Sunday, 30 November 2014

electrostatics - What happens to half of the energy in a circuit with a capacitor?


For a simple circuit with a battery supplying a voltage $V$ to a capacitor, let us assume that the charge on the capacitor is $Q$. Now, the work done by the battery or the energy supplied is given by the relation:


$$W=QV$$


But the energy stored in the capacitor is given by:



$$U = \tfrac12 QV$$


The value of $Q$ as well as that of $V$ should be the same in both the equations.


Now my question is, where is the other half of the energy that the battery supplied?




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