It states that electric field inside a hollow conductor is zero due to reasons of rearrangement of charges on the surface of a conductor whenever there is an excess charge placed on it and the hollow region (say air) encloses no charge.
How can the work done to move a test charge placed in the interior of the conductor be zero? This is what my textbook says. After all, Work is simply force times displacement and since the test charge would have a mass and there is no field in the conductor or any other force to oppose the motion of a charge should it be set in motion, then the only force acting on the charge is the force you apply to push it through a distance. Shouldn't there be an impulse acting on the object? And hence a force?
Or am I just over thinking it and my textbook simply means there is no work done due to an electric field?