Answer:
The statement that is false is D. If V is constant throughout a region of space, then E must be zero in that region.
Step-by-step explanation:
The opposite is true. If the electric potential V is constant throughout a region of space, then the electric field E must be zero in that region. This is because the electric field is related to the gradient of the potential, which is zero in a region of constant potential. The electric field is non-zero only where there is a potential gradient, i.e., where the potential changes from one point to another...