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Network Elements and the Concept of Circuit

  1. For the circuit shown below, C1 = C2 = 2F and the capacitor C1 has a voltage of 20V when S is open. If the switch S is closed at t = 0, the voltage Vc2 will be a—


    1. Fixed voltage of 20V
    2. Fixed voltage of 10V
    3. Fixed voltage of – 10V
    4. Sinusoidal voltage
Correct Option: D

Applying KVL in s-domain

LS + 2 I(s) =
20
2Ss

LS + 1 I(s) =
20
Ss

I(s) =
20
LS2 + 1

VC2(s) =
1
I(s) =
1
.
20
SC2SC2LS2 + 1

Here A + B are constant after taking inverse laplace VC2 (t) will be sinusoidal voltage.
Hence alternative (D) is the correct choice.



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