An Uncharged capacitor `C` is connected to a battery through a resistance `R`. Show that by the time the capacitor gets fully charged, the energy dissipated in ``R is the same as the energy stored in `C`.

Answer

A

Explanation

Charge supplied by the battery
`q=CV`
Energy supplied by the battery
`E=qV=CV^2`
Energy stored in the capacitor
`U=1/2CV^2`
`:.` Energy dissipated across `R` in the form of heat
`=E-U=1/2CV^2=u`