Question: A solenoid wound with 2 000 turns/m is supplied with current that varies in time according to I = (4A) sin (120t), where t is

A solenoid wound with 2 000 turns/m is supplied with current that varies in time according to I = (4A) sin (120πt), where t is in seconds. A small coaxial circular coil of 40 turns and radius r = 5.00 cm is located inside the solenoid near its center.
(a) Derive an expression that describes the manner in which the emf in the small coil varies in time.
(b) At what average rate is energy delivered to the small coil if the windings have a total resistance of 8.00 Ω?

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