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

A 0.2 H coil carrying 2 A is suddenly switched so that its current must flow through a total resistance of 50, (no source). What is the voltage across the resistance at the instant after switching?

  1. 50 V
  2. 36.8 V
  3. 200 V
  4. 100 V

Answer

D. 100 V

Solution

The inductor current cannot change instantly, so the 2 A continues through the resistance: v=iR=(2)(50)=100 V (decaying afterward with =L/R=4 ms).

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