A solenoid with cross sectional area 0.5 m^2 containing 1500 turns is placed in a uniform magnetic field that varies with time according to B(t) = (0.05 T/s^2) t^2. The coil is connected to a 200 Ω resistor, and its plane is perpendicular to the magnetic field. i) Find the magnitude of the induced emf in the coil as a function of time. ii) Calculate the current in the resistor at time t = 5 s.

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