Separation between the plates of a paral...

Separation between the plates of a parallel plate capacitor, connected to a battery (zero resistance) of constant emf. is increased with constant (very slow) speed by external forces. During the process, W is the work done by external forces, `DeltaU` is the change in potential energy of the capacitor, `W_b` is the work done by the battery and H is the heat loss in the circuit. Then

`W+W_b=DeltaU`

`H ne 0`

`H=DeltaU`

`W=0`

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