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Question: The plates of a capacitor are charged to potential difference of V volts and then connected across a...

The plates of a capacitor are charged to potential difference of V volts and then connected across a resistor. The potential difference across a capacitor decreases exponentially w.r.t. 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

2V/3

B

V/6

C

V/9

D

V/3

Answer

V/9

Explanation

Solution

During discharging VC = Ee−t/RCe ^ { - t / R C }

t = 1, V1 = V =

\ = 13\frac { 1 } { 3 } ……(1)

after 2 sec V2 = V e−2/RC\mathrm { e } ^ { - 2 / R C } = V (13)2=V9\left( \frac { 1 } { 3 } \right) ^ { 2 } = \frac { V } { 9 }