Engineering Board Exam Reviewer · Time Response of Reactive Circuits · medium
The capacitor in the circuit shown is initially uncharged and the switch closes at t=0 (V=48 V, R=2 k , C=10, F). How long does it take the capacitor voltage to reach 24 V?
- 10 ms
- 13.9 ms
- 50 ms
- 27.7 ms
Answer
B. 13.9 ms
Solution
=RC=20 ms. From vC=V(1-e-t/ ): t=- !≤ft(1-vC/V )=-(20 ms) (1-0.5)=13.9 ms.
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