The resultant electric field within a conductor is

zero.

A conductor is a material that allows the easy movement of electric charges. When an electric field is applied to a conductor, the free charges within the conductor redistribute themselves in such a way that the electric field inside the conductor becomes zero. This redistribution of charges results in the charges accumulating on the surface of the conductor, creating an equipotential surface inside the conductor.

The electric field inside the conductor cannot exist because if it did, it would exert a force on the free charges, causing them to move, and hence, would no longer be in equilibrium. The charges will continue to redistribute until the electric field inside the conductor is zero.

Therefore, the resultant electric field within a conductor is always zero, as long as the conductor is in electrostatic equilibrium.

The resultant electric field within a conductor is zero. This is due to a property known as electrostatic equilibrium. In electrostatic equilibrium, the electric charges within the conductor redistribute themselves in such a way that the net electric field within the conductor cancels out.

When an external electric field is applied to a conductor, the free electrons within the conductor will experience a force and redistribute themselves. This redistribution of charges creates an internal electric field that opposes the external electric field. This process continues until the internal electric field cancels out the external electric field, resulting in a net electric field of zero within the conductor.

This property is why the electric field inside a conducting material, such as a metal, is zero. It allows charges to move freely within the conductor, redistributing themselves until electrostatic equilibrium is reached.