Question

Which statement is correct?

A. If the electric field is zero everywhere inside a region of space, the potential must also be zero in that region.
B. When the electric field is zero at a point, the potential must also be zero there.
C. If the electrical potential in a region is constant, the electric field must be zero everywhere in that region.
D. If the electric potential at a point in space is zero, then the electric field at that point must also be zero.

Answer 1

The answer is "Choice C ".

Step-by-step explanation:

The relationship between the E and V can be defined as follows:

`\to E= -\Delta V`

Let,

`\to E= (\delta V)/(\delta x)`

When E=0

`\to (\delta V)/(\delta x)=0`

v is a constant value

Therefore, In the electric potential in a region is a constant value then the electric-field must be into zero that is everywhere in the given region, that's why in this question the "choice c" is correct.