Consider the RC circuit in the figure below. The switch was at position a for a

Question

Consider the RC circuit in the figure below. The switch was at position a for a long period of time and it is suddenly switched to position b at time t = 0. For each statement select True or False. a) In the instant after the switch is thrown, the voltage across the capacitor is zero. b) The current through the resistor equals the current across the capacitor at all times. c) In the instant after the switch is thrown the voltage across the resistor is zero. d) In the instant after the switch is thrown the current across the capacitor is zero.

Explanation / Answer

The capacitor voltage varies as V(t) = Vbe-t/RC.Thus the current in the circuit will be I = -C dVc/dt implies current I = VbCe-t/RC .

a) False ,because the capacitor volatge will not become zero instantaneously.

b) True,because the current is same in the whole circuit.

c) Flase,because the current is nonzero at the instant switch is changed .so voltage is finite across resistor.

d) False ,the current is finite as shown by the expression above.

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