By evaluating `int i^(2)Rdt`,show that when a capacitor is charged by connecting it to a battery through a resistor,the energy dissipated as heat equals the energy stored in the capacitor.

Explanation

`i_2 rdt = i_0 r e^(-2t/rc) dt`
`= i_0 r e^(-2t//rc) dt`
`= i_0 r ((-rc)/(2)) e^(-2t//rc)`
`=1/2 ci_0 r^2 e^(2t//rc) = 1/2 cv^2`. (Proved)