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For the circuit shown in figure, find current i(t) after the switch moves from position '1' to position '2' -

For the circuit shown in figure, find current i(t) after the switch moves from position '1' to position '2' - Correct Answer <span style="">-2e</span><span style=" line-height: 0; position: relative; vertical-align: baseline; top: -0.5em; font-size:10.5px;">−5t</span>

Concept:

The inductor does not allow sudden change of current.

Hence, iL(0-) = iL(0+)

Current expression for an RL circuit would be;

i(t) = i(∞) + e-Rt/L

Calculation:

at t = 0-

Switch is connected to position 1

e-Rt/L

⇒  i(t) = 0 + e-20t/4

 ∴ i(t) = -2e-5t

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