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In figure given below, capacitor 'C' is charged to V0 = 100 V with upper plate positive. At time t = 0, switch S is closed. Current through the circuit at t = 0 and final voltage across 'C' are __________.

A 200 V source in series with switch S, diode D and R = 10 ohm charging a capacitor whose upper plate is plus and whose voltage is VC

  • A.20 A, 200 V
  • B.10 A, 200 V
  • C.20 A, 150 V
  • D.10 A, 150 V

Answer: B

The current at \(t = 0\) is 10 A and the final capacitor voltage is 200 V.

At the instant the switch closes, the capacitor already holds 100 V opposing the 200 V source, and the diode is forward biased because the source is the higher. The net voltage drives the current through R:

\[ i(0) = \frac{200 - 100}{10} = 10\ \text{A} \]

The capacitor then charges until its voltage equals the source voltage, 200 V, at which point the current falls to zero; the diode stops it from reversing. 20 A ignores the initial charge on the capacitor, and 150 V is only the average of the two voltages, not where the charging stops.

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