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Question

The plates of a capacitor are charged to potential difference of V volts and then connected across a resistor. The potential difference across the capacitor decreases exponentially with respect to time. After one second, the potential difference between the plates is V/3; then after two seconds from the start the potential difference between the plates is :

A
V/27
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B
V/6
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C
V/9
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D
V/3
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Solution

The correct option is A V/27

V=V0eαt

V3=Veα

eα=13

V2=V0(eα)2

V(13)2=V9

V3=V(eα)3

=V27


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