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

The switch in the circuit shown closes at t=0 with the capacitor initially uncharged (V=24 V, R=20 k , C=500 nF). Find the capacitor voltage at t=15 ms.

  1. 5.36 V
  2. 12.7 V
  3. 37.3 V
  4. 18.6 V

Answer

D. 18.6 V

Solution

=RC=10 ms. vC=V(1-e-t/ )=24 V≤ft(1-e-15 ms/10 ms )=18.6 V.

More Time Response of Reactive Circuits questions

  1. At the instant a switch connects an uncharged capacitor to a dc voltage source through a resistor, the capacitor behaves like a
  2. What percentage of its final value has a charging capacitor voltage reached after one time constant?
  3. After how many time constants is a charging capacitor generally considered to be fully charged?
  4. The switch in the series RL circuit shown closes at t=0 (V=15 V, R=50, , L=1 H). Find the time constant.
  5. In the circuit shown the capacitor is uncharged when the switch closes at t=0 (V=30 V, R=5 k , C=10, F). What current flows in the circuit…
  6. The switch in the circuit shown closes at t=0 with the capacitor initially uncharged. The source is 6 V, R=10 k , and C=1, F. Find the…
  7. A 10, F capacitor charged to 50 V is connected through a resistor across an identical uncharged 10, F capacitor. How much energy is…
  8. An RC circuit has a time constant of 0.1 s. After the switch connects it to a dc source, how long does the (initially uncharged) capacitor…
  9. A 5, F capacitor charged to 100 V discharges through a 2 M resistor. What is the capacitor voltage 10 s after the discharge begins?
  10. The capacitor in the circuit shown already holds 6 V (same polarity as the source) when the switch closes at t=0 (V=24 V, R=10 k , C=10…

All Time Response of Reactive Circuits questions