Question

Which of the following statements must be true concerning electric field and electric potential?

• A. If the electric field in a region is zero, then the electric potential in the same region is also zero.
• B. If the electric potential in a region is zero, then the electric field in the same region is also zero.
• C. If the electric field in a region is a non-zero constant, then the electric potential in the same region is a non-zero constant.
• D. If the electric potential in a region is a non-zero constant, then the electric field in the same region is a non-zero constant.
• E. None of these are necessarily true.

Answer 1

The correct option is B If the electric potential in a region is zero, then the electric field in the same region is also zero.

The electric field and electric potential are related by ,

$E=-dV/dr$

if $dV=0$ then $E=0$ or $V=constant$ ,

option B is correct .