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^3The question was posed to me during an internship interview.My query is from Advanced Problems on Network Theorems in portion Useful Theorems in Circuit Analysis of Network Theory

A voltage waveform V(t) = 12t^2 is applied across a 1 H inductor for t

1.	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^3The question was posed to me during an internship interview.My query is from Advanced Problems on Network Theorems in portion Useful Theorems in Circuit Analysis of Network Theory
Answer» The correct CHOICE is (d) 4 t^3 For explanation I would say: We KNOW that, I = \(\frac{1}{L} \int_0^t V \,dt\) = 1\(\int_0^t 12 t^2 \,dt\) = 4 t^3.

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