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A voltage waveform V(t) = 12t2 is applied across 1 H inductor for t ≥ 0, with initial current through it being zero. The current through in…

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A voltage waveform V(t) = 12t2 is applied across 1 H inductor for t ≥ 0, with initial current through it being zero. The current through inductor for t ≥ 0 will be-
  • A4t3
  • B12t3
  • C24 t
  • D12 t
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CCommunity
Given that, V(t) = 12t2

We know that, $(I = \smallint \frac{{V\left( t \right)}}{L}dt)$

$(I = \smallint 12{t^2}dt = 4{t^3})$