ElectroMagnetic InductionHard

Question

A time varying voltage V = 2t volt is applied across an ideal inductor of inductance L = 2H as shown in figure. Then select incorrect statement
                                 

Options

A.current versus time graph is a parabola
B.energy stored in magnetic field at t = 2 s is 4J
C.potential energy at time t = 1 s in magnetic field is increasing at a rate of 1J/s
D.energy stored in magnetic field is zero all the time

Solution

V = 2t ⇒ L = 2t ⇒ 2 × = 2t ⇒ ⇒ i = ⇒ i - t graph parabola
U = Li2 = × 2 × 4 = 4J and = Li = 2 × × t = t3 = 1J/s

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