A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.00 cm

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A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.00 cm and 1.00 x 103 turns/meter (Fig P31.10) the current in the solenoid changes as I = (5.00 A) sin (120t). Find the induced emf in the 15-turn coil as a function of time.
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