A charged capacitor is discharged through a resistance. The time constant of the circuit is `eta`. Then the value of time constant for the power dissipated through the resistance will be

Options

A. `eta`
B. `2eta`
C. `eta/2`
D. zero

Answer

C

Explanation

`P=i^2R=(i_0e^(-t//eta))^2R`
`=(i_0^2R)e^(-2t//eta)`
`=P_0e^(-t//(n//2))`
Hence, the time constant is `eta/2`.