8. Two infinitely long solenoids (seen in cross section) pass through a circuit as shown in the figure on the right, with radii rm = 0.150 m and r2 = 0.250 m and a = 0.500 m. The magnitude of the magnetic field in each solenoid is increasing in the direction shown at a rate of 40.0 T/s (into the page for solenoid on the left, out of the page for solenoid on the right). The magnetic field of the solenoid on the left is directed into the page, while the magnetic field of the solenoid on the right is directed out of the page. The three resistors have values R1 = 5.00 Q, R2 = 15.0 Q, and R3= 12.0 Q.

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8. Two infinitely long solenoids (seen in cross section) pass through a circuit as shown
in the figure on the right, with radii rm = 0.150 m and r2 = 0.250 m and a = 0.500 m. The
magnitude of the magnetic field in each solenoid is increasing in the direction shown at
a rate of 40.0 T/s (into the page for solenoid on the left, out of the page for solenoid on
the right). The magnetic field of the solenoid on the left is directed into the page, while
the magnetic field of the solenoid on the right is directed out of the page. The three
resistors have values R1 = 5.00 Q, R2 = 15.0 Q, and R3 = 12.0 0.
a
R1
R23
R3
Bin
Bout
a) What are the magnitudes of the emfs induced in each of the two loops of the circuit?
b) What are the magnitudes and directions of the currents in each of the three resistors
(specify upward or downward through each resistor)? It might be helpful to redraw the
circuit with an appropriately oriented battery in the left loop and an appropriately
oriented battery in the right loop.
Transcribed Image Text:8. Two infinitely long solenoids (seen in cross section) pass through a circuit as shown in the figure on the right, with radii rm = 0.150 m and r2 = 0.250 m and a = 0.500 m. The magnitude of the magnetic field in each solenoid is increasing in the direction shown at a rate of 40.0 T/s (into the page for solenoid on the left, out of the page for solenoid on the right). The magnetic field of the solenoid on the left is directed into the page, while the magnetic field of the solenoid on the right is directed out of the page. The three resistors have values R1 = 5.00 Q, R2 = 15.0 Q, and R3 = 12.0 0. a R1 R23 R3 Bin Bout a) What are the magnitudes of the emfs induced in each of the two loops of the circuit? b) What are the magnitudes and directions of the currents in each of the three resistors (specify upward or downward through each resistor)? It might be helpful to redraw the circuit with an appropriately oriented battery in the left loop and an appropriately oriented battery in the right loop.
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