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A solenoid has a radius Rs = 3 centimeter, length L = 32 centimeter, and Ns = 125 turns. The current in the solenoid goes from 8.10 Amp to 3.30 Amp in 4 second.

(a) A 6 centimeter by 6 centimeter square coil with a single turn is located with the solenoid inside it and with its plane perpendicular to the axis of the solenoid. Compute the magnitude of average induced emf in the coil.

(b) If the square coil instead has sides of length 2 centimeter so that it is entirely inside the solenoid, find what will be the magnitude of the average induced emf in the coil if the current goes from 8.10 Amp to 3.30 Amp in 4 second?

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