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

The curve shows the capacitor voltage after a switch connects an uncharged capacitor in series with a 2 k resistor to a dc source. The labeled point is 63.2% of the final value. Find the capacitance.

  1. 2, F
  2. 1, F
  3. 0.5, F
  4. 1.5, F

Answer

B. 1, F

Solution

The time constant is the time at which vC reaches 63.2% of its final value. The plot gives =2 ms. C= /R= 2 ms2 k =1, F.

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