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A coil 4 cm in radius, containing 500 turns, is placed in a uniform magnetic field...

A coil 4 cm in radius, containing 500 turns, is placed in a uniform magnetic field that varies with time according to B = 5.0 -0.1t + .012t^3 – 1.5e-0.3^t Tesla. The coil is connected to a 100 Ω resistor with its plane being perpendicular to the magnetic field.

(i) What will be the emf generated in the coil as a function of time?

(ii) What will be the current in the resistor at a time t = 5 sec

(iii) If the coil is also rotated at the rate of 50 RPM what will be the current through the resistor at t = 5 seconds .

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