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A solenoid wound with 2020 turns/m is supplied with current that varies in time according to...

A solenoid wound with 2020 turns/m is supplied with current that varies in time according to I = (4 A)sin(120πt), where t is in s. A small coaxial circular coil of 40 turns and radius r = 4.1 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. (Use the following as necessary: t.)

(b) At what average rate is energy transformed into internal energy in the small coil if the windings have a total resistance of 8.00 Ω?

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