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^3I had been asked this question by my school teacher while I was bunking the class.This key question is from Advanced Problems on Two Port Network in portion Two-Port Networks 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^3I had been asked this question by my school teacher while I was bunking the class.This key question is from Advanced Problems on Two Port Network in portion Two-Port Networks of Network Theory
Answer» The correct option is (d) 4 t^3 Best explanation: 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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