b) 4.070E+00 μF
c) 4.477E+00 μF
d) 4.925E+00 μF
e) 5.417E+00 μF




T1(5-10) F0[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) 8.253E-01 V/m2
b) 9.079E-01 V/m2
c) 9.987E-01 V/m2
d) 1.099E+00 V/m2
e) 1.208E+00 V/m2
2)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.35 m (on axis) away from the loop's center?
a) 4.142E+09 N/C2
b) 4.556E+09 N/C2
c) 5.012E+09 N/C2
d) 5.513E+09 N/C2
e) 6.064E+09 N/C2

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

a) 2.274E+02 N/C
b) 2.501E+02 N/C
c) 2.751E+02 N/C
d) 3.026E+02 N/C
e) 3.329E+02 N/C
4)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.5 m, z=z0=1.7 m, and z=z1=5.1 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 9.9m2 ,and those in the zx plane have area 7.8m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 58° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.698E+01 N·m2/C
b) 1.868E+01 N·m2/C
c) 2.055E+01 N·m2/C
d) 2.260E+01 N·m2/C
e) 2.486E+01 N·m2/C
5)
Bandgenerator cropped.svg
A Van de Graff generator has a 149 cm diameter metal sphere that produces 172 kV near its surface. What is the excess charge on the sphere?
a) 1.071E+01 μC
b) 1.178E+01 μC
c) 1.296E+01 μC
d) 1.426E+01 μC
e) 1.568E+01 μC

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

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

7) An empty parallel-plate capacitor with metal plates has an area of 2.83 m2, separated by 1.14 mm. How much charge does it store if the voltage is 4.180E+03 V?

a) 6.275E+01 μC
b) 6.903E+01 μC
c) 7.593E+01 μC
d) 8.352E+01 μC
e) 9.188E+01 μC

8) A device requires consumes 73 W of power and requires 9.14 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) 1.187E+06 A/m2
b) 1.306E+06 A/m2
c) 1.436E+06 A/m2
d) 1.580E+06 A/m2
e) 1.738E+06 A/m2
9)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.04 Ω, R2= 1.19 Ω, and R2= 2.5 Ω. V1 and V3 are text 0.507 V and 3.07 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.602 V. What is the absolute value of the current through R1?
a) 1.401E-01 A
b) 1.542E-01 A
c) 1.696E-01 A
d) 1.865E-01 A
e) 2.052E-01 A
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=67.2 V, and ε2=18.7 V are oriented as shownin the circuit. The resistances are R1=3.45 kΩ and R2=1.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=9.49 mA and I4=1.81 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 1.906E+01 V
b) 2.097E+01 V
c) 2.306E+01 V
d) 2.537E+01 V
e) 2.790E+01 V




T1(5-10) F1[edit]

1)
Bandgenerator cropped.svg
A Van de Graff generator has a 107 cm diameter metal sphere that produces 219 kV near its surface. What is the excess charge on the sphere?
a) 1.304E+01 μC
b) 1.434E+01 μC
c) 1.577E+01 μC
d) 1.735E+01 μC
e) 1.909E+01 μC

2) 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

3)  
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) 4.295E+00 V/m2
b) 4.724E+00 V/m2
c) 5.196E+00 V/m2
d) 5.716E+00 V/m2
e) 6.288E+00 V/m2
4)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.5 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.9 m, z=z0=1.1 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 5.3m2 ,and those in the zx plane have area 5.0m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 29° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 7.793E+01 N·m2/C
b) 8.572E+01 N·m2/C
c) 9.429E+01 N·m2/C
d) 1.037E+02 N·m2/C
e) 1.141E+02 N·m2/C

5) A device requires consumes 168 W of power and requires 11.0 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) 1.901E+06 A/m2
b) 2.091E+06 A/m2
c) 2.300E+06 A/m2
d) 2.530E+06 A/m2
e) 2.783E+06 A/m2

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

a) 2.039E+01 N/C
b) 2.243E+01 N/C
c) 2.467E+01 N/C
d) 2.714E+01 N/C
e) 2.985E+01 N/C
7)
Kirchhoff loop w external current.svg
Two sources of emf ε1=40.9 V, and ε2=16.1 V are oriented as shownin the circuit. The resistances are R1=5.55 kΩ and R2=1.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=6.11 mA and I4=1.06 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 8.754E+00 V
b) 9.630E+00 V
c) 1.059E+01 V
d) 1.165E+01 V
e) 1.282E+01 V
8)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 3.159E+09 N/C2
b) 3.475E+09 N/C2
c) 3.823E+09 N/C2
d) 4.205E+09 N/C2
e) 4.626E+09 N/C2
9)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.1 Ω, R2= 1.55 Ω, and R2= 2.11 Ω. V1 and V3 are text 0.545 V and 3.22 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.744 V. What is the absolute value of the current through R1?
a) 1.886E-01 A
b) 2.075E-01 A
c) 2.282E-01 A
d) 2.510E-01 A
e) 2.761E-01 A

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

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




T1(5-10) F2[edit]

1) A device requires consumes 196 W of power and requires 2.4 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) 4.563E+05 A/m2
b) 5.019E+05 A/m2
c) 5.521E+05 A/m2
d) 6.073E+05 A/m2
e) 6.680E+05 A/m2
2)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.73 m (on axis) away from the loop's center?
a) 7.415E+09 N/C2
b) 8.156E+09 N/C2
c) 8.972E+09 N/C2
d) 9.869E+09 N/C2
e) 1.086E+10 N/C2
3)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.81 Ω, R2= 1.18 Ω, and R2= 2.62 Ω. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.748 V. What is the absolute value of the current through R1?
a) 1.552E-01 A
b) 1.707E-01 A
c) 1.878E-01 A
d) 2.065E-01 A
e) 2.272E-01 A
4)
Bandgenerator cropped.svg
A Van de Graff generator has a 85 cm diameter metal sphere that produces 235 kV near its surface. What is the excess charge on the sphere?
a) 9.184E+00 μC
b) 1.010E+01 μC
c) 1.111E+01 μC
d) 1.222E+01 μC
e) 1.345E+01 μC

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

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

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

a) 2.777E+02 N/C
b) 3.055E+02 N/C
c) 3.361E+02 N/C
d) 3.697E+02 N/C
e) 4.066E+02 N/C
7)
Kirchhoff loop w external current.svg
Two sources of emf ε1=17.3 V, and ε2=6.46 V are oriented as shownin the circuit. The resistances are R1=2.54 kΩ and R2=2.79 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.1 mA and I4=0.281 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 6.488E+00 V
b) 7.137E+00 V
c) 7.850E+00 V
d) 8.635E+00 V
e) 9.499E+00 V

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

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

9)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 1.258E+00 V/m2
b) 1.384E+00 V/m2
c) 1.522E+00 V/m2
d) 1.674E+00 V/m2
e) 1.842E+00 V/m2
10)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.4 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.8 m, z=z0=1.2 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 17.0m2. Those in the xy plane have area 6.4m2 ,and those in the zx plane have area 5.3m2. An electric field of magnitude 5 N/C has components in the y and z directions and is directed at 25° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.992E+01 N·m2/C
b) 2.192E+01 N·m2/C
c) 2.411E+01 N·m2/C
d) 2.652E+01 N·m2/C
e) 2.917E+01 N·m2/C




T1(5-10) G0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 8.613E-15 N
b) 9.474E-15 N
c) 1.042E-14 N
d) 1.146E-14 N
e) 1.261E-14 N
2)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.5 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.33 m (on axis) away from the loop's center?
a) 1.353E+09 N/C2
b) 1.488E+09 N/C2
c) 1.637E+09 N/C2
d) 1.801E+09 N/C2
e) 1.981E+09 N/C2

3) A non-conducting sphere of radius R=3.7 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.4 (r≤R) where a=2 nC·m-1.6. What is the magnitude of the electric field at a distance of 3.1 m from the center?

a) 6.411E+02 N/C
b) 7.052E+02 N/C
c) 7.757E+02 N/C
d) 8.533E+02 N/C
e) 9.386E+02 N/C
4)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=5.2 m, z=z0=1.6 m, and z=z1=4.7 m. The surfaces in the yz plane each have area 11.0m2. Those in the xy plane have area 4.7m2 ,and those in the zx plane have area 4.0m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 43° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.214E+01 N·m2/C
b) 2.436E+01 N·m2/C
c) 2.679E+01 N·m2/C
d) 2.947E+01 N·m2/C
e) 3.242E+01 N·m2/C

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

a) 2.408E-06 J
b) 2.649E-06 J
c) 2.914E-06 J
d) 3.205E-06 J
e) 3.526E-06 J
6)
Bandgenerator cropped.svg
A Van de Graff generator has a 72 cm diameter metal sphere that produces 285 kV near its surface. What is the excess charge on the sphere?
a) 1.038E+01 μC
b) 1.142E+01 μC
c) 1.256E+01 μC
d) 1.381E+01 μC
e) 1.519E+01 μC
7)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=16.9 μF, C2=2.86 μF, and C3=5.1 μF. The voltage source provides ε=9.98 V. What is the energy stored in C2?
a) 1.764E+01 μJ
b) 1.940E+01 μJ
c) 2.134E+01 μJ
d) 2.348E+01 μJ
e) 2.583E+01 μJ

8) What is the average current involved when a truck battery sets in motion 738 C of charge in 3.87 s while starting an engine?

a) 1.907E+02 A
b) 2.098E+02 A
c) 2.307E+02 A
d) 2.538E+02 A
e) 2.792E+02 A
9)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=15.8 V, R1=1.86 Ω, R2=7.66 Ω, and R3=12.9 Ω. What is the power dissipated by R2?
a) 1.157E+01 W
b) 1.273E+01 W
c) 1.400E+01 W
d) 1.540E+01 W
e) 1.694E+01 W
10)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.33 Ω, R2= 1.72 Ω, and R2= 3.69 Ω. V1 and V3 are text 0.606 V and 3.31 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.608 V. What is the absolute value of the current through R1?
a) 1.137E-01 A
b) 1.251E-01 A
c) 1.376E-01 A
d) 1.514E-01 A
e) 1.665E-01 A




T1(5-10) G1[edit]

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

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

2) A 4 C charge is separated from a 9 C charge by distance of 9 cm. What is the work done by increasing this separation to 14 cm?

a) 8.769E-07 J
b) 9.646E-07 J
c) 1.061E-06 J
d) 1.167E-06 J
e) 1.284E-06 J
3)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 8.336E+09 N/C2
b) 9.170E+09 N/C2
c) 1.009E+10 N/C2
d) 1.110E+10 N/C2
e) 1.220E+10 N/C2

4) 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
5)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.248E-14 N
b) 2.473E-14 N
c) 2.721E-14 N
d) 2.993E-14 N
e) 3.292E-14 N
6)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=15.4 V, R1=2.55 Ω, R2=5.12 Ω, and R3=12.7 Ω. What is the power dissipated by R2?
a) 1.096E+01 W
b) 1.206E+01 W
c) 1.326E+01 W
d) 1.459E+01 W
e) 1.605E+01 W
7)
Bandgenerator cropped.svg
A Van de Graff generator has a 114 cm diameter metal sphere that produces 275 kV near its surface. What is the excess charge on the sphere?
a) 1.744E+01 μC
b) 1.918E+01 μC
c) 2.110E+01 μC
d) 2.321E+01 μC
e) 2.554E+01 μC
8)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.41 Ω, R2= 1.74 Ω, and R2= 3.35 Ω. V1 and V3 are text 0.508 V and 1.36 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.595 V. What is the absolute value of the current through R1?
a) 1.203E-01 A
b) 1.324E-01 A
c) 1.456E-01 A
d) 1.602E-01 A
e) 1.762E-01 A
9)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.4 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=4.2 m, z=z0=1.1 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 3.6m2 ,and those in the zx plane have area 6.7m2. An electric field of magnitude 16 N/C has components in the y and z directions and is directed at 53° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.420E+01 N·m2/C
b) 4.862E+01 N·m2/C
c) 5.348E+01 N·m2/C
d) 5.882E+01 N·m2/C
e) 6.471E+01 N·m2/C
10)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=17.6 μF, C2=2.12 μF, and C3=4.72 μF. The voltage source provides ε=5.35 V. What is the energy stored in C2?
a) 6.750E+00 μJ
b) 7.425E+00 μJ
c) 8.168E+00 μJ
d) 8.984E+00 μJ
e) 9.883E+00 μJ




T1(5-10) G2[edit]

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

a) 2.408E-06 J
b) 2.649E-06 J
c) 2.914E-06 J
d) 3.205E-06 J
e) 3.526E-06 J
2)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 9.750E-15 N
b) 1.072E-14 N
c) 1.180E-14 N
d) 1.298E-14 N
e) 1.427E-14 N
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.1 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.6 m, z=z0=1.8 m, and z=z1=4.2 m. The surfaces in the yz plane each have area 9.4m2. Those in the xy plane have area 8.2m2 ,and those in the zx plane have area 5.0m2. An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 29° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.186E+01 N·m2/C
b) 2.404E+01 N·m2/C
c) 2.645E+01 N·m2/C
d) 2.909E+01 N·m2/C
e) 3.200E+01 N·m2/C
4)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=19.2 μF, C2=2.24 μF, and C3=4.93 μF. The voltage source provides ε=11.7 V. What is the energy stored in C2?
a) 1.303E+01 μJ
b) 1.434E+01 μJ
c) 1.577E+01 μJ
d) 1.735E+01 μJ
e) 1.908E+01 μJ

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

a) 2.039E+01 N/C
b) 2.243E+01 N/C
c) 2.467E+01 N/C
d) 2.714E+01 N/C
e) 2.985E+01 N/C
6)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.54 Ω, R2= 0.927 Ω, and R2= 2.46 Ω. V1 and V3 are text 0.632 V and 2.12 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.586 V. What is the absolute value of the current through R1?
a) 1.770E-01 A
b) 1.947E-01 A
c) 2.141E-01 A
d) 2.355E-01 A
e) 2.591E-01 A
7)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?
a) 2.013E+09 N/C2
b) 2.214E+09 N/C2
c) 2.435E+09 N/C2
d) 2.679E+09 N/C2
e) 2.947E+09 N/C2
8)
Bandgenerator cropped.svg
A Van de Graff generator has a 140 cm diameter metal sphere that produces 244 kV near its surface. What is the excess charge on the sphere?
a) 1.900E+01 μC
b) 2.090E+01 μC
c) 2.299E+01 μC
d) 2.529E+01 μC
e) 2.782E+01 μC

9) What is the average current involved when a truck battery sets in motion 701 C of charge in 4.98 s while starting an engine?

a) 1.280E+02 A
b) 1.408E+02 A
c) 1.548E+02 A
d) 1.703E+02 A
e) 1.874E+02 A
10)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=17.5 V, R1=2.34 Ω, R2=7.1 Ω, and R3=15.3 Ω. What is the power dissipated by R2?
a) 1.784E+01 W
b) 1.963E+01 W
c) 2.159E+01 W
d) 2.375E+01 W
e) 2.612E+01 W




T1(5-10) H0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.544E-14 N
b) 2.798E-14 N
c) 3.078E-14 N
d) 3.385E-14 N
e) 3.724E-14 N

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

a) 1.694E+02 N/C
b) 1.864E+02 N/C
c) 2.050E+02 N/C
d) 2.255E+02 N/C
e) 2.480E+02 N/C

3) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 1.2 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.8 m from the center of the shells?

a) 1.096E+00 N/C
b) 1.206E+00 N/C
c) 1.327E+00 N/C
d) 1.459E+00 N/C
e) 1.605E+00 N/C
4)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=4.6 m, z=z0=1.6 m, and z=z1=5.8 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 7.1m2 ,and those in the zx plane have area 9.7m2. An electric field of magnitude 17 N/C has components in the y and z directions and is directed at 43° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 8.415E+01 N·m2/C
b) 9.256E+01 N·m2/C
c) 1.018E+02 N·m2/C
d) 1.120E+02 N·m2/C
e) 1.232E+02 N·m2/C

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

a) 1.698E+06 m/s
b) 1.868E+06 m/s
c) 2.055E+06 m/s
d) 2.260E+06 m/s
e) 2.486E+06 m/s
6)
Electron Gun with Wehnelt Cylinder.svg
An electron gun has parallel plates separated by 4.85 cm and gives electrons 36 keV of energy. What force would the field between the plates exert on a 0.663 μC charge that gets between the plates?
a) 3.697E-01 N
b) 4.067E-01 N
c) 4.474E-01 N
d) 4.921E-01 N
e) 5.413E-01 N
7)
Three cappies openstax example.svg
What is the net capacitance if C1=3.06 μF, C2=3.09 μF, and C3=2.48 μF in the configuration shown?
a) 3.018E+00 μF
b) 3.320E+00 μF
c) 3.652E+00 μF
d) 4.017E+00 μF
e) 4.419E+00 μF

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

a) 4.591E+02 A
b) 5.050E+02 A
c) 5.555E+02 A
d) 6.111E+02 A
e) 6.722E+02 A
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=29.5 V, and ε2=11.0 V are oriented as shownin the circuit. The resistances are R1=2.45 kΩ and R2=1.96 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.03 mA and I4=0.783 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 2.247E+00 mA
b) 2.472E+00 mA
c) 2.719E+00 mA
d) 2.991E+00 mA
e) 3.290E+00 mA
10)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.81 Ω, R2= 1.18 Ω, and R2= 2.62 Ω. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.748 V. What is the absolute value of the current through R1?
a) 1.552E-01 A
b) 1.707E-01 A
c) 1.878E-01 A
d) 2.065E-01 A
e) 2.272E-01 A




T1(5-10) H1[edit]

1) 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
2)
Three cappies openstax example.svg
What is the net capacitance if C1=3.97 μF, C2=3.51 μF, and C3=2.18 μF in the configuration shown?
a) 3.038E+00 μF
b) 3.341E+00 μF
c) 3.675E+00 μF
d) 4.043E+00 μF
e) 4.447E+00 μF
3)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.54 Ω, R2= 0.927 Ω, and R2= 2.46 Ω. V1 and V3 are text 0.632 V and 2.12 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.586 V. What is the absolute value of the current through R1?
a) 1.770E-01 A
b) 1.947E-01 A
c) 2.141E-01 A
d) 2.355E-01 A
e) 2.591E-01 A
4)
Electron Gun with Wehnelt Cylinder.svg
An electron gun has parallel plates separated by 5.31 cm and gives electrons 41 keV of energy. What force would the field between the plates exert on a 0.368 μC charge that gets between the plates?
a) 2.348E-01 N
b) 2.583E-01 N
c) 2.841E-01 N
d) 3.126E-01 N
e) 3.438E-01 N
5)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.036E-14 N
b) 2.240E-14 N
c) 2.464E-14 N
d) 2.710E-14 N
e) 2.981E-14 N
6)
Kirchhoff loop w external current.svg
Two sources of emf ε1=13.6 V, and ε2=6.53 V are oriented as shownin the circuit. The resistances are R1=2.89 kΩ and R2=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.11 mA and I4=0.311 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 7.264E-01 mA
b) 7.990E-01 mA
c) 8.789E-01 mA
d) 9.668E-01 mA
e) 1.063E+00 mA

7) 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

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

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

9) The charge passing a plane intersecting a wire is , where =42 C and 0.0166 s. What is the current at 0.0156 s?

a) 9.886E+02 A
b) 1.087E+03 A
c) 1.196E+03 A
d) 1.316E+03 A
e) 1.447E+03 A
10)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.5 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.9 m, z=z0=1.1 m, and z=z1=5.3 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 8.8m2 ,and those in the zx plane have area 10.0m2. An electric field of magnitude 9 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) 5.439E+01 N·m2/C
b) 5.983E+01 N·m2/C
c) 6.581E+01 N·m2/C
d) 7.239E+01 N·m2/C
e) 7.963E+01 N·m2/C




T1(5-10) H2[edit]

1) 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
2)
Electron Gun with Wehnelt Cylinder.svg
An electron gun has parallel plates separated by 4.25 cm and gives electrons 15 keV of energy. What force would the field between the plates exert on a 0.518 μC charge that gets between the plates?
a) 1.374E-01 N
b) 1.511E-01 N
c) 1.662E-01 N
d) 1.828E-01 N
e) 2.011E-01 N
3)
Kirchhoff loop w external current.svg
Two sources of emf ε1=40.3 V, and ε2=16.8 V are oriented as shownin the circuit. The resistances are R1=2.57 kΩ and R2=2.25 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.96 mA and I4=0.752 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.825E+00 mA
b) 2.007E+00 mA
c) 2.208E+00 mA
d) 2.429E+00 mA
e) 2.672E+00 mA

4) 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
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.6 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=4.4 m, z=z0=1.5 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 4.6m2 ,and those in the zx plane have area 6.4m2. An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 39° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.222E+01 N·m2/C
b) 3.544E+01 N·m2/C
c) 3.899E+01 N·m2/C
d) 4.289E+01 N·m2/C
e) 4.718E+01 N·m2/C

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

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

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

a) 7.000E+01 N/C
b) 7.701E+01 N/C
c) 8.471E+01 N/C
d) 9.318E+01 N/C
e) 1.025E+02 N/C
8)
Three cappies openstax example.svg
What is the net capacitance if C1=3.06 μF, C2=3.09 μF, and C3=2.48 μF in the configuration shown?
a) 3.018E+00 μF
b) 3.320E+00 μF
c) 3.652E+00 μF
d) 4.017E+00 μF
e) 4.419E+00 μF
9)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.34 Ω, R2= 1.34 Ω, and R2= 2.94 Ω. V1 and V3 are text 0.609 V and 1.68 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.541 V. What is the absolute value of the current through R1?
a) 1.464E-01 A
b) 1.610E-01 A
c) 1.772E-01 A
d) 1.949E-01 A
e) 2.144E-01 A
10)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 8.259E-15 N
b) 9.085E-15 N
c) 9.993E-15 N
d) 1.099E-14 N
e) 1.209E-14 N




T1(5-10) I0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.569E+01 degrees
b) 6.125E+01 degrees
c) 6.738E+01 degrees
d) 7.412E+01 degrees
e) 8.153E+01 degrees

2)  
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) 3.228E+00 V/m2
b) 3.551E+00 V/m2
c) 3.906E+00 V/m2
d) 4.297E+00 V/m2
e) 4.727E+00 V/m2

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) 1.128E+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
4)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.6 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.6 m, z=z0=1.2 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 11.0m2 ,and those in the zx plane have area 8.3m2. An electric field of magnitude 9 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) 4.809E+01 N·m2/C
b) 5.290E+01 N·m2/C
c) 5.819E+01 N·m2/C
d) 6.401E+01 N·m2/C
e) 7.041E+01 N·m2/C

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

a) 1.107E+00 m
b) 1.218E+00 m
c) 1.339E+00 m
d) 1.473E+00 m
e) 1.621E+00 m
6)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=5 nC and a separation distance of d=4.09 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.45 cm, y=2.04 cm)? Note that following the textbook's example, the y-value of the field point at 2.04 cm matches the disance of the positive charge above the x-axis.
a) 3.814E+02 V
b) 4.195E+02 V
c) 4.615E+02 V
d) 5.077E+02 V
e) 5.584E+02 V

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

a) 2.764E+01 μC
b) 3.041E+01 μC
c) 3.345E+01 μC
d) 3.679E+01 μC
e) 4.047E+01 μC

8) A DC winch moter draws 25 amps at 119 volts as it lifts a 4.730E+03 N weight at a constant speed of 0.47 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) 1.094E+00 Ω
b) 1.203E+00 Ω
c) 1.323E+00 Ω
d) 1.456E+00 Ω
e) 1.601E+00 Ω
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=16.8 V, and ε2=6.85 V are oriented as shownin the circuit. The resistances are R1=4.43 kΩ and R2=1.24 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.68 mA and I4=0.758 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 3.890E+00 V
b) 4.279E+00 V
c) 4.707E+00 V
d) 5.178E+00 V
e) 5.695E+00 V
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=29.5 V, and ε2=11.0 V are oriented as shownin the circuit. The resistances are R1=2.45 kΩ and R2=1.96 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.03 mA and I4=0.783 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 2.247E+00 mA
b) 2.472E+00 mA
c) 2.719E+00 mA
d) 2.991E+00 mA
e) 3.290E+00 mA




T1(5-10) I1[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.743E+01 degrees
b) 5.217E+01 degrees
c) 5.739E+01 degrees
d) 6.313E+01 degrees
e) 6.944E+01 degrees
2)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.8 m, z=z0=1.3 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 9.8m2 ,and those in the zx plane have area 7.4m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 46° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 8.457E+01 N·m2/C
b) 9.303E+01 N·m2/C
c) 1.023E+02 N·m2/C
d) 1.126E+02 N·m2/C
e) 1.238E+02 N·m2/C

3) 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

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) 3.228E+00 V/m2
b) 3.551E+00 V/m2
c) 3.906E+00 V/m2
d) 4.297E+00 V/m2
e) 4.727E+00 V/m2

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

a) 7.359E+01 μC
b) 8.094E+01 μC
c) 8.904E+01 μC
d) 9.794E+01 μC
e) 1.077E+02 μC
6)
Kirchhoff loop w external current.svg
Two sources of emf ε1=39.2 V, and ε2=12.6 V are oriented as shownin the circuit. The resistances are R1=3.86 kΩ and R2=1.89 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.05 mA and I4=0.701 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 8.687E+00 V
b) 9.555E+00 V
c) 1.051E+01 V
d) 1.156E+01 V
e) 1.272E+01 V

7) If a 23 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=62 V is x2 + y2 + z2 = R2, where R=

a) 2.277E+00 m
b) 2.505E+00 m
c) 2.755E+00 m
d) 3.031E+00 m
e) 3.334E+00 m
8)
Kirchhoff loop w external current.svg
Two sources of emf ε1=29.3 V, and ε2=11.0 V are oriented as shownin the circuit. The resistances are R1=5.65 kΩ and R2=2.68 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.81 mA and I4=0.525 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.717E+00 mA
b) 1.888E+00 mA
c) 2.077E+00 mA
d) 2.285E+00 mA
e) 2.514E+00 mA
9)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.
a) 5.645E+02 V
b) 6.210E+02 V
c) 6.831E+02 V
d) 7.514E+02 V
e) 8.266E+02 V

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=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




T1(5-10) I2[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) 4.961E-01 V/m2
b) 5.457E-01 V/m2
c) 6.002E-01 V/m2
d) 6.603E-01 V/m2
e) 7.263E-01 V/m2

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

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

3) 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
4)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=4 nC and a separation distance of d=3.79 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.2 cm, y=1.9 cm)? Note that following the textbook's example, the y-value of the field point at 1.9 cm matches the disance of the positive charge above the x-axis.
a) 2.731E+02 V
b) 3.004E+02 V
c) 3.304E+02 V
d) 3.634E+02 V
e) 3.998E+02 V

5) 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
6)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.8 m, z=z0=1.7 m, and z=z1=5.8 m. The surfaces in the yz plane each have area 18.0m2. Those in the xy plane have area 5.6m2 ,and those in the zx plane have area 5.3m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 40° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.712E+01 N·m2/C
b) 4.083E+01 N·m2/C
c) 4.491E+01 N·m2/C
d) 4.940E+01 N·m2/C
e) 5.434E+01 N·m2/C
7)
Kirchhoff loop w external current.svg
Two sources of emf ε1=26.2 V, and ε2=11.5 V are oriented as shownin the circuit. The resistances are R1=2.13 kΩ and R2=1.72 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.11 mA and I4=0.746 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 4.275E+00 V
b) 4.703E+00 V
c) 5.173E+00 V
d) 5.691E+00 V
e) 6.260E+00 V
8)
Kirchhoff loop w external current.svg
Two sources of emf ε1=44.4 V, and ε2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 kΩ and R2=1.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 6.970E+00 mA
b) 7.667E+00 mA
c) 8.434E+00 mA
d) 9.277E+00 mA
e) 1.020E+01 mA
9)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.766E+01 degrees
b) 5.243E+01 degrees
c) 5.767E+01 degrees
d) 6.343E+01 degrees
e) 6.978E+01 degrees

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

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




T1(5-10) J0[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) 1.022E+00 V/m2
b) 1.125E+00 V/m2
c) 1.237E+00 V/m2
d) 1.361E+00 V/m2
e) 1.497E+00 V/m2
2)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 9.750E-15 N
b) 1.072E-14 N
c) 1.180E-14 N
d) 1.298E-14 N
e) 1.427E-14 N

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) 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

4) A non-conducting sphere of radius R=2.9 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.5 (r≤R) where a=2 nC·m-1.5. What is the magnitude of the electric field at a distance of 1.5 m from the center?

a) 1.383E+02 N/C
b) 1.522E+02 N/C
c) 1.674E+02 N/C
d) 1.841E+02 N/C
e) 2.025E+02 N/C

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

a) 7.407E+18 electrons
b) 8.147E+18 electrons
c) 8.962E+18 electrons
d) 9.858E+18 electrons
e) 1.084E+19 electrons
6)
Four charges at corners of rectangle.svg
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=12 μC. How much work was required to assemble these four charges from infinity?
a) 7.789E+01 J
b) 8.568E+01 J
c) 9.425E+01 J
d) 1.037E+02 J
e) 1.140E+02 J
7)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=19.9 μF, C2=2.25 μF, and C3=4.75 μF. The voltage source provides ε=6.93 V. What is the charge on C1?
a) 2.451E+01 μC
b) 2.696E+01 μC
c) 2.966E+01 μC
d) 3.262E+01 μC
e) 3.589E+01 μC

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

a) 2.953E-04 V/m
b) 3.248E-04 V/m
c) 3.573E-04 V/m
d) 3.930E-04 V/m
e) 4.324E-04 V/m
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=30.6 V, and ε2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.46 kΩ and R2=2.77 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.97 mA and I4=0.643 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 4.986E+00 V
b) 5.484E+00 V
c) 6.033E+00 V
d) 6.636E+00 V
e) 7.299E+00 V
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=24.8 V, and ε2=10.3 V are oriented as shownin the circuit. The resistances are R1=2.19 kΩ and R2=1.6 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.49 mA and I4=0.83 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.660E+00 mA
b) 1.826E+00 mA
c) 2.009E+00 mA
d) 2.209E+00 mA
e) 2.430E+00 mA




T1(5-10) J1[edit]

1) 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

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)
Four charges at corners of rectangle.svg
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.178E+01 J
b) 5.696E+01 J
c) 6.266E+01 J
d) 6.892E+01 J
e) 7.582E+01 J
4)
Kirchhoff loop w external current.svg
Two sources of emf ε1=38.9 V, and ε2=16.9 V are oriented as shownin the circuit. The resistances are R1=3.3 kΩ and R2=2.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.34 mA and I4=0.955 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 7.031E+00 V
b) 7.734E+00 V
c) 8.507E+00 V
d) 9.358E+00 V
e) 1.029E+01 V

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

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

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

a) 7.825E+02 N/C
b) 8.607E+02 N/C
c) 9.468E+02 N/C
d) 1.041E+03 N/C
e) 1.146E+03 N/C
7)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 9.958E-15 N
b) 1.095E-14 N
c) 1.205E-14 N
d) 1.325E-14 N
e) 1.458E-14 N
8)
Kirchhoff loop w external current.svg
Two sources of emf ε1=20.6 V, and ε2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 kΩ and R2=2.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.085E+00 mA
b) 1.194E+00 mA
c) 1.313E+00 mA
d) 1.444E+00 mA
e) 1.589E+00 mA
9)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=15.4 μF, C2=2.22 μF, and C3=4.77 μF. The voltage source provides ε=6.8 V. What is the charge on C1?
a) 2.702E+01 μC
b) 2.972E+01 μC
c) 3.269E+01 μC
d) 3.596E+01 μC
e) 3.956E+01 μC

10) Calculate the electric field in a 12-gauge copper wire that is 44 m long and carries a current of 78 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.704E-04 V/m
b) 2.974E-04 V/m
c) 3.272E-04 V/m
d) 3.599E-04 V/m
e) 3.959E-04 V/m




T1(5-10) J2[edit]

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

a) 2.567E+01 V/m2
b) 2.824E+01 V/m2
c) 3.106E+01 V/m2
d) 3.417E+01 V/m2
e) 3.759E+01 V/m2
2)
Kirchhoff loop w external current.svg
Two sources of emf ε1=16.8 V, and ε2=7.15 V are oriented as shownin the circuit. The resistances are R1=3.12 kΩ and R2=1.51 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.95 mA and I4=0.603 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 4.108E+00 V
b) 4.519E+00 V
c) 4.970E+00 V
d) 5.468E+00 V
e) 6.014E+00 V

3) Calculate the electric field in a 12-gauge copper wire that is 78 m long and carries a current of 24 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 1.218E-04 V/m
b) 1.340E-04 V/m
c) 1.474E-04 V/m
d) 1.621E-04 V/m
e) 1.783E-04 V/m

4) 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
5)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=17.5 μF, C2=2.63 μF, and C3=5.76 μF. The voltage source provides ε=15.9 V. What is the charge on C1?
a) 8.197E+01 μC
b) 9.017E+01 μC
c) 9.919E+01 μC
d) 1.091E+02 μC
e) 1.200E+02 μC

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

a) 2.079E+02 N/C
b) 2.287E+02 N/C
c) 2.516E+02 N/C
d) 2.767E+02 N/C
e) 3.044E+02 N/C
7)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 2.544E-14 N
b) 2.798E-14 N
c) 3.078E-14 N
d) 3.385E-14 N
e) 3.724E-14 N

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=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
9)
Four charges at corners of rectangle.svg
Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 1.241E+02 J
b) 1.365E+02 J
c) 1.501E+02 J
d) 1.652E+02 J
e) 1.817E+02 J
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=29.5 V, and ε2=11.0 V are oriented as shownin the circuit. The resistances are R1=2.45 kΩ and R2=1.96 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.03 mA and I4=0.783 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 2.247E+00 mA
b) 2.472E+00 mA
c) 2.719E+00 mA
d) 2.991E+00 mA
e) 3.290E+00 mA




T1(5-10) K0[edit]

1)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate at x=0.76 m if a=1.1 m, b=1.6 m. The total charge on the rod is 8 nC.
a) 5.267E+00 V/m2
b) 5.794E+00 V/m2
c) 6.374E+00 V/m2
d) 7.011E+00 V/m2
e) 7.712E+00 V/m2
2)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.377E+01 degrees
b) 5.914E+01 degrees
c) 6.506E+01 degrees
d) 7.157E+01 degrees
e) 7.872E+01 degrees

3) A non-conducting sphere of radius R=2.9 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.5 (r≤R) where a=3 nC·m-1.5. What is the magnitude of the electric field at a distance of 1.7 m from the center?

a) 2.579E+02 N/C
b) 2.837E+02 N/C
c) 3.121E+02 N/C
d) 3.433E+02 N/C
e) 3.776E+02 N/C

4) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.7 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.4 m from the center of the shells?

a) 1.491E+01 N/C
b) 1.640E+01 N/C
c) 1.804E+01 N/C
d) 1.984E+01 N/C
e) 2.182E+01 N/C
5)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=6 nC and a separation distance of d=4.06 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.28 cm, y=2.03 cm)? Note that following the textbook's example, the y-value of the field point at 2.03 cm matches the disance of the positive charge above the x-axis.
a) 4.590E+02 V
b) 5.049E+02 V
c) 5.554E+02 V
d) 6.109E+02 V
e) 6.720E+02 V

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

a) 1.397E+02 V
b) 1.536E+02 V
c) 1.690E+02 V
d) 1.859E+02 V
e) 2.045E+02 V
7)
Three cappies openstax example.svg
What is the net capacitance if C1=3.25 μF, C2=4.87 μF, and C3=2.19 μF in the configuration shown?
a) 4.139E+00 μF
b) 4.553E+00 μF
c) 5.008E+00 μF
d) 5.509E+00 μF
e) 6.060E+00 μF

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

a) 6.180E+28 e/m3
b) 6.798E+28 e/m3
c) 7.478E+28 e/m3
d) 8.226E+28 e/m3
e) 9.049E+28 e/m3
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=20.6 V, and ε2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 kΩ and R2=2.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.085E+00 mA
b) 1.194E+00 mA
c) 1.313E+00 mA
d) 1.444E+00 mA
e) 1.589E+00 mA
10)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.54 Ω, R2= 0.927 Ω, and R2= 2.46 Ω. V1 and V3 are text 0.632 V and 2.12 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.586 V. What is the absolute value of the current through R1?
a) 1.770E-01 A
b) 1.947E-01 A
c) 2.141E-01 A
d) 2.355E-01 A
e) 2.591E-01 A




T1(5-10) K1[edit]

1)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=4 nC and a separation distance of d=3.79 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.2 cm, y=1.9 cm)? Note that following the textbook's example, the y-value of the field point at 1.9 cm matches the disance of the positive charge above the x-axis.
a) 2.731E+02 V
b) 3.004E+02 V
c) 3.304E+02 V
d) 3.634E+02 V
e) 3.998E+02 V
2)
Kirchhoff loop w external current.svg
Two sources of emf ε1=24.9 V, and ε2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.32 kΩ and R2=2.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.74 mA and I4=0.444 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.725E+00 mA
b) 1.898E+00 mA
c) 2.087E+00 mA
d) 2.296E+00 mA
e) 2.526E+00 mA

3) 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
4)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.914E+01 degrees
b) 6.506E+01 degrees
c) 7.157E+01 degrees
d) 7.872E+01 degrees
e) 8.659E+01 degrees
5)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.73 Ω, R2= 1.4 Ω, and R2= 2.35 Ω. V1 and V3 are text 0.549 V and 1.27 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.584 V. What is the absolute value of the current through R1?
a) 1.213E-01 A
b) 1.334E-01 A
c) 1.468E-01 A
d) 1.614E-01 A
e) 1.776E-01 A
6)
Three cappies openstax example.svg
What is the net capacitance if C1=3.13 μF, C2=2.28 μF, and C3=2.59 μF in the configuration shown?
a) 3.231E+00 μF
b) 3.554E+00 μF
c) 3.909E+00 μF
d) 4.300E+00 μF
e) 4.730E+00 μF

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

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

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

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

9) A make-believe metal has a density of 8.690E+03 kg/m3 and an atomic mass of 48.4 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) 1.081E+29 e/m3
b) 1.189E+29 e/m3
c) 1.308E+29 e/m3
d) 1.439E+29 e/m3
e) 1.582E+29 e/m3
10)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.4 m. Evaluate at x=1.1 m if a=0.69 m, b=2.2 m. The total charge on the rod is 6 nC.
a) 3.161E+00 V/m2
b) 3.477E+00 V/m2
c) 3.825E+00 V/m2
d) 4.208E+00 V/m2
e) 4.628E+00 V/m2




T1(5-10) K2[edit]

1)
Three cappies openstax example.svg
What is the net capacitance if C1=3.06 μF, C2=3.09 μF, and C3=2.48 μF in the configuration shown?
a) 3.018E+00 μF
b) 3.320E+00 μF
c) 3.652E+00 μF
d) 4.017E+00 μF
e) 4.419E+00 μF

2) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 7.2 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.6 m from the center of the shells?

a) 1.114E+01 N/C
b) 1.225E+01 N/C
c) 1.347E+01 N/C
d) 1.482E+01 N/C
e) 1.630E+01 N/C
3)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.9 m. Evaluate at x=0.96 m if a=0.95 m, b=1.8 m. The total charge on the rod is 7 nC.
a) 3.385E+00 V/m2
b) 3.724E+00 V/m2
c) 4.096E+00 V/m2
d) 4.506E+00 V/m2
e) 4.957E+00 V/m2
4)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.51 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.85 cm, y=1.75 cm)? Note that following the textbook's example, the y-value of the field point at 1.75 cm matches the disance of the positive charge above the x-axis.
a) 2.073E+02 V
b) 2.281E+02 V
c) 2.509E+02 V
d) 2.760E+02 V
e) 3.035E+02 V

5) A non-conducting sphere of radius R=1.7 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.2 (r≤R) where a=3 nC·m-1.8. What is the magnitude of the electric field at a distance of 0.71 m from the center?

a) 3.797E+01 N/C
b) 4.177E+01 N/C
c) 4.595E+01 N/C
d) 5.054E+01 N/C
e) 5.560E+01 N/C

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

a) 1.857E+02 V
b) 2.043E+02 V
c) 2.247E+02 V
d) 2.472E+02 V
e) 2.719E+02 V
7)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.18 Ω, R2= 0.878 Ω, and R2= 2.11 Ω. V1 and V3 are text 0.637 V and 3.51 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.547 V. What is the absolute value of the current through R1?
a) 1.701E-01 A
b) 1.871E-01 A
c) 2.058E-01 A
d) 2.264E-01 A
e) 2.490E-01 A
8)
Kirchhoff loop w external current.svg
Two sources of emf ε1=49.6 V, and ε2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 kΩ and R2=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 3.055E+00 mA
b) 3.360E+00 mA
c) 3.696E+00 mA
d) 4.066E+00 mA
e) 4.472E+00 mA

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

a) 1.850E+29 e/m3
b) 2.036E+29 e/m3
c) 2.239E+29 e/m3
d) 2.463E+29 e/m3
e) 2.709E+29 e/m3
10)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.062E+01 degrees
b) 5.569E+01 degrees
c) 6.125E+01 degrees
d) 6.738E+01 degrees
e) 7.412E+01 degrees




T1(5-10) L0[edit]

1)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.1 m if a=0.62 m, b=1.3 m. The total charge on the rod is 7 nC.
a) 6.311E+00 V/m2
b) 6.943E+00 V/m2
c) 7.637E+00 V/m2
d) 8.401E+00 V/m2
e) 9.241E+00 V/m2

2)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

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

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=5), and (x=7, y=5), where x and y are measured in meters. The electric field is,

a) 1.206E+03 V·m
b) 1.326E+03 V·m
c) 1.459E+03 V·m
d) 1.605E+03 V·m
e) 1.765E+03 V·m

4) A non-conducting sphere of radius R=1.7 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.2 (r≤R) where a=3 nC·m-1.8. What is the magnitude of the electric field at a distance of 0.71 m from the center?

a) 3.797E+01 N/C
b) 4.177E+01 N/C
c) 4.595E+01 N/C
d) 5.054E+01 N/C
e) 5.560E+01 N/C

5) 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
6)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.85 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.18 cm, y=1.93 cm)? Note that following the textbook's example, the y-value of the field point at 1.93 cm matches the disance of the positive charge above the x-axis.
a) 3.866E+02 V
b) 4.253E+02 V
c) 4.678E+02 V
d) 5.146E+02 V
e) 5.661E+02 V

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

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

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

a) 2.087E-04 m/s
b) 2.295E-04 m/s
c) 2.525E-04 m/s
d) 2.777E-04 m/s
e) 3.055E-04 m/s
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=38.9 V, and ε2=15.7 V are oriented as shownin the circuit. The resistances are R1=2.24 kΩ and R2=2.23 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.01 mA and I4=0.86 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.955E+00 mA
b) 2.150E+00 mA
c) 2.365E+00 mA
d) 2.601E+00 mA
e) 2.862E+00 mA
10)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V. If the combined external and internal resistance is 201 &Omega and the capacitance is 82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?
a) 9.024E+00 s
b) 9.927E+00 s
c) 1.092E+01 s
d) 1.201E+01 s
e) 1.321E+01 s




T1(5-10) L1[edit]

1)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 327 V. If the combined external and internal resistance is 204 &Omega and the capacitance is 68 mF, how long will it take for the capacitor's voltage to reach 218.0 V?
a) 1.385E+01 s
b) 1.524E+01 s
c) 1.676E+01 s
d) 1.844E+01 s
e) 2.028E+01 s

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) 1.128E+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
3)
Kirchhoff loop w external current.svg
Two sources of emf ε1=44.4 V, and ε2=16.8 V are oriented as shownin the circuit. The resistances are R1=4.58 kΩ and R2=1.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=8.43 mA and I4=1.46 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 6.970E+00 mA
b) 7.667E+00 mA
c) 8.434E+00 mA
d) 9.277E+00 mA
e) 1.020E+01 mA

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

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

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

a) 1.123E+02 N/C
b) 1.235E+02 N/C
c) 1.358E+02 N/C
d) 1.494E+02 N/C
e) 1.644E+02 N/C
7)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.16 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.16 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.
a) 3.070E+02 V
b) 3.377E+02 V
c) 3.715E+02 V
d) 4.086E+02 V
e) 4.495E+02 V

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) 4.295E+00 V/m2
b) 4.724E+00 V/m2
c) 5.196E+00 V/m2
d) 5.716E+00 V/m2
e) 6.288E+00 V/m2
9)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate at x=0.52 m if a=0.88 m, b=1.3 m. The total charge on the rod is 6 nC.
a) 6.804E+00 V/m2
b) 7.485E+00 V/m2
c) 8.233E+00 V/m2
d) 9.056E+00 V/m2
e) 9.962E+00 V/m2

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

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




T1(5-10) L2[edit]

1)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 554 V. If the combined external and internal resistance is 228 &Omega and the capacitance is 93 mF, how long will it take for the capacitor's voltage to reach 450.0 V?
a) 3.224E+01 s
b) 3.547E+01 s
c) 3.902E+01 s
d) 4.292E+01 s
e) 4.721E+01 s

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

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

3)  
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) 6.877E+00 V/m2
b) 7.565E+00 V/m2
c) 8.321E+00 V/m2
d) 9.153E+00 V/m2
e) 1.007E+01 V/m2

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

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

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

a) 2.764E+01 μC
b) 3.041E+01 μC
c) 3.345E+01 μC
d) 3.679E+01 μC
e) 4.047E+01 μC
6)
Charged line segment test question.svg
 
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.5 m. Evaluate at x=1.0 m if a=1.1 m, b=1.4 m. The total charge on the rod is 5 nC.
a) 4.602E+00 V/m2
b) 5.062E+00 V/m2
c) 5.568E+00 V/m2
d) 6.125E+00 V/m2
e) 6.738E+00 V/m2
7)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=8 nC and a separation distance of d=3.55 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.43 cm, y=1.77 cm)? Note that following the textbook's example, the y-value of the field point at 1.77 cm matches the disance of the positive charge above the x-axis.
a) 5.796E+02 V
b) 6.375E+02 V
c) 7.013E+02 V
d) 7.714E+02 V
e) 8.486E+02 V
8)
Kirchhoff loop w external current.svg
Two sources of emf ε1=40.3 V, and ε2=16.8 V are oriented as shownin the circuit. The resistances are R1=2.57 kΩ and R2=2.25 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.96 mA and I4=0.752 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.825E+00 mA
b) 2.007E+00 mA
c) 2.208E+00 mA
d) 2.429E+00 mA
e) 2.672E+00 mA

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

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

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

a) 2.087E-04 m/s
b) 2.295E-04 m/s
c) 2.525E-04 m/s
d) 2.777E-04 m/s
e) 3.055E-04 m/s




T1(5-10) M0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.743E+01 degrees
b) 5.217E+01 degrees
c) 5.739E+01 degrees
d) 6.313E+01 degrees
e) 6.944E+01 degrees
2)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.0 m (on axis) away from the loop's center?
a) 5.352E+09 N/C2
b) 5.887E+09 N/C2
c) 6.476E+09 N/C2
d) 7.124E+09 N/C2
e) 7.836E+09 N/C2
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.8 m, z=z0=1.7 m, and z=z1=5.8 m. The surfaces in the yz plane each have area 18.0m2. Those in the xy plane have area 5.6m2 ,and those in the zx plane have area 5.3m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 40° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.712E+01 N·m2/C
b) 4.083E+01 N·m2/C
c) 4.491E+01 N·m2/C
d) 4.940E+01 N·m2/C
e) 5.434E+01 N·m2/C

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=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
5)
Electron Gun with Wehnelt Cylinder.svg
An electron gun has parallel plates separated by 2.36 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.45 μC charge that gets between the plates?
a) 7.033E-01 N
b) 7.736E-01 N
c) 8.510E-01 N
d) 9.361E-01 N
e) 1.030E+00 N
6)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.
a) 5.645E+02 V
b) 6.210E+02 V
c) 6.831E+02 V
d) 7.514E+02 V
e) 8.266E+02 V
7)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=16.0 μF, C2=2.27 μF, and C3=4.4 μF. The voltage source provides ε=7.11 V. What is the charge on C1?
a) 2.515E+01 μC
b) 2.766E+01 μC
c) 3.043E+01 μC
d) 3.347E+01 μC
e) 3.682E+01 μC

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

a) 1.941E-04 V/m
b) 2.135E-04 V/m
c) 2.349E-04 V/m
d) 2.584E-04 V/m
e) 2.842E-04 V/m
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=24.8 V, and ε2=10.3 V are oriented as shownin the circuit. The resistances are R1=2.19 kΩ and R2=1.6 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.49 mA and I4=0.83 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.660E+00 mA
b) 1.826E+00 mA
c) 2.009E+00 mA
d) 2.209E+00 mA
e) 2.430E+00 mA
10)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 327 V. If the combined external and internal resistance is 204 &Omega and the capacitance is 68 mF, how long will it take for the capacitor's voltage to reach 218.0 V?
a) 1.385E+01 s
b) 1.524E+01 s
c) 1.676E+01 s
d) 1.844E+01 s
e) 2.028E+01 s




T1(5-10) M1[edit]

1)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=19.4 μF, C2=2.49 μF, and C3=4.17 μF. The voltage source provides ε=6.35 V. What is the charge on C1?
a) 2.602E+01 μC
b) 2.862E+01 μC
c) 3.148E+01 μC
d) 3.463E+01 μC
e) 3.809E+01 μC
2)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 505 V. If the combined external and internal resistance is 189 &Omega and the capacitance is 74 mF, how long will it take for the capacitor's voltage to reach 374.0 V?
a) 1.560E+01 s
b) 1.716E+01 s
c) 1.887E+01 s
d) 2.076E+01 s
e) 2.284E+01 s

3) Calculate the electric field in a 12-gauge copper wire that is 25 m long and carries a current of 43 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.182E-04 V/m
b) 2.401E-04 V/m
c) 2.641E-04 V/m
d) 2.905E-04 V/m
e) 3.195E-04 V/m
4)
Kirchhoff loop w external current.svg
Two sources of emf ε1=30.5 V, and ε2=12.0 V are oriented as shownin the circuit. The resistances are R1=3.79 kΩ and R2=1.86 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.07 mA and I4=0.73 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 2.281E+00 mA
b) 2.509E+00 mA
c) 2.760E+00 mA
d) 3.036E+00 mA
e) 3.340E+00 mA
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=4.2 m, z=z0=1.2 m, and z=z1=4.1 m. The surfaces in the yz plane each have area 8.7m2. Those in the xy plane have area 7.2m2 ,and those in the zx plane have area 7.0m2. An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 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) 4.024E+01 N·m2/C
b) 4.426E+01 N·m2/C
c) 4.868E+01 N·m2/C
d) 5.355E+01 N·m2/C
e) 5.891E+01 N·m2/C

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=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
7)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.569E+01 degrees
b) 6.125E+01 degrees
c) 6.738E+01 degrees
d) 7.412E+01 degrees
e) 8.153E+01 degrees
8)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?
a) 3.339E+09 N/C2
b) 3.673E+09 N/C2
c) 4.041E+09 N/C2
d) 4.445E+09 N/C2
e) 4.889E+09 N/C2
9)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.16 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.16 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.
a) 3.070E+02 V
b) 3.377E+02 V
c) 3.715E+02 V
d) 4.086E+02 V
e) 4.495E+02 V
10)
Electron Gun with Wehnelt Cylinder.svg
An electron gun has parallel plates separated by 2.98 cm and gives electrons 11 keV of energy. What force would the field between the plates exert on a 0.685 μC charge that gets between the plates?
a) 1.900E-01 N
b) 2.090E-01 N
c) 2.299E-01 N
d) 2.529E-01 N
e) 2.781E-01 N




T1(5-10) M2[edit]

1)
Kirchhoff loop w external current.svg
Two sources of emf ε1=40.3 V, and ε2=16.8 V are oriented as shownin the circuit. The resistances are R1=2.57 kΩ and R2=2.25 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.96 mA and I4=0.752 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.825E+00 mA
b) 2.007E+00 mA
c) 2.208E+00 mA
d) 2.429E+00 mA
e) 2.672E+00 mA
2)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 351 V. If the combined external and internal resistance is 148 &Omega and the capacitance is 60 mF, how long will it take for the capacitor's voltage to reach 227.0 V?
a) 9.240E+00 s
b) 1.016E+01 s
c) 1.118E+01 s
d) 1.230E+01 s
e) 1.353E+01 s
3)
VFPt dipole electric manylines cropped.svg
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.
a) 5.645E+02 V
b) 6.210E+02 V
c) 6.831E+02 V
d) 7.514E+02 V
e) 8.266E+02 V
4)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 4 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 5.402E+09 N/C2
b) 5.943E+09 N/C2
c) 6.537E+09 N/C2
d) 7.191E+09 N/C2
e) 7.910E+09 N/C2
5)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.8 m, z=z0=1.7 m, and z=z1=5.8 m. The surfaces in the yz plane each have area 18.0m2. Those in the xy plane have area 5.6m2 ,and those in the zx plane have area 5.3m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 40° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.712E+01 N·m2/C
b) 4.083E+01 N·m2/C
c) 4.491E+01 N·m2/C
d) 4.940E+01 N·m2/C
e) 5.434E+01 N·m2/C

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=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
7)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=19.6 μF, C2=2.15 μF, and C3=5.36 μF. The voltage source provides ε=11.6 V. What is the charge on C1?
a) 6.298E+01 μC
b) 6.928E+01 μC
c) 7.621E+01 μC
d) 8.383E+01 μC
e) 9.221E+01 μC

8) Calculate the electric field in a 12-gauge copper wire that is 15 m long and carries a current of 85 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 2.947E-04 V/m
b) 3.241E-04 V/m
c) 3.565E-04 V/m
d) 3.922E-04 V/m
e) 4.314E-04 V/m
9)
Electron Gun with Wehnelt Cylinder.svg
An electron gun has parallel plates separated by 4.85 cm and gives electrons 36 keV of energy. What force would the field between the plates exert on a 0.663 μC charge that gets between the plates?
a) 3.697E-01 N
b) 4.067E-01 N
c) 4.474E-01 N
d) 4.921E-01 N
e) 5.413E-01 N
10)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.062E+01 degrees
b) 5.569E+01 degrees
c) 6.125E+01 degrees
d) 6.738E+01 degrees
e) 7.412E+01 degrees




T1(5-10) N0[edit]

1) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 6.171E+01 N/C
b) 6.788E+01 N/C
c) 7.467E+01 N/C
d) 8.214E+01 N/C
e) 9.035E+01 N/C
2)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
a) 1.202E+09 N/C2
b) 1.322E+09 N/C2
c) 1.454E+09 N/C2
d) 1.599E+09 N/C2
e) 1.759E+09 N/C2
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.8 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=4.2 m, z=z0=1.9 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 10.0m2. Those in the xy plane have area 8.1m2 ,and those in the zx plane have area 10.0m2. An electric field has the xyz components (0, 8.5, 6.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 7.081E+01 N·m2/C
b) 7.789E+01 N·m2/C
c) 8.568E+01 N·m2/C
d) 9.425E+01 N·m2/C
e) 1.037E+02 N·m2/C

4) 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
5)
Electron Gun with Wehnelt Cylinder.svg
An electron gun has parallel plates separated by 4.95 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.516 μC charge that gets between the plates?
a) 1.355E-01 N
b) 1.491E-01 N
c) 1.640E-01 N
d) 1.804E-01 N
e) 1.984E-01 N

6) 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
7)
Three cappies openstax example.svg
What is the net capacitance if C1=2.3 μF, C2=2.84 μF, and C3=3.41 μF in the configuration shown?
a) 4.255E+00 μF
b) 4.681E+00 μF
c) 5.149E+00 μF
d) 5.664E+00 μF
e) 6.230E+00 μF

8) Imagine a substance could be made into a very hot filament. Suppose the resitance is 5.88 Ω at a temperature of 87°C and that the temperature coefficient of expansion is 5.290E-03 (°C)−1). What is the resistance at a temperature of 547 °C?

a) 1.831E+01 Ω
b) 1.923E+01 Ω
c) 2.019E+01 Ω
d) 2.120E+01 Ω
e) 2.226E+01 Ω
9)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=16.2 V, R1=2.84 Ω, R2=7.06 Ω, and R3=13.1 Ω. What is the power dissipated by R2?
a) 1.418E+01 W
b) 1.560E+01 W
c) 1.716E+01 W
d) 1.887E+01 W
e) 2.076E+01 W

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




T1(5-10) N1[edit]

1)
Three cappies openstax example.svg
What is the net capacitance if C1=4.13 μF, C2=3.56 μF, and C3=3.57 μF in the configuration shown?
a) 5.482E+00 μF
b) 6.030E+00 μF
c) 6.633E+00 μF
d) 7.296E+00 μF
e) 8.026E+00 μF
2)
Electron Gun with Wehnelt Cylinder.svg
An electron gun has parallel plates separated by 4.95 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.516 μC charge that gets between the plates?
a) 1.355E-01 N
b) 1.491E-01 N
c) 1.640E-01 N
d) 1.804E-01 N
e) 1.984E-01 N

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

a) 5.647E+01 N/C
b) 6.212E+01 N/C
c) 6.833E+01 N/C
d) 7.516E+01 N/C
e) 8.268E+01 N/C
4)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=5.3 m, z=z0=1.3 m, and z=z1=5.6 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 4.8m2 ,and those in the zx plane have area 5.6m2. An electric field has the xyz components (0, 5.5, 9.1) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.074E+01 N·m2/C
b) 3.382E+01 N·m2/C
c) 3.720E+01 N·m2/C
d) 4.092E+01 N·m2/C
e) 4.501E+01 N·m2/C
5)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=11.8 V, R1=2.38 Ω, R2=5.11 Ω, and R3=14.6 Ω. What is the power dissipated by R2?
a) 8.489E+00 W
b) 9.338E+00 W
c) 1.027E+01 W
d) 1.130E+01 W
e) 1.243E+01 W

6) 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

7) 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

8) 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

9) 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
10)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 8 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.32 m (on axis) away from the loop's center?
a) 3.339E+09 N/C2
b) 3.673E+09 N/C2
c) 4.041E+09 N/C2
d) 4.445E+09 N/C2
e) 4.889E+09 N/C2




T1(5-10) N2[edit]

1) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 7.2 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.6 m from the center of the shells?

a) 1.114E+01 N/C
b) 1.225E+01 N/C
c) 1.347E+01 N/C
d) 1.482E+01 N/C
e) 1.630E+01 N/C

2) 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
3)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=15.4 V, R1=2.77 Ω, R2=6.07 Ω, and R3=14.5 Ω. What is the power dissipated by R2?
a) 1.190E+01 W
b) 1.309E+01 W
c) 1.440E+01 W
d) 1.584E+01 W
e) 1.742E+01 W

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

a) 1.064E+01 Ω
b) 1.117E+01 Ω
c) 1.173E+01 Ω
d) 1.231E+01 Ω
e) 1.293E+01 Ω
5)
Electron Gun with Wehnelt Cylinder.svg
An electron gun has parallel plates separated by 4.24 cm and gives electrons 48 keV of energy. What force would the field between the plates exert on a 0.48 μC charge that gets between the plates?
a) 5.434E-01 N
b) 5.977E-01 N
c) 6.575E-01 N
d) 7.233E-01 N
e) 7.956E-01 N
6)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.2 m, z=z0=1.8 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 6.0m2. An electric field has the xyz components (0, 8.7, 8.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.730E+01 N·m2/C
b) 5.203E+01 N·m2/C
c) 5.723E+01 N·m2/C
d) 6.295E+01 N·m2/C
e) 6.925E+01 N·m2/C

7) 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
8)
Three cappies openstax example.svg
What is the net capacitance if C1=3.27 μF, C2=2.87 μF, and C3=3.23 μF in the configuration shown?
a) 3.250E+00 μF
b) 3.575E+00 μF
c) 3.933E+00 μF
d) 4.326E+00 μF
e) 4.758E+00 μF
9)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.8 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 3.159E+09 N/C2
b) 3.475E+09 N/C2
c) 3.823E+09 N/C2
d) 4.205E+09 N/C2
e) 4.626E+09 N/C2

10) A large thin isolated square plate has an area of 9 m2. It is uniformly charged with 8 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 3.428E+01 N/C
b) 3.771E+01 N/C
c) 4.148E+01 N/C
d) 4.563E+01 N/C
e) 5.020E+01 N/C




T1(5-10) O0[edit]

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

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

2) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 4.821E+01 N/C
b) 5.303E+01 N/C
c) 5.834E+01 N/C
d) 6.417E+01 N/C
e) 7.059E+01 N/C
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.2 m, z=z0=1.8 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 6.0m2. An electric field has the xyz components (0, 8.7, 8.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.730E+01 N·m2/C
b) 5.203E+01 N·m2/C
c) 5.723E+01 N·m2/C
d) 6.295E+01 N·m2/C
e) 6.925E+01 N·m2/C

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

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

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

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

6) A 5 C charge is separated from a 12 C charge by distance of 10 cm. What is the work done by increasing this separation to 16 cm?

a) 1.381E-06 J
b) 1.519E-06 J
c) 1.671E-06 J
d) 1.838E-06 J
e) 2.022E-06 J
7)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=15.4 μF, C2=2.22 μF, and C3=4.77 μF. The voltage source provides ε=6.8 V. What is the charge on C1?
a) 2.702E+01 μC
b) 2.972E+01 μC
c) 3.269E+01 μC
d) 3.596E+01 μC
e) 3.956E+01 μC

8) Calculate the resistance of a 12-gauge copper wire that is 11 m long and carries a current of 94 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 3.813E-02 Ω
b) 4.195E-02 Ω
c) 4.614E-02 Ω
d) 5.076E-02 Ω
e) 5.583E-02 Ω
9)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.57 Ω, R2= 1.25 Ω, and R2= 3.38 Ω. V1 and V3 are text 0.585 V and 2.91 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.55 V. What is the absolute value of the current through R1?
a) 1.427E-01 A
b) 1.569E-01 A
c) 1.726E-01 A
d) 1.899E-01 A
e) 2.089E-01 A
10)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=16.2 V, R1=2.84 Ω, R2=7.06 Ω, and R3=13.1 Ω. What is the power dissipated by R2?
a) 1.418E+01 W
b) 1.560E+01 W
c) 1.716E+01 W
d) 1.887E+01 W
e) 2.076E+01 W




T1(5-10) O1[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) 1.258E+00 V/m2
b) 1.384E+00 V/m2
c) 1.522E+00 V/m2
d) 1.674E+00 V/m2
e) 1.842E+00 V/m2

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

a) 1.384E-01 Ω
b) 1.523E-01 Ω
c) 1.675E-01 Ω
d) 1.842E-01 Ω
e) 2.027E-01 Ω
3)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.18 Ω, R2= 0.878 Ω, and R2= 2.11 Ω. V1 and V3 are text 0.637 V and 3.51 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.547 V. What is the absolute value of the current through R1?
a) 1.701E-01 A
b) 1.871E-01 A
c) 2.058E-01 A
d) 2.264E-01 A
e) 2.490E-01 A
4)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=16.2 V, R1=2.84 Ω, R2=7.06 Ω, and R3=13.1 Ω. What is the power dissipated by R2?
a) 1.418E+01 W
b) 1.560E+01 W
c) 1.716E+01 W
d) 1.887E+01 W
e) 2.076E+01 W

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

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

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

a) 2.408E-06 J
b) 2.649E-06 J
c) 2.914E-06 J
d) 3.205E-06 J
e) 3.526E-06 J
7)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=5.3 m, z=z0=1.3 m, and z=z1=5.6 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 4.8m2 ,and those in the zx plane have area 5.6m2. An electric field has the xyz components (0, 5.5, 9.1) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.074E+01 N·m2/C
b) 3.382E+01 N·m2/C
c) 3.720E+01 N·m2/C
d) 4.092E+01 N·m2/C
e) 4.501E+01 N·m2/C

8) A non-conducting sphere of radius R=1.7 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.2 (r≤R) where a=3 nC·m-1.8. What is the magnitude of the electric field at a distance of 0.71 m from the center?

a) 3.797E+01 N/C
b) 4.177E+01 N/C
c) 4.595E+01 N/C
d) 5.054E+01 N/C
e) 5.560E+01 N/C
9)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=16.0 μF, C2=2.27 μF, and C3=4.4 μF. The voltage source provides ε=7.11 V. What is the charge on C1?
a) 2.515E+01 μC
b) 2.766E+01 μC
c) 3.043E+01 μC
d) 3.347E+01 μC
e) 3.682E+01 μC

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

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




T1(5-10) O2[edit]

1)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=17.8 V, R1=2.27 Ω, R2=6.79 Ω, and R3=15.1 Ω. What is the power dissipated by R2?
a) 1.446E+01 W
b) 1.591E+01 W
c) 1.750E+01 W
d) 1.925E+01 W
e) 2.117E+01 W

2) A non-conducting sphere of radius R=1.7 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.2 (r≤R) where a=3 nC·m-1.8. What is the magnitude of the electric field at a distance of 0.71 m from the center?

a) 3.797E+01 N/C
b) 4.177E+01 N/C
c) 4.595E+01 N/C
d) 5.054E+01 N/C
e) 5.560E+01 N/C

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

a) 3.617E+06 m/s
b) 3.979E+06 m/s
c) 4.376E+06 m/s
d) 4.814E+06 m/s
e) 5.296E+06 m/s
4)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.81 Ω, R2= 1.18 Ω, and R2= 2.62 Ω. V1 and V3 are text 0.628 V and 2.54 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.748 V. What is the absolute value of the current through R1?
a) 1.552E-01 A
b) 1.707E-01 A
c) 1.878E-01 A
d) 2.065E-01 A
e) 2.272E-01 A
5)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=19.9 μF, C2=2.25 μF, and C3=4.75 μF. The voltage source provides ε=6.93 V. What is the charge on C1?
a) 2.451E+01 μC
b) 2.696E+01 μC
c) 2.966E+01 μC
d) 3.262E+01 μC
e) 3.589E+01 μC

6)  
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) 4.961E-01 V/m2
b) 5.457E-01 V/m2
c) 6.002E-01 V/m2
d) 6.603E-01 V/m2
e) 7.263E-01 V/m2

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

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

8) A 7 C charge is separated from a 12 C charge by distance of 9 cm. What is the work done by increasing this separation to 15 cm?

a) 2.292E-06 J
b) 2.521E-06 J
c) 2.773E-06 J
d) 3.050E-06 J
e) 3.355E-06 J
9)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.7 m, z=z0=1.2 m, and z=z1=4.1 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 6.6m2 ,and those in the zx plane have area 5.8m2. An electric field has the xyz components (0, 8.4, 5.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.328E+01 N·m2/C
b) 3.660E+01 N·m2/C
c) 4.026E+01 N·m2/C
d) 4.429E+01 N·m2/C
e) 4.872E+01 N·m2/C

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

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




T1(5-10) P0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 3.426E-15 N
b) 3.768E-15 N
c) 4.145E-15 N
d) 4.560E-15 N
e) 5.015E-15 N
2)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 5 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 5.581E+09 N/C2
b) 6.139E+09 N/C2
c) 6.753E+09 N/C2
d) 7.428E+09 N/C2
e) 8.171E+09 N/C2
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.5 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.8 m, z=z0=1.7 m, and z=z1=4.6 m. The surfaces in the yz plane each have area 9.9m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 7.2m2. An electric field of magnitude 14 N/C has components in the y and z directions and is directed at 55° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 8.314E+01 N·m2/C
b) 9.146E+01 N·m2/C
c) 1.006E+02 N·m2/C
d) 1.107E+02 N·m2/C
e) 1.217E+02 N·m2/C
4)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.8 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=5.0 m, z=z0=1.6 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 6.5m2 ,and those in the zx plane have area 7.7m2. An electric field has the xyz components (0, 8.0, 9.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.192E+01 N·m2/C
b) 6.811E+01 N·m2/C
c) 7.492E+01 N·m2/C
d) 8.242E+01 N·m2/C
e) 9.066E+01 N·m2/C

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

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

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

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

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

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

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

a) 1.848E+02 A
b) 2.032E+02 A
c) 2.236E+02 A
d) 2.459E+02 A
e) 2.705E+02 A
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=38.8 V, and ε2=14.9 V are oriented as shownin the circuit. The resistances are R1=5.83 kΩ and R2=1.77 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.57 mA and I4=1.19 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 1.013E+01 V
b) 1.115E+01 V
c) 1.226E+01 V
d) 1.349E+01 V
e) 1.484E+01 V

10) Three resistors, R1 = 1.52 Ω, and R2 = R2 = 3.38 Ω, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 1.842E+01 W
b) 2.026E+01 W
c) 2.228E+01 W
d) 2.451E+01 W
e) 2.696E+01 W




T1(5-10) P1[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 3.391E-14 N
b) 3.731E-14 N
c) 4.104E-14 N
d) 4.514E-14 N
e) 4.965E-14 N

2) 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
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.9 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.9 m, z=z0=1.3 m, and z=z1=5.3 m. The surfaces in the yz plane each have area 17.0m2. Those in the xy plane have area 12.0m2 ,and those in the zx plane have area 12.0m2. An electric field of magnitude 5 N/C has components in the y and z directions and is directed at 26° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.737E+01 N·m2/C
b) 1.910E+01 N·m2/C
c) 2.101E+01 N·m2/C
d) 2.311E+01 N·m2/C
e) 2.543E+01 N·m2/C

4) Three resistors, R1 = 1.52 Ω, and R2 = R2 = 3.38 Ω, are connected in parallel to a 5.82 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 1.842E+01 W
b) 2.026E+01 W
c) 2.228E+01 W
d) 2.451E+01 W
e) 2.696E+01 W
5)
Kirchhoff loop w external current.svg
Two sources of emf ε1=30.3 V, and ε2=8.6 V are oriented as shownin the circuit. The resistances are R1=3.81 kΩ and R2=2.39 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.38 mA and I4=0.416 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 8.945E+00 V
b) 9.840E+00 V
c) 1.082E+01 V
d) 1.191E+01 V
e) 1.310E+01 V
6)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.2 m (on axis) away from the loop's center?
a) 6.925E+09 N/C2
b) 7.617E+09 N/C2
c) 8.379E+09 N/C2
d) 9.217E+09 N/C2
e) 1.014E+10 N/C2

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

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

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

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

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

a) 2.285E+03 V
b) 2.514E+03 V
c) 2.765E+03 V
d) 3.042E+03 V
e) 3.346E+03 V
10)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.7 m, z=z0=1.2 m, and z=z1=4.1 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 6.6m2 ,and those in the zx plane have area 5.8m2. An electric field has the xyz components (0, 8.4, 5.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.328E+01 N·m2/C
b) 3.660E+01 N·m2/C
c) 4.026E+01 N·m2/C
d) 4.429E+01 N·m2/C
e) 4.872E+01 N·m2/C




T1(5-10) P2[edit]

1)
Kirchhoff loop w external current.svg
Two sources of emf ε1=26.8 V, and ε2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.2 kΩ and R2=2.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.29 mA and I4=0.464 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 3.436E+00 V
b) 3.779E+00 V
c) 4.157E+00 V
d) 4.573E+00 V
e) 5.030E+00 V
2)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.99 m (on axis) away from the loop's center?
a) 2.429E+09 N/C2
b) 2.672E+09 N/C2
c) 2.939E+09 N/C2
d) 3.233E+09 N/C2
e) 3.556E+09 N/C2

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

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

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

a) 4.244E+02 V
b) 4.669E+02 V
c) 5.135E+02 V
d) 5.649E+02 V
e) 6.214E+02 V
5)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 1.308E-13 N
b) 1.439E-13 N
c) 1.583E-13 N
d) 1.741E-13 N
e) 1.915E-13 N

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

a) 1.368E+01 μC
b) 1.505E+01 μC
c) 1.655E+01 μC
d) 1.820E+01 μC
e) 2.003E+01 μC
7)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.3 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.2 m, z=z0=1.8 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 6.0m2. An electric field has the xyz components (0, 8.7, 8.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.730E+01 N·m2/C
b) 5.203E+01 N·m2/C
c) 5.723E+01 N·m2/C
d) 6.295E+01 N·m2/C
e) 6.925E+01 N·m2/C

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

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

9) 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
10)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.5 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.9 m, z=z0=1.1 m, and z=z1=5.3 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 8.8m2 ,and those in the zx plane have area 10.0m2. An electric field of magnitude 9 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) 5.439E+01 N·m2/C
b) 5.983E+01 N·m2/C
c) 6.581E+01 N·m2/C
d) 7.239E+01 N·m2/C
e) 7.963E+01 N·m2/C




T1(5-10) Q0[edit]

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

a) 4.492E+01 N/C
b) 4.941E+01 N/C
c) 5.435E+01 N/C
d) 5.979E+01 N/C
e) 6.577E+01 N/C
2)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.243E+01 degrees
b) 5.767E+01 degrees
c) 6.343E+01 degrees
d) 6.978E+01 degrees
e) 7.676E+01 degrees

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) 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

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

a) 4.200E+05 J
b) 4.620E+05 J
c) 5.082E+05 J
d) 5.590E+05 J
e) 6.149E+05 J
6)
Bandgenerator cropped.svg
A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What is the excess charge on the sphere?
a) 9.129E+00 μC
b) 1.004E+01 μC
c) 1.105E+01 μC
d) 1.215E+01 μC
e) 1.337E+01 μC

7) An empty parallel-plate capacitor with metal plates has an area of 2.83 m2, separated by 1.14 mm. How much charge does it store if the voltage is 4.180E+03 V?

a) 6.275E+01 μC
b) 6.903E+01 μC
c) 7.593E+01 μC
d) 8.352E+01 μC
e) 9.188E+01 μC

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

a) 3.737E-01 Ω
b) 4.111E-01 Ω
c) 4.522E-01 Ω
d) 4.975E-01 Ω
e) 5.472E-01 Ω
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=20.6 V, and ε2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 kΩ and R2=2.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.085E+00 mA
b) 1.194E+00 mA
c) 1.313E+00 mA
d) 1.444E+00 mA
e) 1.589E+00 mA
10)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 2.54 Ω, R2= 1.15 Ω, and R2= 2.9 Ω. V1 and V3 are text 0.446 V and 3.39 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.744 V. What is the absolute value of the current through R1?
a) 1.285E-01 A
b) 1.414E-01 A
c) 1.555E-01 A
d) 1.711E-01 A
e) 1.882E-01 A




T1(5-10) Q1[edit]

1)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.6 Ω, R2= 1.3 Ω, and R2= 2.22 Ω. V1 and V3 are text 0.55 V and 3.18 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.743 V. What is the absolute value of the current through R1?
a) 1.721E-01 A
b) 1.893E-01 A
c) 2.082E-01 A
d) 2.291E-01 A
e) 2.520E-01 A

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=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
3)
Kirchhoff loop w external current.svg
Two sources of emf ε1=49.6 V, and ε2=19.3 V are oriented as shownin the circuit. The resistances are R1=4.87 kΩ and R2=2.81 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=4.37 mA and I4=1.01 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 3.055E+00 mA
b) 3.360E+00 mA
c) 3.696E+00 mA
d) 4.066E+00 mA
e) 4.472E+00 mA

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

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

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

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

6) 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

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

a) 3.214E+01 N/C
b) 3.536E+01 N/C
c) 3.889E+01 N/C
d) 4.278E+01 N/C
e) 4.706E+01 N/C
8)
Bandgenerator cropped.svg
A Van de Graff generator has a 124 cm diameter metal sphere that produces 270 kV near its surface. What is the excess charge on the sphere?
a) 1.539E+01 μC
b) 1.693E+01 μC
c) 1.863E+01 μC
d) 2.049E+01 μC
e) 2.254E+01 μC

9) 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
10)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 4.357E+01 degrees
b) 4.793E+01 degrees
c) 5.272E+01 degrees
d) 5.799E+01 degrees
e) 6.379E+01 degrees




T1(5-10) Q2[edit]

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

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

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

a) 1.231E+02 μC
b) 1.355E+02 μC
c) 1.490E+02 μC
d) 1.639E+02 μC
e) 1.803E+02 μC
3)
Bandgenerator cropped.svg
A Van de Graff generator has a 116 cm diameter metal sphere that produces 246 kV near its surface. What is the excess charge on the sphere?
a) 1.193E+01 μC
b) 1.312E+01 μC
c) 1.443E+01 μC
d) 1.588E+01 μC
e) 1.746E+01 μC

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=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
5)
Kirchhoff loop w external current.svg
Two sources of emf ε1=29.5 V, and ε2=11.0 V are oriented as shownin the circuit. The resistances are R1=2.45 kΩ and R2=1.96 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.03 mA and I4=0.783 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 2.247E+00 mA
b) 2.472E+00 mA
c) 2.719E+00 mA
d) 2.991E+00 mA
e) 3.290E+00 mA
6)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and .what angle does the force on make above the axis if , , and ?
a) 5.377E+01 degrees
b) 5.914E+01 degrees
c) 6.506E+01 degrees
d) 7.157E+01 degrees
e) 7.872E+01 degrees

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

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

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

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

9) 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
10)
KirchhoffLaws simple.svg
The resistances in the figure shown are R1= 1.1 Ω, R2= 1.55 Ω, and R2= 2.11 Ω. V1 and V3 are text 0.545 V and 3.22 V, respectively. But V2 is opposite to that shown in the figure, or, equivalently, V2=−0.744 V. What is the absolute value of the current through R1?
a) 1.886E-01 A
b) 2.075E-01 A
c) 2.282E-01 A
d) 2.510E-01 A
e) 2.761E-01 A




T1(5-10) R0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 5.014E-14 N
b) 5.515E-14 N
c) 6.067E-14 N
d) 6.674E-14 N
e) 7.341E-14 N
2)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.4 m (on axis) away from the loop's center?
a) 7.119E+09 N/C2
b) 7.831E+09 N/C2
c) 8.614E+09 N/C2
d) 9.476E+09 N/C2
e) 1.042E+10 N/C2
3)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.1 m, y=y1=4.8 m, z=z0=1.8 m, and z=z1=4.8 m. The surfaces in the yz plane each have area 11.0m2. Those in the xy plane have area 8.9m2 ,and those in the zx plane have area 7.2m2. An electric field has the xyz components (0, 5.9, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.901E+01 N·m2/C
b) 3.192E+01 N·m2/C
c) 3.511E+01 N·m2/C
d) 3.862E+01 N·m2/C
e) 4.248E+01 N·m2/C

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

a) 7.825E+02 N/C
b) 8.607E+02 N/C
c) 9.468E+02 N/C
d) 1.041E+03 N/C
e) 1.146E+03 N/C
5)
Bandgenerator cropped.svg
A Van de Graff generator has a 105 cm diameter metal sphere that produces 210 kV near its surface. What is the excess charge on the sphere?
a) 9.216E+00 μC
b) 1.014E+01 μC
c) 1.115E+01 μC
d) 1.227E+01 μC
e) 1.349E+01 μC

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

a) 1.371E+00 m
b) 1.509E+00 m
c) 1.659E+00 m
d) 1.825E+00 m
e) 2.008E+00 m
7)
Three cappies openstax example.svg
What is the net capacitance if C1=3.25 μF, C2=4.87 μF, and C3=2.19 μF in the configuration shown?
a) 4.139E+00 μF
b) 4.553E+00 μF
c) 5.008E+00 μF
d) 5.509E+00 μF
e) 6.060E+00 μF

8) Imagine a substance could be made into a very hot filament. Suppose the resitance is 5.89 Ω at a temperature of 43°C and that the temperature coefficient of expansion is 4.400E-03 (°C)−1). What is the resistance at a temperature of 398 °C?

a) 1.369E+01 Ω
b) 1.437E+01 Ω
c) 1.509E+01 Ω
d) 1.584E+01 Ω
e) 1.664E+01 Ω

9) 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

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

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




T1(5-10) R1[edit]

1)
Three cappies openstax example.svg
What is the net capacitance if C1=4.7 μF, C2=4.82 μF, and C3=3.61 μF in the configuration shown?
a) 5.445E+00 μF
b) 5.990E+00 μF
c) 6.589E+00 μF
d) 7.247E+00 μF
e) 7.972E+00 μF
2)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
a) 1.202E+09 N/C2
b) 1.322E+09 N/C2
c) 1.454E+09 N/C2
d) 1.599E+09 N/C2
e) 1.759E+09 N/C2

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

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

4) 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
5)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 3.391E-14 N
b) 3.731E-14 N
c) 4.104E-14 N
d) 4.514E-14 N
e) 4.965E-14 N

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

a) 7.029E+01 W
b) 7.731E+01 W
c) 8.505E+01 W
d) 9.355E+01 W
e) 1.029E+02 W
7)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.1 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=4.2 m, z=z0=1.1 m, and z=z1=4.5 m. The surfaces in the yz plane each have area 8.5m2. Those in the xy plane have area 2.8m2 ,and those in the zx plane have area 3.7m2. An electric field has the xyz components (0, 7.4, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.079E+01 N·m2/C
b) 2.287E+01 N·m2/C
c) 2.516E+01 N·m2/C
d) 2.768E+01 N·m2/C
e) 3.044E+01 N·m2/C
8)
Bandgenerator cropped.svg
A Van de Graff generator has a 95 cm diameter metal sphere that produces 190 kV near its surface. What is the excess charge on the sphere?
a) 9.129E+00 μC
b) 1.004E+01 μC
c) 1.105E+01 μC
d) 1.215E+01 μC
e) 1.337E+01 μC

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

a) 2.299E+00 m
b) 2.529E+00 m
c) 2.782E+00 m
d) 3.060E+00 m
e) 3.366E+00 m

10) 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




T1(5-10) R2[edit]

1)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.4 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=5.6 m, z=z0=1.7 m, and z=z1=4.5 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 6.0m2 ,and those in the zx plane have area 3.9m2. An electric field has the xyz components (0, 6.5, 9.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.740E+01 N·m2/C
b) 1.914E+01 N·m2/C
c) 2.106E+01 N·m2/C
d) 2.316E+01 N·m2/C
e) 2.548E+01 N·m2/C

2) 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
3)
Three cappies openstax example.svg
What is the net capacitance if C1=4.55 μF, C2=4.39 μF, and C3=3.32 μF in the configuration shown?
a) 4.173E+00 μF
b) 4.590E+00 μF
c) 5.049E+00 μF
d) 5.554E+00 μF
e) 6.110E+00 μF
4)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
a) 1.202E+09 N/C2
b) 1.322E+09 N/C2
c) 1.454E+09 N/C2
d) 1.599E+09 N/C2
e) 1.759E+09 N/C2
5)
Bandgenerator cropped.svg
A Van de Graff generator has a 95 cm diameter metal sphere that produces 187 kV near its surface. What is the excess charge on the sphere?
a) 9.883E+00 μC
b) 1.087E+01 μC
c) 1.196E+01 μC
d) 1.315E+01 μC
e) 1.447E+01 μC
6)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 1.308E-13 N
b) 1.439E-13 N
c) 1.583E-13 N
d) 1.741E-13 N
e) 1.915E-13 N

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

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

8) Three resistors, R1 = 0.87 Ω, and R2 = R2 = 2.0 Ω, are connected in parallel to a 8.57 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 6.977E+01 W
b) 7.674E+01 W
c) 8.442E+01 W
d) 9.286E+01 W
e) 1.021E+02 W

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

a) 1.234E+00 V
b) 1.358E+00 V
c) 1.493E+00 V
d) 1.643E+00 V
e) 1.807E+00 V

10) A non-conducting sphere of radius R=1.7 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.2 (r≤R) where a=3 nC·m-1.8. What is the magnitude of the electric field at a distance of 0.71 m from the center?

a) 3.797E+01 N/C
b) 4.177E+01 N/C
c) 4.595E+01 N/C
d) 5.054E+01 N/C
e) 5.560E+01 N/C




T1(5-10) S0[edit]

1)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.2 m (on axis) away from the loop's center?
a) 6.925E+09 N/C2
b) 7.617E+09 N/C2
c) 8.379E+09 N/C2
d) 9.217E+09 N/C2
e) 1.014E+10 N/C2

2)  
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) 3.722E-01 V/m2
b) 4.094E-01 V/m2
c) 4.504E-01 V/m2
d) 4.954E-01 V/m2
e) 5.450E-01 V/m2

3) 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
4)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.3 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.8 m, z=z0=1.7 m, and z=z1=5.8 m. The surfaces in the yz plane each have area 18.0m2. Those in the xy plane have area 5.6m2 ,and those in the zx plane have area 5.3m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 40° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.712E+01 N·m2/C
b) 4.083E+01 N·m2/C
c) 4.491E+01 N·m2/C
d) 4.940E+01 N·m2/C
e) 5.434E+01 N·m2/C

5) A 3 C charge is separated from a 11 C charge by distance of 12 cm. What is the work done by increasing this separation to 19 cm?

a) 8.278E-07 J
b) 9.106E-07 J
c) 1.002E-06 J
d) 1.102E-06 J
e) 1.212E-06 J

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

a) 1.544E+06 m/s
b) 1.698E+06 m/s
c) 1.868E+06 m/s
d) 2.055E+06 m/s
e) 2.260E+06 m/s
7)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=16.9 μF, C2=2.3 μF, and C3=4.67 μF. The voltage source provides ε=13.4 V. What is the charge on C1?
a) 6.011E+01 μC
b) 6.613E+01 μC
c) 7.274E+01 μC
d) 8.001E+01 μC
e) 8.801E+01 μC

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

a) 1.063E+02 A
b) 1.169E+02 A
c) 1.286E+02 A
d) 1.414E+02 A
e) 1.556E+02 A
9)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=10.8 V, R1=1.26 Ω, R2=5.65 Ω, and R3=14.8 Ω. What is the power dissipated by R2?
a) 8.240E+00 W
b) 9.064E+00 W
c) 9.970E+00 W
d) 1.097E+01 W
e) 1.206E+01 W
10)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 319 V. If the combined external and internal resistance is 231 &Omega and the capacitance is 64 mF, how long will it take for the capacitor's voltage to reach 175.0 V?
a) 9.718E+00 s
b) 1.069E+01 s
c) 1.176E+01 s
d) 1.293E+01 s
e) 1.423E+01 s




T1(5-10) S1[edit]

1)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=17.9 V, R1=1.68 Ω, R2=7.84 Ω, and R3=12.3 Ω. What is the power dissipated by R2?
a) 2.240E+01 W
b) 2.464E+01 W
c) 2.710E+01 W
d) 2.981E+01 W
e) 3.279E+01 W

2) 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

3)  
is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

a) 9.459E+00 V/m2
b) 1.040E+01 V/m2
c) 1.145E+01 V/m2
d) 1.259E+01 V/m2
e) 1.385E+01 V/m2

4) 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
5)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=17.1 μF, C2=2.87 μF, and C3=4.74 μF. The voltage source provides ε=6.63 V. What is the charge on C1?
a) 2.385E+01 μC
b) 2.623E+01 μC
c) 2.886E+01 μC
d) 3.174E+01 μC
e) 3.492E+01 μC

6) 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
7)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.1 m (on axis) away from the loop's center?
a) 8.336E+09 N/C2
b) 9.170E+09 N/C2
c) 1.009E+10 N/C2
d) 1.110E+10 N/C2
e) 1.220E+10 N/C2
8)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 543 V. If the combined external and internal resistance is 201 &Omega and the capacitance is 82 mF, how long will it take for the capacitor's voltage to reach 281.0 V?
a) 9.024E+00 s
b) 9.927E+00 s
c) 1.092E+01 s
d) 1.201E+01 s
e) 1.321E+01 s

9) 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
10)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.7 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.7 m, z=z0=1.4 m, and z=z1=4.8 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 7.1m2 ,and those in the zx plane have area 5.8m2. An electric field of magnitude 19 N/C has components in the y and z directions and is directed at 33° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.920E+01 N·m2/C
b) 7.612E+01 N·m2/C
c) 8.373E+01 N·m2/C
d) 9.210E+01 N·m2/C
e) 1.013E+02 N·m2/C




T1(5-10) S2[edit]

1)
DC circuit 3 resistors 1 voltage source.svg
In the circuit shown V=18.4 V, R1=1.64 Ω, R2=6.56 Ω, and R3=12.8 Ω. What is the power dissipated by R2?
a) 2.470E+01 W
b) 2.717E+01 W
c) 2.989E+01 W
d) 3.288E+01 W
e) 3.617E+01 W
2)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=19.9 μF, C2=2.25 μF, and C3=4.75 μF. The voltage source provides ε=6.93 V. What is the charge on C1?
a) 2.451E+01 μC
b) 2.696E+01 μC
c) 2.966E+01 μC
d) 3.262E+01 μC
e) 3.589E+01 μC

3) 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
4)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.6 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.6 m, z=z0=1.2 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 11.0m2 ,and those in the zx plane have area 8.3m2. An electric field of magnitude 9 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) 4.809E+01 N·m2/C
b) 5.290E+01 N·m2/C
c) 5.819E+01 N·m2/C
d) 6.401E+01 N·m2/C
e) 7.041E+01 N·m2/C

5) 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

6) What is the average current involved when a truck battery sets in motion 738 C of charge in 3.87 s while starting an engine?

a) 1.907E+02 A
b) 2.098E+02 A
c) 2.307E+02 A
d) 2.538E+02 A
e) 2.792E+02 A
7)
Quizbank question loop field on axis.svg
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.99 m (on axis) away from the loop's center?
a) 2.429E+09 N/C2
b) 2.672E+09 N/C2
c) 2.939E+09 N/C2
d) 3.233E+09 N/C2
e) 3.556E+09 N/C2

8) Calculate the final speed of a free electron accelerated from rest through a potential difference of 81 V.

a) 4.411E+06 m/s
b) 4.853E+06 m/s
c) 5.338E+06 m/s
d) 5.872E+06 m/s
e) 6.459E+06 m/s

9)  
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) 8.924E-01 V/m2
b) 9.816E-01 V/m2
c) 1.080E+00 V/m2
d) 1.188E+00 V/m2
e) 1.307E+00 V/m2
10)
RC switch.svg
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 554 V. If the combined external and internal resistance is 228 &Omega and the capacitance is 93 mF, how long will it take for the capacitor's voltage to reach 450.0 V?
a) 3.224E+01 s
b) 3.547E+01 s
c) 3.902E+01 s
d) 4.292E+01 s
e) 4.721E+01 s




T1(5-10) T0[edit]

1)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 9.750E-15 N
b) 1.072E-14 N
c) 1.180E-14 N
d) 1.298E-14 N
e) 1.427E-14 N

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

a) 1.694E+02 N/C
b) 1.864E+02 N/C
c) 2.050E+02 N/C
d) 2.255E+02 N/C
e) 2.480E+02 N/C

3) 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
4)
Box in 2D xyz aligned.svg
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.4 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=5.6 m, z=z0=1.7 m, and z=z1=4.5 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 6.0m2 ,and those in the zx plane have area 3.9m2. An electric field has the xyz components (0, 6.5, 9.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.740E+01 N·m2/C
b) 1.914E+01 N·m2/C
c) 2.106E+01 N·m2/C
d) 2.316E+01 N·m2/C
e) 2.548E+01 N·m2/C

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

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

6) 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
7)
DC circuit 3 cappies1 voltage source.svg
In the figure shown C1=19.2 μF, C2=2.24 μF, and C3=4.93 μF. The voltage source provides ε=11.7 V. What is the energy stored in C2?
a) 1.303E+01 μJ
b) 1.434E+01 μJ
c) 1.577E+01 μJ
d) 1.735E+01 μJ
e) 1.908E+01 μJ

8) Imagine a substance could be made into a very hot filament. Suppose the resitance is 1.52 Ω at a temperature of 45°C and that the temperature coefficient of expansion is 4.330E-03 (°C)−1). What is the resistance at a temperature of 479 °C?

a) 3.970E+00 Ω
b) 4.168E+00 Ω
c) 4.376E+00 Ω
d) 4.595E+00 Ω
e) 4.825E+00 Ω
9)
Kirchhoff loop w external current.svg
Two sources of emf ε1=45.3 V, and ε2=13.3 V are oriented as shownin the circuit. The resistances are R1=3.82 kΩ and R2=1.5 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=6.17 mA and I4=1.11 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 1.177E+01 V
b) 1.295E+01 V
c) 1.424E+01 V
d) 1.567E+01 V
e) 1.723E+01 V
10)
Kirchhoff loop w external current.svg
Two sources of emf ε1=13.6 V, and ε2=6.53 V are oriented as shownin the circuit. The resistances are R1=2.89 kΩ and R2=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.11 mA and I4=0.311 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 7.264E-01 mA
b) 7.990E-01 mA
c) 8.789E-01 mA
d) 9.668E-01 mA
e) 1.063E+00 mA




T1(5-10) T1[edit]

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

a) 3.274E-06 J
b) 3.601E-06 J
c) 3.961E-06 J
d) 4.358E-06 J
e) 4.793E-06 J
2)
Three charges at corners of rectangle.svg
Three small charged objects are placed as shown, where , and . What is the magnitude of the net force on if , , and ?
a) 3.391E-14 N
b) 3.731E-14 N
c) 4.104E-14 N
d) 4.514E-14 N
e) 4.965E-14 N
3)
Kirchhoff loop w external current.svg
Two sources of emf ε1=20.6 V, and ε2=9.53 V are oriented as shownin the circuit. The resistances are R1=5.46 kΩ and R2=2.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.5 mA and I4=0.415 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.085E+00 mA
b) 1.194E+00 mA
c) 1.313E+00 mA
d) 1.444E+00 mA
e) 1.589E+00 mA

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

a) 6.565E-01 mm
b) 7.550E-01 mm
c) 8.683E-01 mm
d) 9.985E-01 mm
e) 1.148E+00 mm
5)
Box in 2D xyz aligned.svg