Question

Which expression gives the work done in transferring charge \(q\) through potential difference \(V\) in a capacitor?

Options

• \[W=\frac{1}{2}qV\]

• \[W=qV\]

• \[W=\frac{1}{2}\frac{V}{q}\]

• \[W=\frac{q}{2V}\]

Answer 1

The work done, which is stored as energy, is \(W=\frac{1}{2}qV\). The factor of \(\frac{1}{2}\) accounts for the potential difference increasing as the capacitor charges.