Engineering Board Exam Reviewer · Time Response of Reactive Circuits · hard
In the circuit shown the capacitor is uncharged and the switch closes at t=0 (V=30 V, R1=2 k , R2=3 k , C=10, F). Find the capacitor voltage at t=24 ms.
- 21 V
- 25.9 V
- 2.44 V
- 15.6 V
Answer
D. 15.6 V
Solution
Seen by the capacitor: VTh=VR2/R1+R2=18 V and RTh=R1 R2=1.2 k , so =RThC=12 ms. vC=VTh(1-e-t/ )=18≤ft(1-e-24/12 )=15.6 V.
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