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Network Elements and the Concept of Circuit

  1. The capacitor C1 in the circuit shown has a voltage of 20 V across it before the switch S is closed at time t = 0. C1 = 2 µF and C2 = 3 µF. The voltage across C2 after S is closed is—


    1. 8 V
    2. 10 V
    3. 12 V
    4. 15 V
Correct Option: A

Initial charge on C1 = 2 × 10– 6 × 20 = 40 × 10– 6 C Since charge remain the same so,
C = C1 + C2 = 5 µF

V=
Q
+ 10 =
40 × 10–6
= 8 V
C5 × 10–6

Alternate method
q0 = C1 V0
q0 = q1 + q2
V=
C
V0 =
2
× 20 = 8 V
C1 + C25



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