# User:Guy vandegrift/Quizbank/Archive1/College Physics/II T3

## TrigPhysT3_151021

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### TrigPhysT3_151021-v1s1

1. Two orbiting satellites are orbiting at a speed of 66 km/s perpendicular to a magnetic field of 64 μT. They are connected by a cable that is 37 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

___a) 1.29 x 105 volts.
___b) 1.56 x 105 volts.
___c) 1.89 x 105 volts.
___d) 2.29 x 105 volts.
___e) 2.78 x 105 volts.

2. The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one? }

___ a) ${\displaystyle V_{Big-Resistor}=3.33V}$ and${\displaystyle V_{small-Resistor}=6.67V}$.
___ b) None of these are true.
___ c) ${\displaystyle V_{Big-Resistor}=6.67V}$ and ${\displaystyle V_{small-Resistor}=3.33V}$.
___ d) ${\displaystyle V_{small-Resistor}=5V}$ and ${\displaystyle V_{Big-Resistor}=5V}$.

3. A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?}

___ a) ${\displaystyle {\frac {10}{7}}\Omega }$.
___ b) ${\displaystyle {\frac {10}{6}}\Omega }$.
___ c) ${\displaystyle {\frac {6}{10}}\Omega }$.
___ d) ${\displaystyle {\frac {7}{10}}\Omega }$.

4. A 547 mF capacitor is connected in series to a 2 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

___a) 1.38 x 103 s.
___b) 4.38 x 103 s.
___c) 1.38 x 104 s.
___d) 4.38 x 104 s.
___e) 1.38 x 105 s.

5. A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?}

___ a) ${\displaystyle {\frac {6}{11}}\Omega }$.
___ b) ${\displaystyle {\frac {11}{6}}\Omega }$.
___ c) ${\displaystyle {\frac {3}{6}}\Omega }$.
___ d) ${\displaystyle {\frac {6}{3}}\Omega }$.

6. A 5 F capacitor is connected in series to a 8Ω resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

___a) 1.6 x 101 s.
___b) 5.06 x 101 s.
___c) 1.6 x 102 s.
___d) 5.06 x 102 s.
___e) 1.6 x 103 s.

7. What is the current through R1 and R2 in the figure shown?
___ a) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=25A}$.
___ b) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=1.667A}$.
___ c) ${\displaystyle I_{1}=10A}$ and ${\displaystyle I_{2}=16.67A}$.
___ d) ${\displaystyle I_{1}=0.1A}$ and ${\displaystyle I_{2}=0.1667A}$.

8. A resistor has 10 volts across it and 4 amps going through it. What is its resistance?}

___ a) ${\displaystyle 2.5\Omega .}$
___ b) ${\displaystyle 3.5\Omega .}$
___ c) None of these are true.
___ d) ${\displaystyle 4.5\Omega .}$

9. Two parallel wires are 6.7 meters long, and are separated by 5.7 mm. What is the force if both wires carry a current of 13.3 amps?

___a) 4.16 x 10-4 newtons
___b) 1.32 x 10-3 newtons
___c) 4.16 x 10-3 newtons
___d) 1.32 x 10-2 newtons
___e) 4.16 x 10-2 newtons

10. An loop of wire with 92 turns has a radius of 0.39 meters, and is oriented with its axis parallel to a magetic field of 0.97 Tesla. What is the induced voltage if this field is reduced to 16% of its original value in 1.4 seconds?

___a) 2.56 x 101 volts
___b) 3.1 x 101 volts
___c) 3.76 x 101 volts
___d) 4.55 x 101 volts
___e) 5.51 x 101 volts

#### Key to TrigPhysT3_151021-v1s1

1. Two orbiting satellites are orbiting at a speed of 66 km/s perpendicular to a magnetic field of 64 μT. They are connected by a cable that is 37 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

-a) 1.29 x 105 volts.
+b) 1.56 x 105 volts.
-c) 1.89 x 105 volts.
-d) 2.29 x 105 volts.
-e) 2.78 x 105 volts.

2. The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one? }

- a) ${\displaystyle V_{Big-Resistor}=3.33V}$ and${\displaystyle V_{small-Resistor}=6.67V}$.
- b) None of these are true.
+ c) ${\displaystyle V_{Big-Resistor}=6.67V}$ and ${\displaystyle V_{small-Resistor}=3.33V}$.
- d) ${\displaystyle V_{small-Resistor}=5V}$ and ${\displaystyle V_{Big-Resistor}=5V}$.

3. A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?}

+ a) ${\displaystyle {\frac {10}{7}}\Omega }$.
- b) ${\displaystyle {\frac {10}{6}}\Omega }$.
- c) ${\displaystyle {\frac {6}{10}}\Omega }$.
- d) ${\displaystyle {\frac {7}{10}}\Omega }$.

4. A 547 mF capacitor is connected in series to a 2 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

-a) 1.38 x 103 s.
+b) 4.38 x 103 s.
-c) 1.38 x 104 s.
-d) 4.38 x 104 s.
-e) 1.38 x 105 s.

5. A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?}

+ a) ${\displaystyle {\frac {6}{11}}\Omega }$.
- b) ${\displaystyle {\frac {11}{6}}\Omega }$.
- c) ${\displaystyle {\frac {3}{6}}\Omega }$.
- d) ${\displaystyle {\frac {6}{3}}\Omega }$.

6. A 5 F capacitor is connected in series to a 8Ω resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

-a) 1.6 x 101 s.
-b) 5.06 x 101 s.
+c) 1.6 x 102 s.
-d) 5.06 x 102 s.
-e) 1.6 x 103 s.

7. What is the current through R1 and R2 in the figure shown?
- a) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=25A}$.
+ b) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=1.667A}$.
- c) ${\displaystyle I_{1}=10A}$ and ${\displaystyle I_{2}=16.67A}$.
- d) ${\displaystyle I_{1}=0.1A}$ and ${\displaystyle I_{2}=0.1667A}$.

8. A resistor has 10 volts across it and 4 amps going through it. What is its resistance?}

+ a) ${\displaystyle 2.5\Omega .}$
- b) ${\displaystyle 3.5\Omega .}$
- c) None of these are true.
- d) ${\displaystyle 4.5\Omega .}$

9. Two parallel wires are 6.7 meters long, and are separated by 5.7 mm. What is the force if both wires carry a current of 13.3 amps?

-a) 4.16 x 10-4 newtons
-b) 1.32 x 10-3 newtons
-c) 4.16 x 10-3 newtons
-d) 1.32 x 10-2 newtons
+e) 4.16 x 10-2 newtons

10. An loop of wire with 92 turns has a radius of 0.39 meters, and is oriented with its axis parallel to a magetic field of 0.97 Tesla. What is the induced voltage if this field is reduced to 16% of its original value in 1.4 seconds?

+a) 2.56 x 101 volts
-b) 3.1 x 101 volts
-c) 3.76 x 101 volts
-d) 4.55 x 101 volts
-e) 5.51 x 101 volts

### TrigPhysT3_151021-v2s1

1. What is the current through R1 and R2 in the figure shown?
___ a) ${\displaystyle I_{1}=0.1A}$ and ${\displaystyle I_{2}=0.1667A}$.
___ b) ${\displaystyle I_{1}=10A}$ and ${\displaystyle I_{2}=16.67A}$.
___ c) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=25A}$.
___ d) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=1.667A}$.

2. A resistor has 10 volts across it and 4 amps going through it. What is its resistance?}

___ a) ${\displaystyle 3.5\Omega .}$
___ b) ${\displaystyle 4.5\Omega .}$
___ c) None of these are true.
___ d) ${\displaystyle 2.5\Omega .}$

3. Two parallel wires are 7.2 meters long, and are separated by 6.9 mm. What is the force if both wires carry a current of 13.7 amps?

___a) 1.24 x 10-2 newtons
___b) 3.92 x 10-2 newtons
___c) 1.24 x 10-1 newtons
___d) 3.92 x 10-1 newtons
___e) 1.24 x 100 newtons

4. A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?}

___ a) ${\displaystyle {\frac {11}{6}}\Omega }$.
___ b) ${\displaystyle {\frac {3}{6}}\Omega }$.
___ c) ${\displaystyle {\frac {6}{11}}\Omega }$.
___ d) ${\displaystyle {\frac {6}{3}}\Omega }$.

5. An loop of wire with 26 turns has a radius of 0.26 meters, and is oriented with its axis parallel to a magetic field of 0.75 Tesla. What is the induced voltage if this field is reduced to 13% of its original value in 1.8 seconds?

___a) 2 x 100 volts
___b) 2.42 x 100 volts
___c) 2.94 x 100 volts
___d) 3.56 x 100 volts
___e) 4.31 x 100 volts

6. A 10 F capacitor is connected in series to a 10Ω resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

___a) 4 x 100 s.
___b) 1.26 x 101 s.
___c) 4 x 101 s.
___d) 1.26 x 102 s.
___e) 4 x 102 s.

7. A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?}

___ a) ${\displaystyle {\frac {10}{7}}\Omega }$.
___ b) ${\displaystyle {\frac {7}{10}}\Omega }$.
___ c) ${\displaystyle {\frac {10}{6}}\Omega }$.
___ d) ${\displaystyle {\frac {6}{10}}\Omega }$.

8. The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one? }

___ a) ${\displaystyle V_{Big-Resistor}=3.33V}$ and${\displaystyle V_{small-Resistor}=6.67V}$.
___ b) None of these are true.
___ c) ${\displaystyle V_{Big-Resistor}=6.67V}$ and ${\displaystyle V_{small-Resistor}=3.33V}$.
___ d) ${\displaystyle V_{small-Resistor}=5V}$ and ${\displaystyle V_{Big-Resistor}=5V}$.

9. Two orbiting satellites are orbiting at a speed of 53 km/s perpendicular to a magnetic field of 58 μT. They are connected by a cable that is 29 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

___a) 7.36 x 104 volts.
___b) 8.91 x 104 volts.
___c) 1.08 x 105 volts.
___d) 1.31 x 105 volts.
___e) 1.59 x 105 volts.

10. A 819 mF capacitor is connected in series to a 798 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

___a) 8.27 x 105 s.
___b) 2.61 x 106 s.
___c) 8.27 x 106 s.
___d) 2.61 x 107 s.
___e) 8.27 x 107 s.

#### Key to TrigPhysT3_151021-v2s1

1. What is the current through R1 and R2 in the figure shown?
- a) ${\displaystyle I_{1}=0.1A}$ and ${\displaystyle I_{2}=0.1667A}$.
- b) ${\displaystyle I_{1}=10A}$ and ${\displaystyle I_{2}=16.67A}$.
- c) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=25A}$.
+ d) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=1.667A}$.

2. A resistor has 10 volts across it and 4 amps going through it. What is its resistance?}

- a) ${\displaystyle 3.5\Omega .}$
- b) ${\displaystyle 4.5\Omega .}$
- c) None of these are true.
+ d) ${\displaystyle 2.5\Omega .}$

3. Two parallel wires are 7.2 meters long, and are separated by 6.9 mm. What is the force if both wires carry a current of 13.7 amps?

-a) 1.24 x 10-2 newtons
+b) 3.92 x 10-2 newtons
-c) 1.24 x 10-1 newtons
-d) 3.92 x 10-1 newtons
-e) 1.24 x 100 newtons

4. A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?}

- a) ${\displaystyle {\frac {11}{6}}\Omega }$.
- b) ${\displaystyle {\frac {3}{6}}\Omega }$.
+ c) ${\displaystyle {\frac {6}{11}}\Omega }$.
- d) ${\displaystyle {\frac {6}{3}}\Omega }$.

5. An loop of wire with 26 turns has a radius of 0.26 meters, and is oriented with its axis parallel to a magetic field of 0.75 Tesla. What is the induced voltage if this field is reduced to 13% of its original value in 1.8 seconds?

+a) 2 x 100 volts
-b) 2.42 x 100 volts
-c) 2.94 x 100 volts
-d) 3.56 x 100 volts
-e) 4.31 x 100 volts

6. A 10 F capacitor is connected in series to a 10Ω resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

-a) 4 x 100 s.
-b) 1.26 x 101 s.
-c) 4 x 101 s.
-d) 1.26 x 102 s.
+e) 4 x 102 s.

7. A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?}

+ a) ${\displaystyle {\frac {10}{7}}\Omega }$.
- b) ${\displaystyle {\frac {7}{10}}\Omega }$.
- c) ${\displaystyle {\frac {10}{6}}\Omega }$.
- d) ${\displaystyle {\frac {6}{10}}\Omega }$.

8. The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one? }

- a) ${\displaystyle V_{Big-Resistor}=3.33V}$ and${\displaystyle V_{small-Resistor}=6.67V}$.
- b) None of these are true.
+ c) ${\displaystyle V_{Big-Resistor}=6.67V}$ and ${\displaystyle V_{small-Resistor}=3.33V}$.
- d) ${\displaystyle V_{small-Resistor}=5V}$ and ${\displaystyle V_{Big-Resistor}=5V}$.

9. Two orbiting satellites are orbiting at a speed of 53 km/s perpendicular to a magnetic field of 58 μT. They are connected by a cable that is 29 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

-a) 7.36 x 104 volts.
+b) 8.91 x 104 volts.
-c) 1.08 x 105 volts.
-d) 1.31 x 105 volts.
-e) 1.59 x 105 volts.

10. A 819 mF capacitor is connected in series to a 798 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

-a) 8.27 x 105 s.
+b) 2.61 x 106 s.
-c) 8.27 x 106 s.
-d) 2.61 x 107 s.
-e) 8.27 x 107 s.

### TrigPhysT3_151021-v1s2

1. Two resistors are in parallel with a voltage source. How do their voltages compare?}

___ a) The voltage across both resistors is half the voltage of the source.
___ b) None of these are true.
___ c) One has full voltage, the other has none.
___ d) The voltage across both resistors is the same as the source.

2. A 621 mF capacitor is connected in series to a 628 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)

___a) 1.17 x 105 s.
___b) 3.7 x 105 s.
___c) 1.17 x 106 s.
___d) 3.7 x 106 s.
___e) 1.17 x 107 s.

3. A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?}

___ a) 24W
___ b) 3W
___ c) 8W
___ d) 2.2W

4. A 65 μF capacitor is connected in series to a 414 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

___a) 1.08 x 101 s.
___b) 3.4 x 101 s.
___c) 1.08 x 102 s.
___d) 3.4 x 102 s.
___e) 1.08 x 103 s.

5. An loop of wire with 33 turns has a radius of 0.55 meters, and is oriented with its axis parallel to a magetic field of 0.74 Tesla. What is the induced voltage if this field is reduced to 32% of its original value in 2.4 seconds?

___a) 5.43 x 100 volts
___b) 6.58 x 100 volts
___c) 7.97 x 100 volts
___d) 9.65 x 100 volts
___e) 1.17 x 101 volts

6. Two parallel wires are 6.7 meters long, and are separated by 5.7 mm. What is the force if both wires carry a current of 13.3 amps?

___a) 4.16 x 10-4 newtons
___b) 1.32 x 10-3 newtons
___c) 4.16 x 10-3 newtons
___d) 1.32 x 10-2 newtons
___e) 4.16 x 10-2 newtons

7. 3 amps flow through a 1 Ohm resistor. What is the voltage?}

___ a) ${\displaystyle 3V}$
___ b) ${\displaystyle {\frac {1}{3}}V}$
___ c) None these are correct.
___ d) ${\displaystyle 1V}$

8. What is the current through R1 and R2 in the figure shown?
___ a) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=1.667A}$.
___ b) ${\displaystyle I_{1}=10A}$ and ${\displaystyle I_{2}=16.67A}$.
___ c) ${\displaystyle I_{1}=0.1A}$ and ${\displaystyle I_{2}=0.1667A}$.
___ d) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=25A}$.

9. What is the current through R1, R2, R3, and R4 in the figure shown?
___ a) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=0.5A}$; ${\displaystyle I_{3}=0.33A}$; ${\displaystyle I_{4}=0.25A}$.
___ b) ${\displaystyle I_{1}=0.25A}$; ${\displaystyle I_{2}=0.33A}$; ${\displaystyle I_{3}=0.5A}$; ${\displaystyle I_{4}=0.1A}$.
___ c) ${\displaystyle I_{1}=10A}$; ${\displaystyle I_{2}=50A}$; ${\displaystyle I_{3}=33A}$; ${\displaystyle I_{4}=25A}$..
___ d) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=5A}$; ${\displaystyle I_{3}=3.3A}$; ${\displaystyle I_{4}=2.5A}$.

10. Two orbiting satellites are orbiting at a speed of 58 km/s perpendicular to a magnetic field of 46 μT. They are connected by a cable that is 22 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

___a) 2.72 x 104 volts.
___b) 3.3 x 104 volts.
___c) 4 x 104 volts.
___d) 4.84 x 104 volts.
___e) 5.87 x 104 volts.

#### Key to TrigPhysT3_151021-v1s2

1. Two resistors are in parallel with a voltage source. How do their voltages compare?}

- a) The voltage across both resistors is half the voltage of the source.
- b) None of these are true.
- c) One has full voltage, the other has none.
+ d) The voltage across both resistors is the same as the source.

2. A 621 mF capacitor is connected in series to a 628 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)

-a) 1.17 x 105 s.
-b) 3.7 x 105 s.
+c) 1.17 x 106 s.
-d) 3.7 x 106 s.
-e) 1.17 x 107 s.

3. A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?}

+ a) 24W
- b) 3W
- c) 8W
- d) 2.2W

4. A 65 μF capacitor is connected in series to a 414 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

-a) 1.08 x 101 s.
-b) 3.4 x 101 s.
+c) 1.08 x 102 s.
-d) 3.4 x 102 s.
-e) 1.08 x 103 s.

5. An loop of wire with 33 turns has a radius of 0.55 meters, and is oriented with its axis parallel to a magetic field of 0.74 Tesla. What is the induced voltage if this field is reduced to 32% of its original value in 2.4 seconds?

-a) 5.43 x 100 volts
+b) 6.58 x 100 volts
-c) 7.97 x 100 volts
-d) 9.65 x 100 volts
-e) 1.17 x 101 volts

6. Two parallel wires are 6.7 meters long, and are separated by 5.7 mm. What is the force if both wires carry a current of 13.3 amps?

-a) 4.16 x 10-4 newtons
-b) 1.32 x 10-3 newtons
-c) 4.16 x 10-3 newtons
-d) 1.32 x 10-2 newtons
+e) 4.16 x 10-2 newtons

7. 3 amps flow through a 1 Ohm resistor. What is the voltage?}

+ a) ${\displaystyle 3V}$
- b) ${\displaystyle {\frac {1}{3}}V}$
- c) None these are correct.
- d) ${\displaystyle 1V}$

8. What is the current through R1 and R2 in the figure shown?
+ a) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=1.667A}$.
- b) ${\displaystyle I_{1}=10A}$ and ${\displaystyle I_{2}=16.67A}$.
- c) ${\displaystyle I_{1}=0.1A}$ and ${\displaystyle I_{2}=0.1667A}$.
- d) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=25A}$.

9. What is the current through R1, R2, R3, and R4 in the figure shown?
+ a) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=0.5A}$; ${\displaystyle I_{3}=0.33A}$; ${\displaystyle I_{4}=0.25A}$.
- b) ${\displaystyle I_{1}=0.25A}$; ${\displaystyle I_{2}=0.33A}$; ${\displaystyle I_{3}=0.5A}$; ${\displaystyle I_{4}=0.1A}$.
- c) ${\displaystyle I_{1}=10A}$; ${\displaystyle I_{2}=50A}$; ${\displaystyle I_{3}=33A}$; ${\displaystyle I_{4}=25A}$..
- d) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=5A}$; ${\displaystyle I_{3}=3.3A}$; ${\displaystyle I_{4}=2.5A}$.

10. Two orbiting satellites are orbiting at a speed of 58 km/s perpendicular to a magnetic field of 46 μT. They are connected by a cable that is 22 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

-a) 2.72 x 104 volts.
-b) 3.3 x 104 volts.
-c) 4 x 104 volts.
-d) 4.84 x 104 volts.
+e) 5.87 x 104 volts.

### TrigPhysT3_151021-v2s2

1. An loop of wire with 92 turns has a radius of 0.39 meters, and is oriented with its axis parallel to a magetic field of 0.97 Tesla. What is the induced voltage if this field is reduced to 16% of its original value in 1.4 seconds?

___a) 2.56 x 101 volts
___b) 3.1 x 101 volts
___c) 3.76 x 101 volts
___d) 4.55 x 101 volts
___e) 5.51 x 101 volts

2. What is the current through R1 and R2 in the figure shown?
___ a) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=25A}$.
___ b) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=1.667A}$.
___ c) ${\displaystyle I_{1}=10A}$ and ${\displaystyle I_{2}=16.67A}$.
___ d) ${\displaystyle I_{1}=0.1A}$ and ${\displaystyle I_{2}=0.1667A}$.

3. 3 amps flow through a 1 Ohm resistor. What is the voltage?}

___ a) ${\displaystyle 3V}$
___ b) ${\displaystyle {\frac {1}{3}}V}$
___ c) None these are correct.
___ d) ${\displaystyle 1V}$

4. What is the current through R1, R2, R3, and R4 in the figure shown?
___ a) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=5A}$; ${\displaystyle I_{3}=3.3A}$; ${\displaystyle I_{4}=2.5A}$.
___ b) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=0.5A}$; ${\displaystyle I_{3}=0.33A}$; ${\displaystyle I_{4}=0.25A}$.
___ c) ${\displaystyle I_{1}=0.25A}$; ${\displaystyle I_{2}=0.33A}$; ${\displaystyle I_{3}=0.5A}$; ${\displaystyle I_{4}=0.1A}$.
___ d) ${\displaystyle I_{1}=10A}$; ${\displaystyle I_{2}=50A}$; ${\displaystyle I_{3}=33A}$; ${\displaystyle I_{4}=25A}$..

5. A 65 μF capacitor is connected in series to a 414 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

___a) 1.08 x 101 s.
___b) 3.4 x 101 s.
___c) 1.08 x 102 s.
___d) 3.4 x 102 s.
___e) 1.08 x 103 s.

6. A 621 mF capacitor is connected in series to a 628 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)

___a) 1.17 x 105 s.
___b) 3.7 x 105 s.
___c) 1.17 x 106 s.
___d) 3.7 x 106 s.
___e) 1.17 x 107 s.

7. Two parallel wires are 6.7 meters long, and are separated by 5.7 mm. What is the force if both wires carry a current of 13.3 amps?

___a) 4.16 x 10-4 newtons
___b) 1.32 x 10-3 newtons
___c) 4.16 x 10-3 newtons
___d) 1.32 x 10-2 newtons
___e) 4.16 x 10-2 newtons

8. Two orbiting satellites are orbiting at a speed of 83 km/s perpendicular to a magnetic field of 57 μT. They are connected by a cable that is 23 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

___a) 8.98 x 104 volts.
___b) 1.09 x 105 volts.
___c) 1.32 x 105 volts.
___d) 1.6 x 105 volts.
___e) 1.93 x 105 volts.

9. A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?}

___ a) 24W
___ b) 3W
___ c) 8W
___ d) 2.2W

10. Two resistors are in parallel with a voltage source. How do their voltages compare?}

___ a) None of these are true.
___ b) The voltage across both resistors is the same as the source.
___ c) The voltage across both resistors is half the voltage of the source.
___ d) One has full voltage, the other has none.

#### Key to TrigPhysT3_151021-v2s2

1. An loop of wire with 92 turns has a radius of 0.39 meters, and is oriented with its axis parallel to a magetic field of 0.97 Tesla. What is the induced voltage if this field is reduced to 16% of its original value in 1.4 seconds?

+a) 2.56 x 101 volts
-b) 3.1 x 101 volts
-c) 3.76 x 101 volts
-d) 4.55 x 101 volts
-e) 5.51 x 101 volts

2. What is the current through R1 and R2 in the figure shown?
- a) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=25A}$.
+ b) ${\displaystyle I_{1}=1A}$ and ${\displaystyle I_{2}=1.667A}$.
- c) ${\displaystyle I_{1}=10A}$ and ${\displaystyle I_{2}=16.67A}$.
- d) ${\displaystyle I_{1}=0.1A}$ and ${\displaystyle I_{2}=0.1667A}$.

3. 3 amps flow through a 1 Ohm resistor. What is the voltage?}

+ a) ${\displaystyle 3V}$
- b) ${\displaystyle {\frac {1}{3}}V}$
- c) None these are correct.
- d) ${\displaystyle 1V}$

4. What is the current through R1, R2, R3, and R4 in the figure shown?
- a) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=5A}$; ${\displaystyle I_{3}=3.3A}$; ${\displaystyle I_{4}=2.5A}$.
+ b) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=0.5A}$; ${\displaystyle I_{3}=0.33A}$; ${\displaystyle I_{4}=0.25A}$.
- c) ${\displaystyle I_{1}=0.25A}$; ${\displaystyle I_{2}=0.33A}$; ${\displaystyle I_{3}=0.5A}$; ${\displaystyle I_{4}=0.1A}$.
- d) ${\displaystyle I_{1}=10A}$; ${\displaystyle I_{2}=50A}$; ${\displaystyle I_{3}=33A}$; ${\displaystyle I_{4}=25A}$..

5. A 65 μF capacitor is connected in series to a 414 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

-a) 1.08 x 101 s.
-b) 3.4 x 101 s.
+c) 1.08 x 102 s.
-d) 3.4 x 102 s.
-e) 1.08 x 103 s.

6. A 621 mF capacitor is connected in series to a 628 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)

-a) 1.17 x 105 s.
-b) 3.7 x 105 s.
+c) 1.17 x 106 s.
-d) 3.7 x 106 s.
-e) 1.17 x 107 s.

7. Two parallel wires are 6.7 meters long, and are separated by 5.7 mm. What is the force if both wires carry a current of 13.3 amps?

-a) 4.16 x 10-4 newtons
-b) 1.32 x 10-3 newtons
-c) 4.16 x 10-3 newtons
-d) 1.32 x 10-2 newtons
+e) 4.16 x 10-2 newtons

8. Two orbiting satellites are orbiting at a speed of 83 km/s perpendicular to a magnetic field of 57 μT. They are connected by a cable that is 23 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

-a) 8.98 x 104 volts.
+b) 1.09 x 105 volts.
-c) 1.32 x 105 volts.
-d) 1.6 x 105 volts.
-e) 1.93 x 105 volts.

9. A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?}

+ a) 24W
- b) 3W
- c) 8W
- d) 2.2W

10. Two resistors are in parallel with a voltage source. How do their voltages compare?}

- a) None of these are true.
+ b) The voltage across both resistors is the same as the source.
- c) The voltage across both resistors is half the voltage of the source.
- d) One has full voltage, the other has none.

### TrigPhysT3_151021-v1s3

1. What is the current through R1, R2, R3, and R4 in the figure shown?
___ a) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=5A}$; ${\displaystyle I_{3}=3.3A}$; ${\displaystyle I_{4}=2.5A}$.
___ b) ${\displaystyle I_{1}=10A}$; ${\displaystyle I_{2}=50A}$; ${\displaystyle I_{3}=33A}$; ${\displaystyle I_{4}=25A}$..
___ c) ${\displaystyle I_{1}=0.25A}$; ${\displaystyle I_{2}=0.33A}$; ${\displaystyle I_{3}=0.5A}$; ${\displaystyle I_{4}=0.1A}$.
___ d) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=0.5A}$; ${\displaystyle I_{3}=0.33A}$; ${\displaystyle I_{4}=0.25A}$.

2. Two orbiting satellites are orbiting at a speed of 83 km/s perpendicular to a magnetic field of 57 μT. They are connected by a cable that is 23 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

___a) 8.98 x 104 volts.
___b) 1.09 x 105 volts.
___c) 1.32 x 105 volts.
___d) 1.6 x 105 volts.
___e) 1.93 x 105 volts.

3. An loop of wire with 43 turns has a radius of 0.27 meters, and is oriented with its axis parallel to a magetic field of 0.68 Tesla. What is the induced voltage if this field is reduced to 36% of its original value in 3.8 seconds?

___a) 6.34 x 10-1 volts
___b) 7.68 x 10-1 volts
___c) 9.31 x 10-1 volts
___d) 1.13 x 100 volts
___e) 1.37 x 100 volts

4. The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one? }

___ a) None of these are true.
___ b) ${\displaystyle V_{Big-Resistor}=3.33V}$ and${\displaystyle V_{small-Resistor}=6.67V}$.
___ c) ${\displaystyle V_{small-Resistor}=5V}$ and ${\displaystyle V_{Big-Resistor}=5V}$.
___ d) ${\displaystyle V_{Big-Resistor}=6.67V}$ and ${\displaystyle V_{small-Resistor}=3.33V}$.

5. Blood is flowing at an average rate of 21.5 cm/s in an artery that has an inner diameter of 3.5 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.11 Tesla?

___a) 8.28 x 10-6 Volts
___b) 2.62 x 10-5 Volts
___c) 8.28 x 10-5 Volts
___d) 2.62 x 10-4 Volts
___e) 8.28 x 10-4 Volts

6. Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?}

___ a) Voltage is a measure of Electric Potential difference between two electrical points.
___ b) None these are correct
___ c) It's an Electrical Cliche.
___ d) The other point could be Negative or positive.

7. A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?}

___ a) 1.5A
___ b) 3A
___ c) 2A
___ d) 12A

8. A 547 mF capacitor is connected in series to a 2 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

___a) 1.38 x 103 s.
___b) 4.38 x 103 s.
___c) 1.38 x 104 s.
___d) 4.38 x 104 s.
___e) 1.38 x 105 s.

9. A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed? }

___ a) None of these are ture.
___ b) 11.67 Joules
___ c) 1.67 Watts
___ d) 2.5 Watts

10. A 727 mF capacitor is connected in series to a 860 MΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)

___a) 1.88 x 109 s.
___b) 5.93 x 109 s.
___c) 1.88 x 1010 s.
___d) 5.93 x 1010 s.
___e) 1.88 x 1011 s.

#### Key to TrigPhysT3_151021-v1s3

1. What is the current through R1, R2, R3, and R4 in the figure shown?
- a) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=5A}$; ${\displaystyle I_{3}=3.3A}$; ${\displaystyle I_{4}=2.5A}$.
- b) ${\displaystyle I_{1}=10A}$; ${\displaystyle I_{2}=50A}$; ${\displaystyle I_{3}=33A}$; ${\displaystyle I_{4}=25A}$..
- c) ${\displaystyle I_{1}=0.25A}$; ${\displaystyle I_{2}=0.33A}$; ${\displaystyle I_{3}=0.5A}$; ${\displaystyle I_{4}=0.1A}$.
+ d) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=0.5A}$; ${\displaystyle I_{3}=0.33A}$; ${\displaystyle I_{4}=0.25A}$.

2. Two orbiting satellites are orbiting at a speed of 83 km/s perpendicular to a magnetic field of 57 μT. They are connected by a cable that is 23 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

-a) 8.98 x 104 volts.
+b) 1.09 x 105 volts.
-c) 1.32 x 105 volts.
-d) 1.6 x 105 volts.
-e) 1.93 x 105 volts.

3. An loop of wire with 43 turns has a radius of 0.27 meters, and is oriented with its axis parallel to a magetic field of 0.68 Tesla. What is the induced voltage if this field is reduced to 36% of its original value in 3.8 seconds?

-a) 6.34 x 10-1 volts
-b) 7.68 x 10-1 volts
-c) 9.31 x 10-1 volts
+d) 1.13 x 100 volts
-e) 1.37 x 100 volts

4. The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one? }

- a) None of these are true.
- b) ${\displaystyle V_{Big-Resistor}=3.33V}$ and${\displaystyle V_{small-Resistor}=6.67V}$.
- c) ${\displaystyle V_{small-Resistor}=5V}$ and ${\displaystyle V_{Big-Resistor}=5V}$.
+ d) ${\displaystyle V_{Big-Resistor}=6.67V}$ and ${\displaystyle V_{small-Resistor}=3.33V}$.

5. Blood is flowing at an average rate of 21.5 cm/s in an artery that has an inner diameter of 3.5 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.11 Tesla?

-a) 8.28 x 10-6 Volts
-b) 2.62 x 10-5 Volts
+c) 8.28 x 10-5 Volts
-d) 2.62 x 10-4 Volts
-e) 8.28 x 10-4 Volts

6. Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?}

+ a) Voltage is a measure of Electric Potential difference between two electrical points.
- b) None these are correct
- c) It's an Electrical Cliche.
- d) The other point could be Negative or positive.

7. A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?}

- a) 1.5A
- b) 3A
+ c) 2A
- d) 12A

8. A 547 mF capacitor is connected in series to a 2 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

-a) 1.38 x 103 s.
+b) 4.38 x 103 s.
-c) 1.38 x 104 s.
-d) 4.38 x 104 s.
-e) 1.38 x 105 s.

9. A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed? }

- a) None of these are ture.
- b) 11.67 Joules
+ c) 1.67 Watts
- d) 2.5 Watts

10. A 727 mF capacitor is connected in series to a 860 MΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e3? (where e =2.7...)

+a) 1.88 x 109 s.
-b) 5.93 x 109 s.
-c) 1.88 x 1010 s.
-d) 5.93 x 1010 s.
-e) 1.88 x 1011 s.

### TrigPhysT3_151021-v2s3

1. A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed? }

___ a) 11.67 Joules
___ b) None of these are ture.
___ c) 2.5 Watts
___ d) 1.67 Watts

2. A 206 mF capacitor is connected in series to a 990 MΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

___a) 8.16 x 108 s.
___b) 2.58 x 109 s.
___c) 8.16 x 109 s.
___d) 2.58 x 1010 s.
___e) 8.16 x 1010 s.

3. What is the current through R1, R2, R3, and R4 in the figure shown?
___ a) ${\displaystyle I_{1}=0.25A}$; ${\displaystyle I_{2}=0.33A}$; ${\displaystyle I_{3}=0.5A}$; ${\displaystyle I_{4}=0.1A}$.
___ b) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=0.5A}$; ${\displaystyle I_{3}=0.33A}$; ${\displaystyle I_{4}=0.25A}$.
___ c) ${\displaystyle I_{1}=10A}$; ${\displaystyle I_{2}=50A}$; ${\displaystyle I_{3}=33A}$; ${\displaystyle I_{4}=25A}$..
___ d) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=5A}$; ${\displaystyle I_{3}=3.3A}$; ${\displaystyle I_{4}=2.5A}$.

4. Blood is flowing at an average rate of 21.5 cm/s in an artery that has an inner diameter of 3.5 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.11 Tesla?

___a) 8.28 x 10-6 Volts
___b) 2.62 x 10-5 Volts
___c) 8.28 x 10-5 Volts
___d) 2.62 x 10-4 Volts
___e) 8.28 x 10-4 Volts

5. A 547 mF capacitor is connected in series to a 2 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

___a) 1.38 x 103 s.
___b) 4.38 x 103 s.
___c) 1.38 x 104 s.
___d) 4.38 x 104 s.
___e) 1.38 x 105 s.

6. Two orbiting satellites are orbiting at a speed of 83 km/s perpendicular to a magnetic field of 57 μT. They are connected by a cable that is 23 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

___a) 8.98 x 104 volts.
___b) 1.09 x 105 volts.
___c) 1.32 x 105 volts.
___d) 1.6 x 105 volts.
___e) 1.93 x 105 volts.

7. Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?}

___ a) The other point could be Negative or positive.
___ b) Voltage is a measure of Electric Potential difference between two electrical points.
___ c) It's an Electrical Cliche.
___ d) None these are correct

8. The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one? }

___ a) ${\displaystyle V_{small-Resistor}=5V}$ and ${\displaystyle V_{Big-Resistor}=5V}$.
___ b) None of these are true.
___ c) ${\displaystyle V_{Big-Resistor}=6.67V}$ and ${\displaystyle V_{small-Resistor}=3.33V}$.
___ d) ${\displaystyle V_{Big-Resistor}=3.33V}$ and${\displaystyle V_{small-Resistor}=6.67V}$.

9. A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?}

___ a) 1.5A
___ b) 3A
___ c) 12A
___ d) 2A

10. An loop of wire with 33 turns has a radius of 0.55 meters, and is oriented with its axis parallel to a magetic field of 0.74 Tesla. What is the induced voltage if this field is reduced to 32% of its original value in 2.4 seconds?

___a) 5.43 x 100 volts
___b) 6.58 x 100 volts
___c) 7.97 x 100 volts
___d) 9.65 x 100 volts
___e) 1.17 x 101 volts

#### Key to TrigPhysT3_151021-v2s3

1. A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed? }

- a) 11.67 Joules
- b) None of these are ture.
- c) 2.5 Watts
+ d) 1.67 Watts

2. A 206 mF capacitor is connected in series to a 990 MΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

+a) 8.16 x 108 s.
-b) 2.58 x 109 s.
-c) 8.16 x 109 s.
-d) 2.58 x 1010 s.
-e) 8.16 x 1010 s.

3. What is the current through R1, R2, R3, and R4 in the figure shown?
- a) ${\displaystyle I_{1}=0.25A}$; ${\displaystyle I_{2}=0.33A}$; ${\displaystyle I_{3}=0.5A}$; ${\displaystyle I_{4}=0.1A}$.
+ b) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=0.5A}$; ${\displaystyle I_{3}=0.33A}$; ${\displaystyle I_{4}=0.25A}$.
- c) ${\displaystyle I_{1}=10A}$; ${\displaystyle I_{2}=50A}$; ${\displaystyle I_{3}=33A}$; ${\displaystyle I_{4}=25A}$..
- d) ${\displaystyle I_{1}=1A}$; ${\displaystyle I_{2}=5A}$; ${\displaystyle I_{3}=3.3A}$; ${\displaystyle I_{4}=2.5A}$.

4. Blood is flowing at an average rate of 21.5 cm/s in an artery that has an inner diameter of 3.5 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.11 Tesla?

-a) 8.28 x 10-6 Volts
-b) 2.62 x 10-5 Volts
+c) 8.28 x 10-5 Volts
-d) 2.62 x 10-4 Volts
-e) 8.28 x 10-4 Volts

5. A 547 mF capacitor is connected in series to a 2 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e4? (where e =2.7...)

-a) 1.38 x 103 s.
+b) 4.38 x 103 s.
-c) 1.38 x 104 s.
-d) 4.38 x 104 s.
-e) 1.38 x 105 s.

6. Two orbiting satellites are orbiting at a speed of 83 km/s perpendicular to a magnetic field of 57 μT. They are connected by a cable that is 23 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

-a) 8.98 x 104 volts.
+b) 1.09 x 105 volts.
-c) 1.32 x 105 volts.
-d) 1.6 x 105 volts.
-e) 1.93 x 105 volts.

7. Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?}

- a) The other point could be Negative or positive.
+ b) Voltage is a measure of Electric Potential difference between two electrical points.
- c) It's an Electrical Cliche.
- d) None these are correct

8. The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one? }

- a) ${\displaystyle V_{small-Resistor}=5V}$ and ${\displaystyle V_{Big-Resistor}=5V}$.
- b) None of these are true.
+ c) ${\displaystyle V_{Big-Resistor}=6.67V}$ and ${\displaystyle V_{small-Resistor}=3.33V}$.
- d) ${\displaystyle V_{Big-Resistor}=3.33V}$ and${\displaystyle V_{small-Resistor}=6.67V}$.

9. A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?}

- a) 1.5A
- b) 3A
- c) 12A
+ d) 2A

10. An loop of wire with 33 turns has a radius of 0.55 meters, and is oriented with its axis parallel to a magetic field of 0.74 Tesla. What is the induced voltage if this field is reduced to 32% of its original value in 2.4 seconds?

-a) 5.43 x 100 volts
+b) 6.58 x 100 volts
-c) 7.97 x 100 volts
-d) 9.65 x 100 volts
-e) 1.17 x 101 volts