A coil of 12 turns and radius 10.0 cmsurrounds a long solenoid of radius 2.10cm and 1.00x103 turns/meter. Thecurrent in the solenoid changes as I = (8.00 A) sin(110 t). Find the induced emf in the 12-turn coilas a function of time t. (For this question only, assumethat all trailing zeros are significant, and provide exactly 3significant figures for all numbers included in your expressionbelow.)