The electric field is zero inside a conductor in electrostatic equilibrium because, at this state, charges redistribute themselves on the surface, preventing any internal movement. This phenomenon is explained by Gauss's Law, which indicates that no electric field exists within a cavity of a charged conductor. The voltage remains constant throughout the conductor, resulting in no change in electric potential and thus a zero electric field. It is important to note that this condition only applies when the conductor is not carrying current, as a current would create an electric field inside. Therefore, the conclusion is that the electric field inside a conductor is zero under electrostatic conditions.