# Quizbank/Electricity and Magnetism (calculus based)/c07

calcPhyEMq/c07 ID153287923206 (Study guide)

Exams:

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

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### c07 A0

1)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 4.235E+01 J
b) 4.659E+01 J
c) 5.125E+01 J
d) 5.637E+01 J
e) 6.201E+01 J
2)
An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 μC charge that gets between the plates?
a) 1.767E-01 N
b) 1.944E-01 N
c) 2.138E-01 N
d) 2.352E-01 N
e) 2.587E-01 N

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

a) 3.570E+05 J
b) 3.927E+05 J
c) 4.320E+05 J
d) 4.752E+05 J
e) 5.227E+05 J

4) 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

#### c07 A1

1) 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
2)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 3.116E+01 J
b) 3.427E+01 J
c) 3.770E+01 J
d) 4.147E+01 J
e) 4.562E+01 J

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

a) 3.570E+05 J
b) 3.927E+05 J
c) 4.320E+05 J
d) 4.752E+05 J
e) 5.227E+05 J
4)
An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 μC charge that gets between the plates?
a) 1.767E-01 N
b) 1.944E-01 N
c) 2.138E-01 N
d) 2.352E-01 N
e) 2.587E-01 N

#### c07 A2

1)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=6 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
a) 2.343E+01 J
b) 2.577E+01 J
c) 2.835E+01 J
d) 3.118E+01 J
e) 3.430E+01 J

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

a) 8.754E-07 J
b) 9.630E-07 J
c) 1.059E-06 J
d) 1.165E-06 J
e) 1.282E-06 J
4)
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

### c07 B0

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) 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

3) 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
4)
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

#### c07 B1

1)
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

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

a) 3.570E+05 J
b) 3.927E+05 J
c) 4.320E+05 J
d) 4.752E+05 J
e) 5.227E+05 J

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 11 V.

a) 1.626E+06 m/s
b) 1.788E+06 m/s
c) 1.967E+06 m/s
d) 2.164E+06 m/s
e) 2.380E+06 m/s

4) 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

#### c07 B2

1) If a 29 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=81 V is x2 + y2 + z2 = R2, where R=

a) 3.218E+00 m
b) 3.540E+00 m
c) 3.893E+00 m
d) 4.283E+00 m
e) 4.711E+00 m

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

a) 9.016E+04 J
b) 9.917E+04 J
c) 1.091E+05 J
d) 1.200E+05 J
e) 1.320E+05 J

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

a) 3.288E+06 m/s
b) 3.617E+06 m/s
c) 3.979E+06 m/s
d) 4.376E+06 m/s
e) 4.814E+06 m/s
4)
A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What is the excess charge on the sphere?
a) 1.205E+01 μC
b) 1.326E+01 μC
c) 1.459E+01 μC
d) 1.604E+01 μC
e) 1.765E+01 μC

### c07 C0

1)
An electron gun has parallel plates separated by 5.02 cm and gives electrons 16 keV of energy. What force would the field between the plates exert on a 0.609 μC charge that gets between the plates?
a) 1.604E-01 N
b) 1.765E-01 N
c) 1.941E-01 N
d) 2.135E-01 N
e) 2.349E-01 N
2)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.650E+01 J
b) 6.215E+01 J
c) 6.837E+01 J
d) 7.520E+01 J
e) 8.272E+01 J
3)
A Van de Graff generator has a 114 cm diameter metal sphere that produces 289 kV near its surface. What is the excess charge on the sphere?
a) 1.833E+01 μC
b) 2.016E+01 μC
c) 2.218E+01 μC
d) 2.440E+01 μC
e) 2.684E+01 μC

4) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?

a) 4.391E-01 mm
b) 5.049E-01 mm
c) 5.806E-01 mm
d) 6.677E-01 mm
e) 7.679E-01 mm

#### c07 C1

1)
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

2) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.310E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

a) 5.814E-01 mm
b) 6.686E-01 mm
c) 7.689E-01 mm
d) 8.842E-01 mm
e) 1.017E+00 mm
3)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=7 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 4.438E+01 J
b) 4.882E+01 J
c) 5.370E+01 J
d) 5.907E+01 J
e) 6.498E+01 J
4)
An electron gun has parallel plates separated by 3.68 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.181 μC charge that gets between the plates?
a) 2.656E-01 N
b) 2.922E-01 N
c) 3.214E-01 N
d) 3.535E-01 N
e) 3.889E-01 N

#### c07 C2

1)
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
2)
An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 μC charge that gets between the plates?
a) 3.977E-01 N
b) 4.374E-01 N
c) 4.812E-01 N
d) 5.293E-01 N
e) 5.822E-01 N
3)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=5 μC, q3=7 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
a) 3.910E+01 J
b) 4.301E+01 J
c) 4.731E+01 J
d) 5.204E+01 J
e) 5.725E+01 J

4) Two large parallel conducting plates are separated by 6.86 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 79 V?

a) 6.100E-01 mm
b) 7.015E-01 mm
c) 8.067E-01 mm
d) 9.277E-01 mm
e) 1.067E+00 mm

### c07 D0

1)
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

2) Assume that a 24 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (13 cm, 27°).

a) 5.540E+02 V
b) 6.095E+02 V
c) 6.704E+02 V
d) 7.374E+02 V
e) 8.112E+02 V

3) 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
4)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 2.617E+01 J
b) 2.879E+01 J
c) 3.167E+01 J
d) 3.484E+01 J
e) 3.832E+01 J

#### c07 D1

1)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.178E+01 J
b) 5.696E+01 J
c) 6.266E+01 J
d) 6.892E+01 J
e) 7.582E+01 J

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

a) 3.022E+06 m/s
b) 3.324E+06 m/s
c) 3.657E+06 m/s
d) 4.023E+06 m/s
e) 4.425E+06 m/s
3)
An electron gun has parallel plates separated by 3.39 cm and gives electrons 57 keV of energy. What force would the field between the plates exert on a 0.218 μC charge that gets between the plates?
a) 3.029E-01 N
b) 3.332E-01 N
c) 3.665E-01 N
d) 4.032E-01 N
e) 4.435E-01 N

4) Assume that a 15 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 (14 cm, 77°).

a) 1.184E+03 V
b) 1.302E+03 V
c) 1.432E+03 V
d) 1.576E+03 V
e) 1.733E+03 V

#### c07 D2

1) Assume that a 17 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (6 cm, 0°) and P2 is at (15 cm, 48°).

a) 1.528E+03 V
b) 1.681E+03 V
c) 1.849E+03 V
d) 2.034E+03 V
e) 2.237E+03 V
2)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=5 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 3.444E+01 J
b) 3.789E+01 J
c) 4.168E+01 J
d) 4.585E+01 J
e) 5.043E+01 J

3) Calculate the 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
4)
An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 μC charge that gets between the plates?
a) 1.767E-01 N
b) 1.944E-01 N
c) 2.138E-01 N
d) 2.352E-01 N
e) 2.587E-01 N

### c07 E0

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

2) 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) 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

4) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=

a) 2.420E+00 m
b) 2.662E+00 m
c) 2.928E+00 m
d) 3.221E+00 m
e) 3.543E+00 m

#### c07 E1

1) 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
2)
An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 μC charge that gets between the plates?
a) 1.767E-01 N
b) 1.944E-01 N
c) 2.138E-01 N
d) 2.352E-01 N
e) 2.587E-01 N

3) Assume that a 4 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 (15 cm, 59°).

a) 3.961E+02 V
b) 4.358E+02 V
c) 4.793E+02 V
d) 5.273E+02 V
e) 5.800E+02 V

4) 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

#### c07 E2

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

a) 5.102E+06 m/s
b) 5.612E+06 m/s
c) 6.173E+06 m/s
d) 6.791E+06 m/s
e) 7.470E+06 m/s

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

a) 3.581E+02 V
b) 3.939E+02 V
c) 4.333E+02 V
d) 4.767E+02 V
e) 5.243E+02 V
3)
An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 μC charge that gets between the plates?
a) 1.767E-01 N
b) 1.944E-01 N
c) 2.138E-01 N
d) 2.352E-01 N
e) 2.587E-01 N

4) 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

### c07 F0

1) 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

2) 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

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

a) 1.556E-07 J
b) 1.711E-07 J
c) 1.882E-07 J
d) 2.070E-07 J
e) 2.277E-07 J
4)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.31 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.47 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
a) 8.672E+02 V
b) 9.539E+02 V
c) 1.049E+03 V
d) 1.154E+03 V
e) 1.270E+03 V

#### c07 F1

1) A 5 C charge is separated from a 9 C charge by distance of 14 cm. What is the work done by increasing this separation to 18 cm?

a) 4.385E-07 J
b) 4.823E-07 J
c) 5.306E-07 J
d) 5.836E-07 J
e) 6.420E-07 J
2)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.86 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
a) 6.325E+02 V
b) 6.957E+02 V
c) 7.653E+02 V
d) 8.418E+02 V
e) 9.260E+02 V

3) 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

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

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

#### c07 F2

1) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?

a) 4.723E-01 mm
b) 5.432E-01 mm
c) 6.246E-01 mm
d) 7.183E-01 mm
e) 8.261E-01 mm
2)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.
a) 5.134E+02 V
b) 5.648E+02 V
c) 6.212E+02 V
d) 6.834E+02 V
e) 7.517E+02 V

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

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

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

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

### c07 G0

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

a) 2.701E+00 m
b) 2.971E+00 m
c) 3.268E+00 m
d) 3.595E+00 m
e) 3.955E+00 m
2)
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

3) 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
4)
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

#### c07 G1

1) 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

2) 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
3)
An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 μC charge that gets between the plates?
a) 1.767E-01 N
b) 1.944E-01 N
c) 2.138E-01 N
d) 2.352E-01 N
e) 2.587E-01 N
4)
A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What is the excess charge on the sphere?
a) 1.032E+01 μC
b) 1.135E+01 μC
c) 1.249E+01 μC
d) 1.374E+01 μC
e) 1.511E+01 μC

#### c07 G2

1)
An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 μC charge that gets between the plates?
a) 3.977E-01 N
b) 4.374E-01 N
c) 4.812E-01 N
d) 5.293E-01 N
e) 5.822E-01 N

2) 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

3) 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
4)
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

### c07 H0

1)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 4.554E+01 J
b) 5.009E+01 J
c) 5.510E+01 J
d) 6.061E+01 J
e) 6.667E+01 J

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

a) 3.288E+06 m/s
b) 3.617E+06 m/s
c) 3.979E+06 m/s
d) 4.376E+06 m/s
e) 4.814E+06 m/s
3)
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
4)
A Van de Graff generator has a 119 cm diameter metal sphere that produces 248 kV near its surface. What is the excess charge on the sphere?
a) 1.234E+01 μC
b) 1.357E+01 μC
c) 1.493E+01 μC
d) 1.642E+01 μC
e) 1.806E+01 μC

#### c07 H1

1)
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

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

a) 2.802E+06 m/s
b) 3.082E+06 m/s
c) 3.390E+06 m/s
d) 3.729E+06 m/s
e) 4.102E+06 m/s
3)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=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
4)
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

#### c07 H2

1)
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)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.31 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.47 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
a) 8.672E+02 V
b) 9.539E+02 V
c) 1.049E+03 V
d) 1.154E+03 V
e) 1.270E+03 V

3) 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
4)
Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.) The charges are q1=4 μC, q2=7 μC, q3=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

### c07 I0

1) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?

a) 4.723E-01 mm
b) 5.432E-01 mm
c) 6.246E-01 mm
d) 7.183E-01 mm
e) 8.261E-01 mm

2) A 5 C charge is separated from a 9 C charge by distance of 14 cm. What is the work done by increasing this separation to 18 cm?

a) 4.385E-07 J
b) 4.823E-07 J
c) 5.306E-07 J
d) 5.836E-07 J
e) 6.420E-07 J

3) 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

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

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

#### c07 I1

1) 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

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

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

3) Assume that a 14 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 (15 cm, 22°).

a) 5.592E+02 V
b) 6.151E+02 V
c) 6.767E+02 V
d) 7.443E+02 V
e) 8.188E+02 V

4) Two large parallel conducting plates are separated by 8.7 mm. Equal and opposite surface charges of 7.220E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 67 V?

a) 4.698E-01 mm
b) 5.402E-01 mm
c) 6.213E-01 mm
d) 7.145E-01 mm
e) 8.216E-01 mm

#### c07 I2

1) 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

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

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

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

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

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

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

### c07 J0

1)
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

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

a) 6.465E-07 J
b) 7.111E-07 J
c) 7.822E-07 J
d) 8.604E-07 J
e) 9.465E-07 J

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

a) 1.200E+05 J
b) 1.320E+05 J
c) 1.452E+05 J
d) 1.597E+05 J
e) 1.757E+05 J

4) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (8 cm, 0°) and P2 is at (14 cm, 34°).

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

#### c07 J1

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

a) 4.853E-06 J
b) 5.339E-06 J
c) 5.872E-06 J
d) 6.460E-06 J
e) 7.106E-06 J
2)
A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.
a) 4.104E+02 V
b) 4.514E+02 V
c) 4.965E+02 V
d) 5.462E+02 V
e) 6.008E+02 V

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

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

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

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

#### c07 J2

1)
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

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

a) 5.880E+05 J
b) 6.468E+05 J
c) 7.115E+05 J
d) 7.826E+05 J
e) 8.609E+05 J

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

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

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

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

### c07 K0

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

a) 1.942E+06 m/s
b) 2.137E+06 m/s
c) 2.350E+06 m/s
d) 2.585E+06 m/s
e) 2.844E+06 m/s
2)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 4.235E+01 J
b) 4.659E+01 J
c) 5.125E+01 J
d) 5.637E+01 J
e) 6.201E+01 J
3)
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

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

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

#### c07 K1

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

a) 8.514E-01 mm
b) 9.791E-01 mm
c) 1.126E+00 mm
d) 1.295E+00 mm
e) 1.489E+00 mm
2)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 3.116E+01 J
b) 3.427E+01 J
c) 3.770E+01 J
d) 4.147E+01 J
e) 4.562E+01 J

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

a) 1.698E+06 m/s
b) 1.868E+06 m/s
c) 2.055E+06 m/s
d) 2.260E+06 m/s
e) 2.486E+06 m/s
4)
A Van de Graff generator has a 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

#### c07 K2

1)
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=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.650E+01 J
b) 6.215E+01 J
c) 6.837E+01 J
d) 7.520E+01 J
e) 8.272E+01 J

2) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.310E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

a) 5.814E-01 mm
b) 6.686E-01 mm
c) 7.689E-01 mm
d) 8.842E-01 mm
e) 1.017E+00 mm
3)
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

4) Calculate the final speed of a free electron accelerated from rest through a potential difference of 11 V.

a) 1.626E+06 m/s
b) 1.788E+06 m/s
c) 1.967E+06 m/s
d) 2.164E+06 m/s
e) 2.380E+06 m/s

### c07 L0

1)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.178E+01 J
b) 5.696E+01 J
c) 6.266E+01 J
d) 6.892E+01 J
e) 7.582E+01 J
2)
An electron gun has parallel plates separated by 5.38 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.427 μC charge that gets between the plates?
a) 3.542E-01 N
b) 3.896E-01 N
c) 4.286E-01 N
d) 4.714E-01 N
e) 5.186E-01 N

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

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

4) Assume that a 14 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 (15 cm, 22°).

a) 5.592E+02 V
b) 6.151E+02 V
c) 6.767E+02 V
d) 7.443E+02 V
e) 8.188E+02 V

#### c07 L1

1) Assume that a 4 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 (15 cm, 59°).

a) 3.961E+02 V
b) 4.358E+02 V
c) 4.793E+02 V
d) 5.273E+02 V
e) 5.800E+02 V

2) 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
3)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.650E+01 J
b) 6.215E+01 J
c) 6.837E+01 J
d) 7.520E+01 J
e) 8.272E+01 J
4)
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

#### c07 L2

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

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

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)
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
4)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 2.300E+01 J
b) 2.530E+01 J
c) 2.783E+01 J
d) 3.061E+01 J
e) 3.367E+01 J

### c07 M0

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

a) 4.853E-06 J
b) 5.339E-06 J
c) 5.872E-06 J
d) 6.460E-06 J
e) 7.106E-06 J
2)
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

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

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

4) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?

a) 4.723E-01 mm
b) 5.432E-01 mm
c) 6.246E-01 mm
d) 7.183E-01 mm
e) 8.261E-01 mm

#### c07 M1

1) Two large parallel conducting plates are separated by 9.58 mm. Equal and opposite surface charges of 7.360E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 84 V?

a) 6.644E-01 mm
b) 7.641E-01 mm
c) 8.787E-01 mm
d) 1.011E+00 mm
e) 1.162E+00 mm
2)
A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What is the excess charge on the sphere?
a) 1.032E+01 μC
b) 1.135E+01 μC
c) 1.249E+01 μC
d) 1.374E+01 μC
e) 1.511E+01 μC

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) 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

#### c07 M2

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

a) 6.525E-01 mm
b) 7.504E-01 mm
c) 8.629E-01 mm
d) 9.923E-01 mm
e) 1.141E+00 mm

2) A 5 C charge is separated from a 9 C charge by distance of 14 cm. What is the work done by increasing this separation to 18 cm?

a) 4.385E-07 J
b) 4.823E-07 J
c) 5.306E-07 J
d) 5.836E-07 J
e) 6.420E-07 J
3)
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

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

### c07 N0

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

a) 1.556E-07 J
b) 1.711E-07 J
c) 1.882E-07 J
d) 2.070E-07 J
e) 2.277E-07 J
2)
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) Assume that a 16 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (6 cm, 0°) and P2 is at (14 cm, 27°).

a) 9.354E+02 V
b) 1.029E+03 V
c) 1.132E+03 V
d) 1.245E+03 V
e) 1.370E+03 V

4) 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

#### c07 N1

1) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?

a) 4.723E-01 mm
b) 5.432E-01 mm
c) 6.246E-01 mm
d) 7.183E-01 mm
e) 8.261E-01 mm

2) A 5 C charge is separated from a 9 C charge by distance of 14 cm. What is the work done by increasing this separation to 18 cm?

a) 4.385E-07 J
b) 4.823E-07 J
c) 5.306E-07 J
d) 5.836E-07 J
e) 6.420E-07 J
3)
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

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

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

#### c07 N2

1) 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

2) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?

a) 4.391E-01 mm
b) 5.049E-01 mm
c) 5.806E-01 mm
d) 6.677E-01 mm
e) 7.679E-01 mm
3)
An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 μC charge that gets between the plates?
a) 8.206E-01 N
b) 9.027E-01 N
c) 9.930E-01 N
d) 1.092E+00 N
e) 1.201E+00 N

4) Assume that a 16 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (6 cm, 0°) and P2 is at (14 cm, 27°).

a) 9.354E+02 V
b) 1.029E+03 V
c) 1.132E+03 V
d) 1.245E+03 V
e) 1.370E+03 V

### c07 O0

1) 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

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

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

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

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

4) 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

#### c07 O1

1) 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

2) 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

3) 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

4) 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

#### c07 O2

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

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

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

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

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

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

4) 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

### c07 P0

1) 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
2)
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.
a) 5.645E+02 V
b) 6.210E+02 V
c) 6.831E+02 V
d) 7.514E+02 V
e) 8.266E+02 V

3) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.310E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

a) 5.814E-01 mm
b) 6.686E-01 mm
c) 7.689E-01 mm
d) 8.842E-01 mm
e) 1.017E+00 mm
4)
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

#### c07 P1

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

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

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

a) 6.525E-01 mm
b) 7.504E-01 mm
c) 8.629E-01 mm
d) 9.923E-01 mm
e) 1.141E+00 mm
3)
A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.
a) 4.104E+02 V
b) 4.514E+02 V
c) 4.965E+02 V
d) 5.462E+02 V
e) 6.008E+02 V
4)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 4.554E+01 J
b) 5.009E+01 J
c) 5.510E+01 J
d) 6.061E+01 J
e) 6.667E+01 J

#### c07 P2

1)
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

2) 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
3)
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.51 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.
a) 5.261E+02 V
b) 5.787E+02 V
c) 6.365E+02 V
d) 7.002E+02 V
e) 7.702E+02 V

4) Assume that a 24 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (13 cm, 27°).

a) 5.540E+02 V
b) 6.095E+02 V
c) 6.704E+02 V
d) 7.374E+02 V
e) 8.112E+02 V

### c07 Q0

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

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

2) 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

3) 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
4)
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

#### c07 Q1

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

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

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

a) 3.115E+05 J
b) 3.426E+05 J
c) 3.769E+05 J
d) 4.145E+05 J
e) 4.560E+05 J
3)
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

4) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=

a) 2.420E+00 m
b) 2.662E+00 m
c) 2.928E+00 m
d) 3.221E+00 m
e) 3.543E+00 m

#### c07 Q2

1)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.86 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
a) 6.325E+02 V
b) 6.957E+02 V
c) 7.653E+02 V
d) 8.418E+02 V
e) 9.260E+02 V

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

a) 9.016E+04 J
b) 9.917E+04 J
c) 1.091E+05 J
d) 1.200E+05 J
e) 1.320E+05 J

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

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

4) Assume that a 4 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 (15 cm, 59°).

a) 3.961E+02 V
b) 4.358E+02 V
c) 4.793E+02 V
d) 5.273E+02 V
e) 5.800E+02 V

### c07 R0

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

3) When a 3.21 V battery operates a 2.38 W bulb, how many electrons pass through it each second?

a) 3.161E+18 electrons
b) 3.477E+18 electrons
c) 3.825E+18 electrons
d) 4.207E+18 electrons
e) 4.628E+18 electrons
4)
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=5 μC, q3=7 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
a) 3.910E+01 J
b) 4.301E+01 J
c) 4.731E+01 J
d) 5.204E+01 J
e) 5.725E+01 J

#### c07 R1

1)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=6 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
a) 2.343E+01 J
b) 2.577E+01 J
c) 2.835E+01 J
d) 3.118E+01 J
e) 3.430E+01 J

2) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?

a) 1.749E+18 electrons
b) 1.924E+18 electrons
c) 2.117E+18 electrons
d) 2.328E+18 electrons
e) 2.561E+18 electrons

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

a) 3.365E+06 m/s
b) 3.701E+06 m/s
c) 4.072E+06 m/s
d) 4.479E+06 m/s
e) 4.927E+06 m/s
4)
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

#### c07 R2

1)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.86 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
a) 6.325E+02 V
b) 6.957E+02 V
c) 7.653E+02 V
d) 8.418E+02 V
e) 9.260E+02 V
2)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 2.617E+01 J
b) 2.879E+01 J
c) 3.167E+01 J
d) 3.484E+01 J
e) 3.832E+01 J

3) 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

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

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

### c07 S0

1) 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
2)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 2.617E+01 J
b) 2.879E+01 J
c) 3.167E+01 J
d) 3.484E+01 J
e) 3.832E+01 J
3)
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

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

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

#### c07 S1

1)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 2.617E+01 J
b) 2.879E+01 J
c) 3.167E+01 J
d) 3.484E+01 J
e) 3.832E+01 J

2) Two large parallel conducting plates are separated by 8.7 mm. Equal and opposite surface charges of 7.220E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 67 V?

a) 4.698E-01 mm
b) 5.402E-01 mm
c) 6.213E-01 mm
d) 7.145E-01 mm
e) 8.216E-01 mm
3)
A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What is the excess charge on the sphere?
a) 1.500E+01 μC
b) 1.650E+01 μC
c) 1.815E+01 μC
d) 1.997E+01 μC
e) 2.196E+01 μC

4) 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

#### c07 S2

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

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

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

a) 3.288E+06 m/s
b) 3.617E+06 m/s
c) 3.979E+06 m/s
d) 4.376E+06 m/s
e) 4.814E+06 m/s
3)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 3.116E+01 J
b) 3.427E+01 J
c) 3.770E+01 J
d) 4.147E+01 J
e) 4.562E+01 J
4)
A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What is the excess charge on the sphere?
a) 1.500E+01 μC
b) 1.650E+01 μC
c) 1.815E+01 μC
d) 1.997E+01 μC
e) 2.196E+01 μC

### c07 T0

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

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

2) 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

3) Assume that a 15 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 (14 cm, 77°).

a) 1.184E+03 V
b) 1.302E+03 V
c) 1.432E+03 V
d) 1.576E+03 V
e) 1.733E+03 V
4)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 4.554E+01 J
b) 5.009E+01 J
c) 5.510E+01 J
d) 6.061E+01 J
e) 6.667E+01 J

#### c07 T1

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

a) 6.465E-07 J
b) 7.111E-07 J
c) 7.822E-07 J
d) 8.604E-07 J
e) 9.465E-07 J
2)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=5 μC, q3=7 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
a) 3.910E+01 J
b) 4.301E+01 J
c) 4.731E+01 J
d) 5.204E+01 J
e) 5.725E+01 J

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

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

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

a) 3.365E+06 m/s
b) 3.701E+06 m/s
c) 4.072E+06 m/s
d) 4.479E+06 m/s
e) 4.927E+06 m/s

#### c07 T2

1) Assume that a 14 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 (15 cm, 22°).

a) 5.592E+02 V
b) 6.151E+02 V
c) 6.767E+02 V
d) 7.443E+02 V
e) 8.188E+02 V
2)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=3 μC, q2=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

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

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

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

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

### c07 U0

1)
A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What is the excess charge on the sphere?
a) 1.032E+01 μC
b) 1.135E+01 μC
c) 1.249E+01 μC
d) 1.374E+01 μC
e) 1.511E+01 μC

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

a) 6.525E-01 mm
b) 7.504E-01 mm
c) 8.629E-01 mm
d) 9.923E-01 mm
e) 1.141E+00 mm
3)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 4.554E+01 J
b) 5.009E+01 J
c) 5.510E+01 J
d) 6.061E+01 J
e) 6.667E+01 J

4) A 12.0 V battery can move 31,000 C of charge. How many Joules does it deliver?

a) 2.541E+05 J
b) 2.795E+05 J
c) 3.074E+05 J
d) 3.382E+05 J
e) 3.720E+05 J

#### c07 U1

1)
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

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

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

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

a) 8.793E-01 mm
b) 1.011E+00 mm
c) 1.163E+00 mm
d) 1.337E+00 mm
e) 1.538E+00 mm
4)
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

#### c07 U2

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

a) 2.615E+05 J
b) 2.876E+05 J
c) 3.164E+05 J
d) 3.480E+05 J
e) 3.828E+05 J

2) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?

a) 4.391E-01 mm
b) 5.049E-01 mm
c) 5.806E-01 mm
d) 6.677E-01 mm
e) 7.679E-01 mm
3)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.650E+01 J
b) 6.215E+01 J
c) 6.837E+01 J
d) 7.520E+01 J
e) 8.272E+01 J
4)
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

### c07 V0

1) 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

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

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

3) If a 20 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=70 V is x2 + y2 + z2 = R2, where R=

a) 1.754E+00 m
b) 1.929E+00 m
c) 2.122E+00 m
d) 2.334E+00 m
e) 2.568E+00 m

4) Assume that a 24 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (13 cm, 27°).

a) 5.540E+02 V
b) 6.095E+02 V
c) 6.704E+02 V
d) 7.374E+02 V
e) 8.112E+02 V

#### c07 V1

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

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

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

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

4) 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

#### c07 V2

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

a) 8.360E+00 m
b) 9.196E+00 m
c) 1.012E+01 m
d) 1.113E+01 m
e) 1.224E+01 m

2) 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

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

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

4) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.310E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

a) 5.814E-01 mm
b) 6.686E-01 mm
c) 7.689E-01 mm
d) 8.842E-01 mm
e) 1.017E+00 mm

### c07 W0

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

a) 2.890E-06 J
b) 3.179E-06 J
c) 3.497E-06 J
d) 3.846E-06 J
e) 4.231E-06 J
3)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 2.300E+01 J
b) 2.530E+01 J
c) 2.783E+01 J
d) 3.061E+01 J
e) 3.367E+01 J
4)
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

#### c07 W1

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

a) 1.556E-07 J
b) 1.711E-07 J
c) 1.882E-07 J
d) 2.070E-07 J
e) 2.277E-07 J
2)
An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 μC charge that gets between the plates?
a) 1.767E-01 N
b) 1.944E-01 N
c) 2.138E-01 N
d) 2.352E-01 N
e) 2.587E-01 N
3)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 4.554E+01 J
b) 5.009E+01 J
c) 5.510E+01 J
d) 6.061E+01 J
e) 6.667E+01 J

4) 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

#### c07 W2

1) 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

2) 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
3)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=5 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 3.444E+01 J
b) 3.789E+01 J
c) 4.168E+01 J
d) 4.585E+01 J
e) 5.043E+01 J
4)
An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 μC charge that gets between the plates?
a) 8.430E-01 N
b) 9.273E-01 N
c) 1.020E+00 N
d) 1.122E+00 N
e) 1.234E+00 N

### c07 X0

1) If a 20 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=70 V is x2 + y2 + z2 = R2, where R=

a) 1.754E+00 m
b) 1.929E+00 m
c) 2.122E+00 m
d) 2.334E+00 m
e) 2.568E+00 m

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

a) 1.439E+18 electrons
b) 1.583E+18 electrons
c) 1.742E+18 electrons
d) 1.916E+18 electrons
e) 2.107E+18 electrons
3)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 2.617E+01 J
b) 2.879E+01 J
c) 3.167E+01 J
d) 3.484E+01 J
e) 3.832E+01 J

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

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

#### c07 X1

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

a) 1.439E+18 electrons
b) 1.583E+18 electrons
c) 1.742E+18 electrons
d) 1.916E+18 electrons
e) 2.107E+18 electrons

2) If a 20 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=70 V is x2 + y2 + z2 = R2, where R=

a) 1.754E+00 m
b) 1.929E+00 m
c) 2.122E+00 m
d) 2.334E+00 m
e) 2.568E+00 m

3) Assume that a 22 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (12 cm, 53°).

a) 5.492E+02 V
b) 6.042E+02 V
c) 6.646E+02 V
d) 7.310E+02 V
e) 8.041E+02 V
4)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
a) 3.116E+01 J
b) 3.427E+01 J
c) 3.770E+01 J
d) 4.147E+01 J
e) 4.562E+01 J

#### c07 X2

1) 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
2)
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

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

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

4) 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

### c07 Y0

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

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

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

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

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

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

4) Assume that a 4 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 (15 cm, 59°).

a) 3.961E+02 V
b) 4.358E+02 V
c) 4.793E+02 V
d) 5.273E+02 V
e) 5.800E+02 V

#### c07 Y1

1) 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

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

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

3) Assume that a 24 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (13 cm, 27°).

a) 5.540E+02 V
b) 6.095E+02 V
c) 6.704E+02 V
d) 7.374E+02 V
e) 8.112E+02 V

4) 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

#### c07 Y2

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

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

3) Assume that a 14 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 (15 cm, 22°).

a) 5.592E+02 V
b) 6.151E+02 V
c) 6.767E+02 V
d) 7.443E+02 V
e) 8.188E+02 V

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

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

### c07 Z0

1) 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

2) A 5 C charge is separated from a 9 C charge by distance of 14 cm. What is the work done by increasing this separation to 18 cm?

a) 4.385E-07 J
b) 4.823E-07 J
c) 5.306E-07 J
d) 5.836E-07 J
e) 6.420E-07 J
3)
A Van de Graff generator has a 76 cm diameter metal sphere that produces 193 kV near its surface. What is the excess charge on the sphere?
a) 7.418E+00 μC
b) 8.160E+00 μC
c) 8.976E+00 μC
d) 9.874E+00 μC
e) 1.086E+01 μC
4)
Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.) The charges are q1=4 μC, q2=7 μC, q3=10 μC, and q4=12 μC. How much work was required to assemble these four charges from infinity?
a) 1.194E+02 J
b) 1.314E+02 J
c) 1.445E+02 J
d) 1.589E+02 J
e) 1.748E+02 J

#### c07 Z1

1)
A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What is the excess charge on the sphere?
a) 1.205E+01 μC
b) 1.326E+01 μC
c) 1.459E+01 μC
d) 1.604E+01 μC
e) 1.765E+01 μC
2)
Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.) The charges are q1=4 μC, q2=7 μC, q3=10 μC, and q4=12 μC. How much work was required to assemble these four charges from infinity?
a) 1.194E+02 J
b) 1.314E+02 J
c) 1.445E+02 J
d) 1.589E+02 J
e) 1.748E+02 J

3) Two large parallel conducting plates are separated by 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

4) A 5 C charge is separated from a 9 C charge by distance of 14 cm. What is the work done by increasing this separation to 18 cm?

a) 4.385E-07 J
b) 4.823E-07 J
c) 5.306E-07 J
d) 5.836E-07 J
e) 6.420E-07 J

#### c07 Z2

1)
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
2)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=6 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
a) 2.343E+01 J
b) 2.577E+01 J
c) 2.835E+01 J
d) 3.118E+01 J
e) 3.430E+01 J

3) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?

a) 4.723E-01 mm
b) 5.432E-01 mm
c) 6.246E-01 mm
d) 7.183E-01 mm
e) 8.261E-01 mm

4) A 6 C charge is separated from a 13 C charge by distance of 8 cm. What is the work done by increasing this separation to 16 cm?

a) 3.292E-06 J
b) 3.621E-06 J
c) 3.983E-06 J
d) 4.381E-06 J
e) 4.820E-06 J

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### Key: A0

1)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 4.235E+01 J
+b) 4.659E+01 J
-c) 5.125E+01 J
-d) 5.637E+01 J
-e) 6.201E+01 J
2)
An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 μC charge that gets between the plates?
-a) 1.767E-01 N
-b) 1.944E-01 N
-c) 2.138E-01 N
-d) 2.352E-01 N
+e) 2.587E-01 N

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

-a) 3.570E+05 J
-b) 3.927E+05 J
+c) 4.320E+05 J
-d) 4.752E+05 J
-e) 5.227E+05 J

4) 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

Click these links for the keys:

#### Key: A1

1) 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
2)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 3.116E+01 J
-b) 3.427E+01 J
-c) 3.770E+01 J
-d) 4.147E+01 J
+e) 4.562E+01 J

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

-a) 3.570E+05 J
-b) 3.927E+05 J
+c) 4.320E+05 J
-d) 4.752E+05 J
-e) 5.227E+05 J
4)
An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 μC charge that gets between the plates?
-a) 1.767E-01 N
-b) 1.944E-01 N
-c) 2.138E-01 N
-d) 2.352E-01 N
+e) 2.587E-01 N

Click these links for the keys:

#### Key: A2

1)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=6 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
-a) 2.343E+01 J
+b) 2.577E+01 J
-c) 2.835E+01 J
-d) 3.118E+01 J
-e) 3.430E+01 J

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

-a) 8.754E-07 J
+b) 9.630E-07 J
-c) 1.059E-06 J
-d) 1.165E-06 J
-e) 1.282E-06 J
4)
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

Click these links for the keys:

### Key: B0

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) 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

3) 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
4)
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

Click these links for the keys:

#### Key: B1

1)
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

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

-a) 3.570E+05 J
-b) 3.927E+05 J
+c) 4.320E+05 J
-d) 4.752E+05 J
-e) 5.227E+05 J

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 11 V.

-a) 1.626E+06 m/s
-b) 1.788E+06 m/s
+c) 1.967E+06 m/s
-d) 2.164E+06 m/s
-e) 2.380E+06 m/s

4) 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

Click these links for the keys:

#### Key: B2

1) If a 29 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=81 V is x2 + y2 + z2 = R2, where R=

+a) 3.218E+00 m
-b) 3.540E+00 m
-c) 3.893E+00 m
-d) 4.283E+00 m
-e) 4.711E+00 m

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

-a) 9.016E+04 J
-b) 9.917E+04 J
-c) 1.091E+05 J
-d) 1.200E+05 J
+e) 1.320E+05 J

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

-a) 3.288E+06 m/s
-b) 3.617E+06 m/s
+c) 3.979E+06 m/s
-d) 4.376E+06 m/s
-e) 4.814E+06 m/s
4)
A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What is the excess charge on the sphere?
-a) 1.205E+01 μC
+b) 1.326E+01 μC
-c) 1.459E+01 μC
-d) 1.604E+01 μC
-e) 1.765E+01 μC

Click these links for the keys:

### Key: C0

1)
An electron gun has parallel plates separated by 5.02 cm and gives electrons 16 keV of energy. What force would the field between the plates exert on a 0.609 μC charge that gets between the plates?
-a) 1.604E-01 N
-b) 1.765E-01 N
+c) 1.941E-01 N
-d) 2.135E-01 N
-e) 2.349E-01 N
2)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
-a) 5.650E+01 J
-b) 6.215E+01 J
-c) 6.837E+01 J
-d) 7.520E+01 J
+e) 8.272E+01 J
3)
A Van de Graff generator has a 114 cm diameter metal sphere that produces 289 kV near its surface. What is the excess charge on the sphere?
+a) 1.833E+01 μC
-b) 2.016E+01 μC
-c) 2.218E+01 μC
-d) 2.440E+01 μC
-e) 2.684E+01 μC

4) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?

-a) 4.391E-01 mm
-b) 5.049E-01 mm
-c) 5.806E-01 mm
-d) 6.677E-01 mm
+e) 7.679E-01 mm

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#### Key: C1

1)
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

2) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.310E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

-a) 5.814E-01 mm
-b) 6.686E-01 mm
-c) 7.689E-01 mm
+d) 8.842E-01 mm
-e) 1.017E+00 mm
3)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=7 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
-a) 4.438E+01 J
+b) 4.882E+01 J
-c) 5.370E+01 J
-d) 5.907E+01 J
-e) 6.498E+01 J
4)
An electron gun has parallel plates separated by 3.68 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.181 μC charge that gets between the plates?
+a) 2.656E-01 N
-b) 2.922E-01 N
-c) 3.214E-01 N
-d) 3.535E-01 N
-e) 3.889E-01 N

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#### Key: C2

1)
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
2)
An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 μC charge that gets between the plates?
-a) 3.977E-01 N
-b) 4.374E-01 N
-c) 4.812E-01 N
+d) 5.293E-01 N
-e) 5.822E-01 N
3)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=5 μC, q3=7 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
-a) 3.910E+01 J
-b) 4.301E+01 J
-c) 4.731E+01 J
-d) 5.204E+01 J
+e) 5.725E+01 J

4) Two large parallel conducting plates are separated by 6.86 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 79 V?

-a) 6.100E-01 mm
-b) 7.015E-01 mm
-c) 8.067E-01 mm
+d) 9.277E-01 mm
-e) 1.067E+00 mm

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### Key: D0

1)
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

2) Assume that a 24 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (13 cm, 27°).

-a) 5.540E+02 V
-b) 6.095E+02 V
-c) 6.704E+02 V
+d) 7.374E+02 V
-e) 8.112E+02 V

3) 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
4)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 2.617E+01 J
-b) 2.879E+01 J
-c) 3.167E+01 J
-d) 3.484E+01 J
+e) 3.832E+01 J

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#### Key: D1

1)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
-a) 5.178E+01 J
+b) 5.696E+01 J
-c) 6.266E+01 J
-d) 6.892E+01 J
-e) 7.582E+01 J

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

-a) 3.022E+06 m/s
-b) 3.324E+06 m/s
-c) 3.657E+06 m/s
+d) 4.023E+06 m/s
-e) 4.425E+06 m/s
3)
An electron gun has parallel plates separated by 3.39 cm and gives electrons 57 keV of energy. What force would the field between the plates exert on a 0.218 μC charge that gets between the plates?
-a) 3.029E-01 N
-b) 3.332E-01 N
+c) 3.665E-01 N
-d) 4.032E-01 N
-e) 4.435E-01 N

4) Assume that a 15 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 (14 cm, 77°).

-a) 1.184E+03 V
-b) 1.302E+03 V
-c) 1.432E+03 V
-d) 1.576E+03 V
+e) 1.733E+03 V

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#### Key: D2

1) Assume that a 17 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (6 cm, 0°) and P2 is at (15 cm, 48°).

+a) 1.528E+03 V
-b) 1.681E+03 V
-c) 1.849E+03 V
-d) 2.034E+03 V
-e) 2.237E+03 V
2)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=5 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 3.444E+01 J
-b) 3.789E+01 J
+c) 4.168E+01 J
-d) 4.585E+01 J
-e) 5.043E+01 J

3) Calculate the 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
4)
An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 μC charge that gets between the plates?
-a) 1.767E-01 N
-b) 1.944E-01 N
-c) 2.138E-01 N
-d) 2.352E-01 N
+e) 2.587E-01 N

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### Key: E0

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

2) 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) 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

4) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=

+a) 2.420E+00 m
-b) 2.662E+00 m
-c) 2.928E+00 m
-d) 3.221E+00 m
-e) 3.543E+00 m

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#### Key: E1

1) 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
2)
An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 μC charge that gets between the plates?
-a) 1.767E-01 N
-b) 1.944E-01 N
-c) 2.138E-01 N
-d) 2.352E-01 N
+e) 2.587E-01 N

3) Assume that a 4 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 (15 cm, 59°).

-a) 3.961E+02 V
-b) 4.358E+02 V
+c) 4.793E+02 V
-d) 5.273E+02 V
-e) 5.800E+02 V

4) 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

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#### Key: E2

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

+a) 5.102E+06 m/s
-b) 5.612E+06 m/s
-c) 6.173E+06 m/s
-d) 6.791E+06 m/s
-e) 7.470E+06 m/s

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

-a) 3.581E+02 V
-b) 3.939E+02 V
+c) 4.333E+02 V
-d) 4.767E+02 V
-e) 5.243E+02 V
3)
An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 μC charge that gets between the plates?
-a) 1.767E-01 N
-b) 1.944E-01 N
-c) 2.138E-01 N
-d) 2.352E-01 N
+e) 2.587E-01 N

4) 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

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### Key: F0

1) 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

2) 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

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

+a) 1.556E-07 J
-b) 1.711E-07 J
-c) 1.882E-07 J
-d) 2.070E-07 J
-e) 2.277E-07 J
4)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.31 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.47 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
+a) 8.672E+02 V
-b) 9.539E+02 V
-c) 1.049E+03 V
-d) 1.154E+03 V
-e) 1.270E+03 V

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#### Key: F1

1) A 5 C charge is separated from a 9 C charge by distance of 14 cm. What is the work done by increasing this separation to 18 cm?

-a) 4.385E-07 J
-b) 4.823E-07 J
-c) 5.306E-07 J
-d) 5.836E-07 J
+e) 6.420E-07 J
2)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.86 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
-a) 6.325E+02 V
+b) 6.957E+02 V
-c) 7.653E+02 V
-d) 8.418E+02 V
-e) 9.260E+02 V

3) 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

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

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

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#### Key: F2

1) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?

-a) 4.723E-01 mm
-b) 5.432E-01 mm
-c) 6.246E-01 mm
-d) 7.183E-01 mm
+e) 8.261E-01 mm
2)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.48 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.8 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.
-a) 5.134E+02 V
-b) 5.648E+02 V
-c) 6.212E+02 V
-d) 6.834E+02 V
+e) 7.517E+02 V

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

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

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

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

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### Key: G0

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

-a) 2.701E+00 m
-b) 2.971E+00 m
+c) 3.268E+00 m
-d) 3.595E+00 m
-e) 3.955E+00 m
2)
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

3) 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
4)
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

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#### Key: G1

1) 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

2) 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
3)
An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 μC charge that gets between the plates?
-a) 1.767E-01 N
-b) 1.944E-01 N
-c) 2.138E-01 N
-d) 2.352E-01 N
+e) 2.587E-01 N
4)
A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What is the excess charge on the sphere?
-a) 1.032E+01 μC
-b) 1.135E+01 μC
+c) 1.249E+01 μC
-d) 1.374E+01 μC
-e) 1.511E+01 μC

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#### Key: G2

1)
An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 μC charge that gets between the plates?
-a) 3.977E-01 N
-b) 4.374E-01 N
-c) 4.812E-01 N
+d) 5.293E-01 N
-e) 5.822E-01 N

2) 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

3) 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
4)
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

Click these links for the keys:

### Key: H0

1)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 4.554E+01 J
-b) 5.009E+01 J
-c) 5.510E+01 J
+d) 6.061E+01 J
-e) 6.667E+01 J

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

-a) 3.288E+06 m/s
-b) 3.617E+06 m/s
+c) 3.979E+06 m/s
-d) 4.376E+06 m/s
-e) 4.814E+06 m/s
3)
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
4)
A Van de Graff generator has a 119 cm diameter metal sphere that produces 248 kV near its surface. What is the excess charge on the sphere?
-a) 1.234E+01 μC
-b) 1.357E+01 μC
-c) 1.493E+01 μC
+d) 1.642E+01 μC
-e) 1.806E+01 μC

Click these links for the keys:

#### Key: H1

1)
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

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

-a) 2.802E+06 m/s
+b) 3.082E+06 m/s
-c) 3.390E+06 m/s
-d) 3.729E+06 m/s
-e) 4.102E+06 m/s
3)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=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
4)
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

Click these links for the keys:

#### Key: H2

1)
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)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.31 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.47 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
+a) 8.672E+02 V
-b) 9.539E+02 V
-c) 1.049E+03 V
-d) 1.154E+03 V
-e) 1.270E+03 V

3) 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
4)
Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.) The charges are q1=4 μC, q2=7 μC, q3=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

Click these links for the keys:

### Key: I0

1) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?

-a) 4.723E-01 mm
-b) 5.432E-01 mm
-c) 6.246E-01 mm
-d) 7.183E-01 mm
+e) 8.261E-01 mm

2) A 5 C charge is separated from a 9 C charge by distance of 14 cm. What is the work done by increasing this separation to 18 cm?

-a) 4.385E-07 J
-b) 4.823E-07 J
-c) 5.306E-07 J
-d) 5.836E-07 J
+e) 6.420E-07 J

3) 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

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

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

Click these links for the keys:

#### Key: I1

1) 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

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

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

3) Assume that a 14 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 (15 cm, 22°).

+a) 5.592E+02 V
-b) 6.151E+02 V
-c) 6.767E+02 V
-d) 7.443E+02 V
-e) 8.188E+02 V

4) Two large parallel conducting plates are separated by 8.7 mm. Equal and opposite surface charges of 7.220E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 67 V?

-a) 4.698E-01 mm
-b) 5.402E-01 mm
-c) 6.213E-01 mm
-d) 7.145E-01 mm
+e) 8.216E-01 mm

Click these links for the keys:

#### Key: I2

1) 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

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

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

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

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

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

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

Click these links for the keys:

### Key: J0

1)
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

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

-a) 6.465E-07 J
+b) 7.111E-07 J
-c) 7.822E-07 J
-d) 8.604E-07 J
-e) 9.465E-07 J

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

-a) 1.200E+05 J
+b) 1.320E+05 J
-c) 1.452E+05 J
-d) 1.597E+05 J
-e) 1.757E+05 J

4) Assume that a 6 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (8 cm, 0°) and P2 is at (14 cm, 34°).

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

Click these links for the keys:

#### Key: J1

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

+a) 4.853E-06 J
-b) 5.339E-06 J
-c) 5.872E-06 J
-d) 6.460E-06 J
-e) 7.106E-06 J
2)
A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.
-a) 4.104E+02 V
-b) 4.514E+02 V
-c) 4.965E+02 V
-d) 5.462E+02 V
+e) 6.008E+02 V

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

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

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

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

Click these links for the keys:

#### Key: J2

1)
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

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

+a) 5.880E+05 J
-b) 6.468E+05 J
-c) 7.115E+05 J
-d) 7.826E+05 J
-e) 8.609E+05 J

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

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

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

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

Click these links for the keys:

### Key: K0

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

-a) 1.942E+06 m/s
-b) 2.137E+06 m/s
-c) 2.350E+06 m/s
+d) 2.585E+06 m/s
-e) 2.844E+06 m/s
2)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 4.235E+01 J
+b) 4.659E+01 J
-c) 5.125E+01 J
-d) 5.637E+01 J
-e) 6.201E+01 J
3)
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

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

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

Click these links for the keys:

#### Key: K1

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

+a) 8.514E-01 mm
-b) 9.791E-01 mm
-c) 1.126E+00 mm
-d) 1.295E+00 mm
-e) 1.489E+00 mm
2)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 3.116E+01 J
-b) 3.427E+01 J
-c) 3.770E+01 J
-d) 4.147E+01 J
+e) 4.562E+01 J

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

-a) 1.698E+06 m/s
-b) 1.868E+06 m/s
+c) 2.055E+06 m/s
-d) 2.260E+06 m/s
-e) 2.486E+06 m/s
4)
A Van de Graff generator has a 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

Click these links for the keys:

#### Key: K2

1)
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=10 μC. How much work was required to assemble these four charges from infinity?
-a) 5.650E+01 J
-b) 6.215E+01 J
-c) 6.837E+01 J
-d) 7.520E+01 J
+e) 8.272E+01 J

2) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.310E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

-a) 5.814E-01 mm
-b) 6.686E-01 mm
-c) 7.689E-01 mm
+d) 8.842E-01 mm
-e) 1.017E+00 mm
3)
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

4) Calculate the final speed of a free electron accelerated from rest through a potential difference of 11 V.

-a) 1.626E+06 m/s
-b) 1.788E+06 m/s
+c) 1.967E+06 m/s
-d) 2.164E+06 m/s
-e) 2.380E+06 m/s

Click these links for the keys:

### Key: L0

1)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
-a) 5.178E+01 J
+b) 5.696E+01 J
-c) 6.266E+01 J
-d) 6.892E+01 J
-e) 7.582E+01 J
2)
An electron gun has parallel plates separated by 5.38 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.427 μC charge that gets between the plates?
-a) 3.542E-01 N
-b) 3.896E-01 N
+c) 4.286E-01 N
-d) 4.714E-01 N
-e) 5.186E-01 N

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

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

4) Assume that a 14 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 (15 cm, 22°).

+a) 5.592E+02 V
-b) 6.151E+02 V
-c) 6.767E+02 V
-d) 7.443E+02 V
-e) 8.188E+02 V

Click these links for the keys:

#### Key: L1

1) Assume that a 4 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 (15 cm, 59°).

-a) 3.961E+02 V
-b) 4.358E+02 V
+c) 4.793E+02 V
-d) 5.273E+02 V
-e) 5.800E+02 V

2) 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
3)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
-a) 5.650E+01 J
-b) 6.215E+01 J
-c) 6.837E+01 J
-d) 7.520E+01 J
+e) 8.272E+01 J
4)
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

Click these links for the keys:

#### Key: L2

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

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

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)
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
4)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 2.300E+01 J
-b) 2.530E+01 J
-c) 2.783E+01 J
+d) 3.061E+01 J
-e) 3.367E+01 J

Click these links for the keys:

### Key: M0

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

+a) 4.853E-06 J
-b) 5.339E-06 J
-c) 5.872E-06 J
-d) 6.460E-06 J
-e) 7.106E-06 J
2)
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

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

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

4) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?

-a) 4.723E-01 mm
-b) 5.432E-01 mm
-c) 6.246E-01 mm
-d) 7.183E-01 mm
+e) 8.261E-01 mm

Click these links for the keys:

#### Key: M1

1) Two large parallel conducting plates are separated by 9.58 mm. Equal and opposite surface charges of 7.360E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 84 V?

-a) 6.644E-01 mm
-b) 7.641E-01 mm
-c) 8.787E-01 mm
+d) 1.011E+00 mm
-e) 1.162E+00 mm
2)
A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What is the excess charge on the sphere?
-a) 1.032E+01 μC
-b) 1.135E+01 μC
+c) 1.249E+01 μC
-d) 1.374E+01 μC
-e) 1.511E+01 μC

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) 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

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#### Key: M2

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

-a) 6.525E-01 mm
+b) 7.504E-01 mm
-c) 8.629E-01 mm
-d) 9.923E-01 mm
-e) 1.141E+00 mm

2) A 5 C charge is separated from a 9 C charge by distance of 14 cm. What is the work done by increasing this separation to 18 cm?

-a) 4.385E-07 J
-b) 4.823E-07 J
-c) 5.306E-07 J
-d) 5.836E-07 J
+e) 6.420E-07 J
3)
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

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

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### Key: N0

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

+a) 1.556E-07 J
-b) 1.711E-07 J
-c) 1.882E-07 J
-d) 2.070E-07 J
-e) 2.277E-07 J
2)
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) Assume that a 16 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (6 cm, 0°) and P2 is at (14 cm, 27°).

-a) 9.354E+02 V
-b) 1.029E+03 V
-c) 1.132E+03 V
-d) 1.245E+03 V
+e) 1.370E+03 V

4) 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

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#### Key: N1

1) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?

-a) 4.723E-01 mm
-b) 5.432E-01 mm
-c) 6.246E-01 mm
-d) 7.183E-01 mm
+e) 8.261E-01 mm

2) A 5 C charge is separated from a 9 C charge by distance of 14 cm. What is the work done by increasing this separation to 18 cm?

-a) 4.385E-07 J
-b) 4.823E-07 J
-c) 5.306E-07 J
-d) 5.836E-07 J
+e) 6.420E-07 J
3)
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

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

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

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#### Key: N2

1) 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

2) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?

-a) 4.391E-01 mm
-b) 5.049E-01 mm
-c) 5.806E-01 mm
-d) 6.677E-01 mm
+e) 7.679E-01 mm
3)
An electron gun has parallel plates separated by 3.02 cm and gives electrons 39 keV of energy. What force would the field between the plates exert on a 0.699 μC charge that gets between the plates?
-a) 8.206E-01 N
+b) 9.027E-01 N
-c) 9.930E-01 N
-d) 1.092E+00 N
-e) 1.201E+00 N

4) Assume that a 16 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (6 cm, 0°) and P2 is at (14 cm, 27°).

-a) 9.354E+02 V
-b) 1.029E+03 V
-c) 1.132E+03 V
-d) 1.245E+03 V
+e) 1.370E+03 V

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### Key: O0

1) 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

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

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

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

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

4) 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

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#### Key: O1

1) 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

2) 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

3) 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

4) 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

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#### Key: O2

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

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

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

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

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

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

4) 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

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### Key: P0

1) 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
2)
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.48 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.69 cm, y=2.24 cm)? Note that following the textbook's example, the y-value of the field point at 2.24 cm matches the disance of the positive charge above the x-axis.
-a) 5.645E+02 V
+b) 6.210E+02 V
-c) 6.831E+02 V
-d) 7.514E+02 V
-e) 8.266E+02 V

3) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.310E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

-a) 5.814E-01 mm
-b) 6.686E-01 mm
-c) 7.689E-01 mm
+d) 8.842E-01 mm
-e) 1.017E+00 mm
4)
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

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#### Key: P1

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

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

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

-a) 6.525E-01 mm
+b) 7.504E-01 mm
-c) 8.629E-01 mm
-d) 9.923E-01 mm
-e) 1.141E+00 mm
3)
A diploe has a charge magnitude of q=6 nC and a separation distance of d=3.89 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.24 cm, y=1.95 cm)? Note that following the textbook's example, the y-value of the field point at 1.95 cm matches the disance of the positive charge above the x-axis.
-a) 4.104E+02 V
-b) 4.514E+02 V
-c) 4.965E+02 V
-d) 5.462E+02 V
+e) 6.008E+02 V
4)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 4.554E+01 J
-b) 5.009E+01 J
-c) 5.510E+01 J
+d) 6.061E+01 J
-e) 6.667E+01 J

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#### Key: P2

1)
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

2) 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
3)
A diploe has a charge magnitude of q=7 nC and a separation distance of d=4.17 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.51 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.
-a) 5.261E+02 V
-b) 5.787E+02 V
+c) 6.365E+02 V
-d) 7.002E+02 V
-e) 7.702E+02 V

4) Assume that a 24 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (13 cm, 27°).

-a) 5.540E+02 V
-b) 6.095E+02 V
-c) 6.704E+02 V
+d) 7.374E+02 V
-e) 8.112E+02 V

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### Key: Q0

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

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

2) 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

3) 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
4)
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

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#### Key: Q1

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

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

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

-a) 3.115E+05 J
-b) 3.426E+05 J
-c) 3.769E+05 J
-d) 4.145E+05 J
+e) 4.560E+05 J
3)
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

4) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=

+a) 2.420E+00 m
-b) 2.662E+00 m
-c) 2.928E+00 m
-d) 3.221E+00 m
-e) 3.543E+00 m

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#### Key: Q2

1)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.86 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
-a) 6.325E+02 V
+b) 6.957E+02 V
-c) 7.653E+02 V
-d) 8.418E+02 V
-e) 9.260E+02 V

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

-a) 9.016E+04 J
-b) 9.917E+04 J
-c) 1.091E+05 J
-d) 1.200E+05 J
+e) 1.320E+05 J

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

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

4) Assume that a 4 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 (15 cm, 59°).

-a) 3.961E+02 V
-b) 4.358E+02 V
+c) 4.793E+02 V
-d) 5.273E+02 V
-e) 5.800E+02 V

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### Key: R0

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

3) When a 3.21 V battery operates a 2.38 W bulb, how many electrons pass through it each second?

-a) 3.161E+18 electrons
-b) 3.477E+18 electrons
-c) 3.825E+18 electrons
-d) 4.207E+18 electrons
+e) 4.628E+18 electrons
4)
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=5 μC, q3=7 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
-a) 3.910E+01 J
-b) 4.301E+01 J
-c) 4.731E+01 J
-d) 5.204E+01 J
+e) 5.725E+01 J

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#### Key: R1

1)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=6 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
-a) 2.343E+01 J
+b) 2.577E+01 J
-c) 2.835E+01 J
-d) 3.118E+01 J
-e) 3.430E+01 J

2) When a 6.97 V battery operates a 2.6 W bulb, how many electrons pass through it each second?

-a) 1.749E+18 electrons
-b) 1.924E+18 electrons
-c) 2.117E+18 electrons
+d) 2.328E+18 electrons
-e) 2.561E+18 electrons

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

-a) 3.365E+06 m/s
-b) 3.701E+06 m/s
-c) 4.072E+06 m/s
-d) 4.479E+06 m/s
+e) 4.927E+06 m/s
4)
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

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#### Key: R2

1)
A diploe has a charge magnitude of q=9 nC and a separation distance of d=4.3 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.86 cm, y=2.15 cm)? Note that following the textbook's example, the y-value of the field point at 2.15 cm matches the disance of the positive charge above the x-axis.
-a) 6.325E+02 V
+b) 6.957E+02 V
-c) 7.653E+02 V
-d) 8.418E+02 V
-e) 9.260E+02 V
2)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 2.617E+01 J
-b) 2.879E+01 J
-c) 3.167E+01 J
-d) 3.484E+01 J
+e) 3.832E+01 J

3) 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

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

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

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### Key: S0

1) 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
2)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 2.617E+01 J
-b) 2.879E+01 J
-c) 3.167E+01 J
-d) 3.484E+01 J
+e) 3.832E+01 J
3)
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

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

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

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#### Key: S1

1)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 2.617E+01 J
-b) 2.879E+01 J
-c) 3.167E+01 J
-d) 3.484E+01 J
+e) 3.832E+01 J

2) Two large parallel conducting plates are separated by 8.7 mm. Equal and opposite surface charges of 7.220E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 67 V?

-a) 4.698E-01 mm
-b) 5.402E-01 mm
-c) 6.213E-01 mm
-d) 7.145E-01 mm
+e) 8.216E-01 mm
3)
A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What is the excess charge on the sphere?
-a) 1.500E+01 μC
-b) 1.650E+01 μC
-c) 1.815E+01 μC
-d) 1.997E+01 μC
+e) 2.196E+01 μC

4) 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

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#### Key: S2

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

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

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

-a) 3.288E+06 m/s
-b) 3.617E+06 m/s
+c) 3.979E+06 m/s
-d) 4.376E+06 m/s
-e) 4.814E+06 m/s
3)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 3.116E+01 J
-b) 3.427E+01 J
-c) 3.770E+01 J
-d) 4.147E+01 J
+e) 4.562E+01 J
4)
A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What is the excess charge on the sphere?
-a) 1.500E+01 μC
-b) 1.650E+01 μC
-c) 1.815E+01 μC
-d) 1.997E+01 μC
+e) 2.196E+01 μC

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### Key: T0

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

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

2) 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

3) Assume that a 15 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 (14 cm, 77°).

-a) 1.184E+03 V
-b) 1.302E+03 V
-c) 1.432E+03 V
-d) 1.576E+03 V
+e) 1.733E+03 V
4)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 4.554E+01 J
-b) 5.009E+01 J
-c) 5.510E+01 J
+d) 6.061E+01 J
-e) 6.667E+01 J

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#### Key: T1

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

-a) 6.465E-07 J
+b) 7.111E-07 J
-c) 7.822E-07 J
-d) 8.604E-07 J
-e) 9.465E-07 J
2)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=5 μC, q3=7 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
-a) 3.910E+01 J
-b) 4.301E+01 J
-c) 4.731E+01 J
-d) 5.204E+01 J
+e) 5.725E+01 J

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

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

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

-a) 3.365E+06 m/s
-b) 3.701E+06 m/s
-c) 4.072E+06 m/s
-d) 4.479E+06 m/s
+e) 4.927E+06 m/s

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#### Key: T2

1) Assume that a 14 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 (15 cm, 22°).

+a) 5.592E+02 V
-b) 6.151E+02 V
-c) 6.767E+02 V
-d) 7.443E+02 V
-e) 8.188E+02 V
2)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=3 μC, q2=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

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

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

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

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

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### Key: U0

1)
A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What is the excess charge on the sphere?
-a) 1.032E+01 μC
-b) 1.135E+01 μC
+c) 1.249E+01 μC
-d) 1.374E+01 μC
-e) 1.511E+01 μC

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

-a) 6.525E-01 mm
+b) 7.504E-01 mm
-c) 8.629E-01 mm
-d) 9.923E-01 mm
-e) 1.141E+00 mm
3)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 4.554E+01 J
-b) 5.009E+01 J
-c) 5.510E+01 J
+d) 6.061E+01 J
-e) 6.667E+01 J

4) A 12.0 V battery can move 31,000 C of charge. How many Joules does it deliver?

-a) 2.541E+05 J
-b) 2.795E+05 J
-c) 3.074E+05 J
-d) 3.382E+05 J
+e) 3.720E+05 J

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#### Key: U1

1)
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

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

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

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

-a) 8.793E-01 mm
+b) 1.011E+00 mm
-c) 1.163E+00 mm
-d) 1.337E+00 mm
-e) 1.538E+00 mm
4)
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

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#### Key: U2

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

-a) 2.615E+05 J
-b) 2.876E+05 J
-c) 3.164E+05 J
+d) 3.480E+05 J
-e) 3.828E+05 J

2) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?

-a) 4.391E-01 mm
-b) 5.049E-01 mm
-c) 5.806E-01 mm
-d) 6.677E-01 mm
+e) 7.679E-01 mm
3)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
-a) 5.650E+01 J
-b) 6.215E+01 J
-c) 6.837E+01 J
-d) 7.520E+01 J
+e) 8.272E+01 J
4)
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

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### Key: V0

1) 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

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

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

3) If a 20 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=70 V is x2 + y2 + z2 = R2, where R=

-a) 1.754E+00 m
-b) 1.929E+00 m
-c) 2.122E+00 m
-d) 2.334E+00 m
+e) 2.568E+00 m

4) Assume that a 24 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (13 cm, 27°).

-a) 5.540E+02 V
-b) 6.095E+02 V
-c) 6.704E+02 V
+d) 7.374E+02 V
-e) 8.112E+02 V

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#### Key: V1

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

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

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

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

4) 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

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#### Key: V2

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

-a) 8.360E+00 m
-b) 9.196E+00 m
-c) 1.012E+01 m
+d) 1.113E+01 m
-e) 1.224E+01 m

2) 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

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

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

4) Two large parallel conducting plates are separated by 7.77 mm. Equal and opposite surface charges of 7.310E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 73 V?

-a) 5.814E-01 mm
-b) 6.686E-01 mm
-c) 7.689E-01 mm
+d) 8.842E-01 mm
-e) 1.017E+00 mm

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### Key: W0

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

+a) 2.890E-06 J
-b) 3.179E-06 J
-c) 3.497E-06 J
-d) 3.846E-06 J
-e) 4.231E-06 J
3)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 2.300E+01 J
-b) 2.530E+01 J
-c) 2.783E+01 J
+d) 3.061E+01 J
-e) 3.367E+01 J
4)
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

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#### Key: W1

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

+a) 1.556E-07 J
-b) 1.711E-07 J
-c) 1.882E-07 J
-d) 2.070E-07 J
-e) 2.277E-07 J
2)
An electron gun has parallel plates separated by 5.04 cm and gives electrons 53 keV of energy. What force would the field between the plates exert on a 0.246 μC charge that gets between the plates?
-a) 1.767E-01 N
-b) 1.944E-01 N
-c) 2.138E-01 N
-d) 2.352E-01 N
+e) 2.587E-01 N
3)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=9 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 4.554E+01 J
-b) 5.009E+01 J
-c) 5.510E+01 J
+d) 6.061E+01 J
-e) 6.667E+01 J

4) 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

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#### Key: W2

1) 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

2) 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
3)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=5 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 3.444E+01 J
-b) 3.789E+01 J
+c) 4.168E+01 J
-d) 4.585E+01 J
-e) 5.043E+01 J
4)
An electron gun has parallel plates separated by 4.2 cm and gives electrons 51 keV of energy. What force would the field between the plates exert on a 0.84 μC charge that gets between the plates?
-a) 8.430E-01 N
-b) 9.273E-01 N
+c) 1.020E+00 N
-d) 1.122E+00 N
-e) 1.234E+00 N

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### Key: X0

1) If a 20 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=70 V is x2 + y2 + z2 = R2, where R=

-a) 1.754E+00 m
-b) 1.929E+00 m
-c) 2.122E+00 m
-d) 2.334E+00 m
+e) 2.568E+00 m

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

-a) 1.439E+18 electrons
-b) 1.583E+18 electrons
-c) 1.742E+18 electrons
+d) 1.916E+18 electrons
-e) 2.107E+18 electrons
3)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=5 μC, q3=6 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 2.617E+01 J
-b) 2.879E+01 J
-c) 3.167E+01 J
-d) 3.484E+01 J
+e) 3.832E+01 J

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

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

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#### Key: X1

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

-a) 1.439E+18 electrons
-b) 1.583E+18 electrons
-c) 1.742E+18 electrons
+d) 1.916E+18 electrons
-e) 2.107E+18 electrons

2) If a 20 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=70 V is x2 + y2 + z2 = R2, where R=

-a) 1.754E+00 m
-b) 1.929E+00 m
-c) 2.122E+00 m
-d) 2.334E+00 m
+e) 2.568E+00 m

3) Assume that a 22 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (12 cm, 53°).

+a) 5.492E+02 V
-b) 6.042E+02 V
-c) 6.646E+02 V
-d) 7.310E+02 V
-e) 8.041E+02 V
4)
Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q1=3 μC, q2=6 μC, q3=7 μC, and q4=9 μC. How much work was required to assemble these four charges from infinity?
-a) 3.116E+01 J
-b) 3.427E+01 J
-c) 3.770E+01 J
-d) 4.147E+01 J
+e) 4.562E+01 J

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#### Key: X2

1) 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
2)
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

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

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

4) 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

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### Key: Y0

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

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

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

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

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

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

4) Assume that a 4 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 (15 cm, 59°).

-a) 3.961E+02 V
-b) 4.358E+02 V
+c) 4.793E+02 V
-d) 5.273E+02 V
-e) 5.800E+02 V

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#### Key: Y1

1) 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

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

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

3) Assume that a 24 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P1 and P2 where the polar coordinates (r,φ) of P1 are (9 cm, 0°) and P2 is at (13 cm, 27°).

-a) 5.540E+02 V
-b) 6.095E+02 V
-c) 6.704E+02 V
+d) 7.374E+02 V
-e) 8.112E+02 V

4) 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

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#### Key: Y2

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

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

3) Assume that a 14 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 (15 cm, 22°).

+a) 5.592E+02 V
-b) 6.151E+02 V
-c) 6.767E+02 V
-d) 7.443E+02 V
-e) 8.188E+02 V

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

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

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### Key: Z0

1) 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

2) A 5 C charge is separated from a 9 C charge by distance of 14 cm. What is the work done by increasing this separation to 18 cm?

-a) 4.385E-07 J
-b) 4.823E-07 J
-c) 5.306E-07 J
-d) 5.836E-07 J
+e) 6.420E-07 J
3)
A Van de Graff generator has a 76 cm diameter metal sphere that produces 193 kV near its surface. What is the excess charge on the sphere?
-a) 7.418E+00 μC
+b) 8.160E+00 μC
-c) 8.976E+00 μC
-d) 9.874E+00 μC
-e) 1.086E+01 μC
4)
Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.) The charges are q1=4 μC, q2=7 μC, q3=10 μC, and q4=12 μC. How much work was required to assemble these four charges from infinity?
-a) 1.194E+02 J
-b) 1.314E+02 J
-c) 1.445E+02 J
+d) 1.589E+02 J
-e) 1.748E+02 J

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#### Key: Z1

1)
A Van de Graff generator has a 105 cm diameter metal sphere that produces 227 kV near its surface. What is the excess charge on the sphere?
-a) 1.205E+01 μC
+b) 1.326E+01 μC
-c) 1.459E+01 μC
-d) 1.604E+01 μC
-e) 1.765E+01 μC
2)
Four charges lie at the corners of a 2 cm by 2 cm square as shown (i.e., a=b=2 cm.) The charges are q1=4 μC, q2=7 μC, q3=10 μC, and q4=12 μC. How much work was required to assemble these four charges from infinity?
-a) 1.194E+02 J
-b) 1.314E+02 J
-c) 1.445E+02 J
+d) 1.589E+02 J
-e) 1.748E+02 J

3) Two large parallel conducting plates are separated by 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

4) A 5 C charge is separated from a 9 C charge by distance of 14 cm. What is the work done by increasing this separation to 18 cm?

-a) 4.385E-07 J
-b) 4.823E-07 J
-c) 5.306E-07 J
-d) 5.836E-07 J
+e) 6.420E-07 J

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#### Key: Z2

1)
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
2)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=6 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
-a) 2.343E+01 J
+b) 2.577E+01 J
-c) 2.835E+01 J
-d) 3.118E+01 J
-e) 3.430E+01 J

3) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?

-a) 4.723E-01 mm
-b) 5.432E-01 mm
-c) 6.246E-01 mm
-d) 7.183E-01 mm
+e) 8.261E-01 mm

4) A 6 C charge is separated from a 13 C charge by distance of 8 cm. What is the work done by increasing this separation to 16 cm?

-a) 3.292E-06 J
-b) 3.621E-06 J
-c) 3.983E-06 J
+d) 4.381E-06 J
-e) 4.820E-06 J

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