Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectric Field and Potential
Let E and V respectively denote the electric field and electric potential at a given point.
Options
- AIf E eq 0 , then V can be zero.
- BIf E = 0 , then V is necessarily zero.
- CIf V = 0 , then E is necessarily zero.
- DIf V eq 0 , then E can be zero.
Correct answer
D. If V eq 0 , then E can be zero.
Step-by-step solution
The electric field E and electric potential V are related by E = - dV dr . At the midpoint of the line joining two equal and opposite charges (an electric dipole), the net electric potential V = 0 , but the net electric field E 0 . Thus, if E 0 , V can be zero. Inside a uniformly charged hollow spherical shell, the electric field E = 0 everywhere, but the electric potential V is non-zero and constant (equal to the potential at the surface). Thus, if V 0 , E can be zero. Therefore, statements (1) and (4) are correct