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+( 2.85×10⁻⁵ T/s⁴)t⁴. The coil is connected to a 580-Ω resistor, and its plane is perpendicular to the magnetic field. You can ignore the resistance of the coil.
Find the magnitude of the induced emf in the coil as a function of time.
O ε = 1.07 × 10⁻² V + (1.05 × 10⁻⁴ V/s³)t³
O ε = 3.36 × 10⁻² V + (8.26 × 10⁻⁵ V/s³)t³
O ε = 3.36 × 10⁻² V + (3.30 × 10⁻⁴ V/s³)t³
O ε = 1.07 × 10⁻² V + (3.30 × 10⁻⁴ V/s³)t³