Engineering Board Exam Reviewer · Time Response of Reactive Circuits · medium

The switch in the RL circuit shown closes at t=0 with no initial current (V=6 V, R=100, , L=200 mH). Find the voltage across the inductor at t=2 ms.

  1. 3.79 V
  2. 6 V
  3. 2.21 V
  4. 0.812 V

Answer

C. 2.21 V

Solution

The inductor voltage is vL=Ve-t/ with =L/R=2 ms. vL=6 V,e-2 ms/2 ms=2.21 V. (At t=0 the inductor takes the whole source voltage; it falls as the current builds up.)

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