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A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.10...

A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.10 cm and 1.00 103 turns/meter (see figure below). The current in the solenoid changes as I = 2.00 sin 120 t, where I is in amperes and t is in seconds. Find the induced emf (in volts) in the 15-turn coil as a function of time.

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