A coil 4.50 cm radius, containing 440 turns, is placed in a uniform magnetic field that varies with time according to B=( 1.20×10−2 T/s )t+(2.95×10−5 T/s4 )t4. The coil is connected to a 700-Ω resistor, and its plane is perpendicular to the magnetic field. You can ignore the resistance of the coil.

a. Find the magnitude of the induced emf in the coil as a function of time.

1. E= 1.07×10^−2 V +( 1.05×10^−4 V/s^3 )t^3
2. E= 3.36×10^−2 V +( 8.26×10^−5 V/s^3 )t^3
3. E= 3.36×10^−2 V +( 3.30×10^−4 V/s^3 )t^3
4. E= 1.07×10^−2 V +( 3.30×10^−4 V/s^3 )t^3

b. What is the current in the resistor at time t0 = 5.25 s ?