Inside a metal conductor, why is it not possible to have a static charge configuration if there is a net electric field?

Inside a metal conductor, the presence of a net electric field cannot sustain a static charge configuration due to the nature of charge distribution in metals.

To understand why this is the case, we need to consider the behavior of electrons in a conductor. Inside a metal, there are plenty of free electrons that are not bound to individual atoms, but rather move freely within the material. When an external electric field is applied to the conductor, these free electrons experience a force.

Under the influence of the electric field, the free electrons start to move in response. They will redistribute themselves in such a way that the resulting electric field inside the conductor becomes zero. This redistribution of charges continues until equilibrium is reached.

This behavior can be explained by a principle called electrostatic shielding. When the net external electric field is applied, the free electrons in the conductor will redistribute themselves on the surface of the conductor. This redistribution creates an equal and opposite electric field inside the conductor, which cancels out the external electric field.

The redistribution of charges in a conductor happens so quickly that it eliminates any net electric field inside the conductor. As a result, it is not possible to maintain a static charge configuration within a metal conductor when there is a net electric field present.

In summary, the presence of a net electric field inside a metal conductor cannot lead to a static charge configuration because the free electrons in the conductor redistribute themselves in such a way that the resulting electric field inside the conductor becomes zero, through a process known as electrostatic shielding.