NEET Physics Question - Electrostatics

Assertion (A): Potential difference between two points in space is zero if electric field at all points in space is zero.

Reason (R): Electric field \( \vec{E} \) at a point \( P \) is zero if potential at that point is zero.

Both (A) & (R) are true and the (R) is the correct explanation of the (A)

Both (A) & (R) are true but the (R) is not the correct explanation of the (A)

(A) is true but (R) is false

Both (A) and (R) are false

Solution:

If \( \vec{E} = \vec{0} \) everywhere, then \( \vec{E} = -\nabla V = \vec{0} \), implying \( V \) is constant, so \( \Delta V = 0 \). However, \( V = 0 \) at a point does not imply \( \vec{E} = \vec{0} \) (e.g., at the center of an electric dipole). Thus (A) is true and (R) is false.

Rankers Physics

Electric Field and Potential Difference

Solution:

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