Question

In a region of constant potential

• A. The electric field is zero
• B. The electric field is uniform
• C. Both (A) and (B)
• D. None of these

Answer 1

The correct option is C

Both (A) and (B)

Explanation for Correct Answer:

Option (A):

1. We know that if $V$ is the potential difference and $r$ is the distance between two points on the conductor between which then the potential difference is to be measured, then $E=\frac{-dV}{dr}$.
2. From the question, it is given that the potential difference is constant, or $V=$constant.
3. Upon substituting this in the given equation we get $E=\frac{d}{dr}\left(const\right)=0$.
4. Hence, the electric field is zero in a region of constant potential difference.

Option (B):

1. We know that the electric field is zero throughout.
2. Hence, we can say that the electric field is uniform in a region of constant potential.

Option (C):

1. Hence, we can see that both option (A) and option (B) is the correct answer.

Explanation for Incorrect Answer:

Option (D):

1. Since option (C) is the correct answer, “none of these” cannot be an option.

Hence option C is the correct answer.