# Physics equations/23-Electromagnetic Induction, AC Circuits, and Electrical Technologies/Q:spaceTetherAndSimpleLoop

Only two of these problems have been placed on Quizbank (first and last)

## a23InductionACcircuits_Q1_v1

Two orbiting satellites are orbiting at a speed of 85 km/s perpendicular to a magnetic field of 56 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) 7.76 x 104 volts. b) 9.4 x 104 volts. c) 1.14 x 105 volts. d) 1.38 x 105 volts. e) 1.67 x 105 volts.

copies
```===2===
{<!--a23InductionACcircuits_Q1_1-->Two orbiting satellites are orbiting at a speed of 77 km/s perpendicular to a magnetic field of 56 μT.  They are connected by a cable that is 31 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) 1.1 x 10<sup>5</sup> volts.
+b) 1.34 x 10<sup>5</sup> volts.
-c) 1.62 x 10<sup>5</sup> volts.
-d) 1.96 x 10<sup>5</sup> volts.
-e) 2.38 x 10<sup>5</sup> volts.
===3===
{<!--a23InductionACcircuits_Q1_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 10<sup>5</sup> volts.
+b) 1.56 x 10<sup>5</sup> volts.
-c) 1.89 x 10<sup>5</sup> volts.
-d) 2.29 x 10<sup>5</sup> volts.
-e) 2.78 x 10<sup>5</sup> volts.
===4===
{<!--a23InductionACcircuits_Q1_1-->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 10<sup>4</sup> volts.
+b) 8.91 x 10<sup>4</sup> volts.
-c) 1.08 x 10<sup>5</sup> volts.
-d) 1.31 x 10<sup>5</sup> volts.
-e) 1.59 x 10<sup>5</sup> volts.
===5===
{<!--a23InductionACcircuits_Q1_1-->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 10<sup>4</sup> volts.
+b) 1.09 x 10<sup>5</sup> volts.
-c) 1.32 x 10<sup>5</sup> volts.
-d) 1.6 x 10<sup>5</sup> volts.
-e) 1.93 x 10<sup>5</sup> volts.
===6===
{<!--a23InductionACcircuits_Q1_1-->Two orbiting satellites are orbiting at a speed of 52 km/s perpendicular to a magnetic field of 41 μT.  They are connected by a cable that is 33 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) 4.79 x 10<sup>4</sup> volts.
-b) 5.81 x 10<sup>4</sup> volts.
+c) 7.04 x 10<sup>4</sup> volts.
-d) 8.52 x 10<sup>4</sup> volts.
-e) 1.03 x 10<sup>5</sup> volts.
===7===
{<!--a23InductionACcircuits_Q1_1-->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 10<sup>4</sup> volts.
-b) 3.3 x 10<sup>4</sup> volts.
-c) 4 x 10<sup>4</sup> volts.
-d) 4.84 x 10<sup>4</sup> volts.
+e) 5.87 x 10<sup>4</sup> volts.
===8===
{<!--a23InductionACcircuits_Q1_1-->Two orbiting satellites are orbiting at a speed of 70 km/s perpendicular to a magnetic field of 46 μT.  They are connected by a cable that is 30 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) 4.48 x 10<sup>4</sup> volts.
-b) 5.43 x 10<sup>4</sup> volts.
-c) 6.58 x 10<sup>4</sup> volts.
-d) 7.97 x 10<sup>4</sup> volts.
+e) 9.66 x 10<sup>4</sup> volts.
```

## a23InductionACcircuits_Q1_v1

An loop of wire with 25 turns has a radius of 0.85 meters, and is oriented with its axis parallel to a magetic field of 0.58 Tesla. What is the induced voltage if this field is reduced to 49% of its original value in 1.5 seconds?

 a) 9.24 x 100 volts b) 1.12 x 101 volts c) 1.36 x 101 volts d) 1.64 x 101 volts e) 1.99 x 101 volts

copies
```===2===
{<!--a23InductionACcircuits_Q1_4-->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 10<sup>0</sup> volts
-b) 2.42 x 10<sup>0</sup> volts
-c) 2.94 x 10<sup>0</sup> volts
-d) 3.56 x 10<sup>0</sup> volts
-e) 4.31 x 10<sup>0</sup> volts
===3===
{<!--a23InductionACcircuits_Q1_4-->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 10<sup>1</sup> volts
-b) 3.1 x 10<sup>1</sup> volts
-c) 3.76 x 10<sup>1</sup> volts
-d) 4.55 x 10<sup>1</sup> volts
-e) 5.51 x 10<sup>1</sup> volts
===4===
{<!--a23InductionACcircuits_Q1_4-->An loop of wire with 80 turns has a radius of 0.52 meters, and is oriented with its axis parallel to a magetic field of 0.15 Tesla.  What is the induced voltage if this field is reduced to  19% of its original value in 3.6 seconds?}
-a) 1.06 x 10<sup>0</sup> volts
-b) 1.29 x 10<sup>0</sup> volts
-c) 1.56 x 10<sup>0</sup> volts
-d) 1.89 x 10<sup>0</sup> volts
+e) 2.29 x 10<sup>0</sup> volts
===5===
{<!--a23InductionACcircuits_Q1_4-->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<sup>-1</sup> volts
-b) 7.68 x 10<sup>-1</sup> volts
-c) 9.31 x 10<sup>-1</sup> volts
+d) 1.13 x 10<sup>0</sup> volts
-e) 1.37 x 10<sup>0</sup> volts
===6===
{<!--a23InductionACcircuits_Q1_4-->An loop of wire with 54 turns has a radius of 0.8 meters, and is oriented with its axis parallel to a magetic field of 0.86 Tesla.  What is the induced voltage if this field is reduced to  46% of its original value in 2.4 seconds?}
-a) 1.43 x 10<sup>1</sup> volts
-b) 1.73 x 10<sup>1</sup> volts
+c) 2.1 x 10<sup>1</sup> volts
-d) 2.55 x 10<sup>1</sup> volts
-e) 3.08 x 10<sup>1</sup> volts
===7===
{<!--a23InductionACcircuits_Q1_4-->An loop of wire with 31 turns has a radius of 0.9 meters, and is oriented with its axis parallel to a magetic field of 0.83 Tesla.  What is the induced voltage if this field is reduced to  35% of its original value in 1.7 seconds?}
-a) 2.07 x 10<sup>1</sup> volts
+b) 2.5 x 10<sup>1</sup> volts
-c) 3.03 x 10<sup>1</sup> volts
-d) 3.67 x 10<sup>1</sup> volts
-e) 4.45 x 10<sup>1</sup> volts
===8===
{<!--a23InductionACcircuits_Q1_4-->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 10<sup>0</sup> volts
+b) 6.58 x 10<sup>0</sup> volts
-c) 7.97 x 10<sup>0</sup> volts
-d) 9.65 x 10<sup>0</sup> volts
-e) 1.17 x 10<sup>1</sup> volts
```