A battery is used to charge a parallel plate capacitor till the potential difference between the plates become equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work clone by the battery will be .......

Options

A. 1
B. 2
C. `(1)/(4)`
D. `(1)/(2)`

Answer

A, B

Explanation

If V is voltage of the battery and Q is the charge on capacitor then the work done by the battery W = QV
`= CV xx V = CV^(2)`
The energy stored in capacitor
`U =(1)/(2) CV^(2)`
`:. " Ratio " (U)/(W) = ((1)/(2)CV^(2))/(CV^(2))=(1)/(2)`