Question

Which potential–field relation is used to show that potential is constant inside a conductor?

Options

• \[E=\frac{dV}{dx}\]

• \[E=-\frac{dV}{dx}\]

• \[E=-\frac{dx}{dV}\]

• \[E=\frac{\sigma}{\varepsilon_0}\hat{n}\]

Answer 1

The potential–field relation is \(E=-\frac{dV}{dx}\). With \(E=0\) inside the conductor, \(\frac{dV}{dx}=0\), so the potential is constant.