Two infinitely long solenoids (seen in cross-section) thread a circuit as shown

Question

Two infinitely long solenoids (seen in cross-section) thread a circuit as shown in the figure below.

Assume that L1 = 0.508 m, L2 = 0.508 m, H = 0.508 m, r1 = 0.112 m (radius solenoid to the left), r2 = 0.158 m (radius of solenoid to the right), R1 = 5.93 ?, R2 = 5.17 ? and R3 = 2.83 ?. The magnitude of B inside each is the same and is increasing at the rate of 143 T/s.
The field from Bin (left loop) is pointing out of the page and the field from Bout (right loop) is pointing into the page.

a) What is the magnitude of the current in resistor R1?

b) What is the magnitude of the current in resistor R2?

c) What is the magnitude of the current in resistor R3?

Explanation / Answer

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