Obtain the expression for energy stored in a capacitor 'C' when it is connected to an electric supply of 'V' volts ?

1 Answer
Jun 26, 2018

Please see the explanation below

Explanation:

The equation for a capacitor is

#q=CU#

The charge is #=qC#

The capacity is #=CF#

The voltage is #=UV#

#U=q/C#

Therefore,

#int_0^WdW=int_0^QUdQ#

#W=int_0^Qq/Cdq#

#W=1/C*1/2[q^2]_0^Q#

#W=1/2q^2/C=1/2CU^2#