A capacitor `C` is connected to two equal resistances as shown in the figure. Consider the following statemets

i. At the time of charging of capacitor time constant of the circuit is `2CR`
ii. At the time of discharging of the capacitor the time constant of the circuit is `CR`
iii. At the time of discharging of the capacitor the time constant of the circuit is `2CR`
iv At the time of charging of the capacitor the time constant of the circuit is `2CR`

Options

A. statements i and ii only are correct
B. statements ii and iii only are correct
C. statements iii and iv only are correct
D. statements i and iii only are correct

Answer

C

Explanation

During charging capacitor and resistance of its wire are indenpendently connected with the battery. Hence
`tau_C=CR`
During discharging capacitor is discharged through both resistors (in series). Hence
`tau_C=C(2R)=2CR`