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

A 100, resistor is in series with a 0.5 H inductor and a dc source. After the switch closes, how long does it take for the current to reach 90% of its final value?

  1. 4.5 ms
  2. 22.5 ms
  3. 5 ms
  4. 11.5 ms

Answer

D. 11.5 ms

Solution

=L/R=5 ms. 0.9=1-e-t/ t= 10=(5 ms)(2.303)=11.5 ms.

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