A resistor and a capacitor are connected in series across an ideal battery havin

Question

A resistor and a capacitor are connected in series across an ideal battery having a constant voltage across its terminals. At the moment contact is made with the battery, the voltage across the capacitor is A) equal to the battery's terminal voltage. B) less than the battery's terminal voltage, but greater than zero. C) equal to the battery's terminal voltage. D) zero. A light bulb is connected in the circuit shown in the figure with the switch S open and the capacitor unchanged. The battery has no appreciable internal resistance. Which one of the following graphs best describes the brightness B of the bulb as a function of time t after closing the switch?

Explanation / Answer

(a)

We know that,

charge store in capacitor at time t,

q = C*V*(1 - e^(-t / RC))

at the moment contact is made with battery,

t = 0

At the time t = 0,

Voltage across capacitor is 0 and across resistor is equal to terminal voltage of battery.

so, option d is correct.

(b)

For part b, you did not give the graphs.

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