Question

A voltage waveform V(t) = 12t^2 is applied across a 1 H inductor for t ≥ 0, with initial electric current through it being zero. The electric current through the inductor for t ≥ 0 is given by __________

(a) 12 t

(b) 24 t

(c) 12 t^3

(d) 4 t^3

Answer 1

The correct option is (d) 4 t^3

Best explanation: We know that, I = \(\frac{1}{L} int_0^t V ,dt\)

= \(1int_0^t 12 t^2 ,dt\)

= 4 t^3.