First slide

Equipotential surfaces

Question

Consider two points 1 and 2 in a region outside a charged sphere. Two points are not very far away from the sphere. If E and V represent the electric field vector and the electric potential, which of the following is not possible?

Easy

A

$|{\vec{E}}_{1}| = |{\vec{E}}_{2}|, V_{1} = V_{2}$
B

${\vec{E}}_{1} | \neq | {\vec{E}}_{2} ∣, V_{1} \neq V_{2}$
C

$|{\vec{E}}_{1}| \neq |{\vec{E}}_{2}|, V_{1} = V_{2}$
D

$|{\vec{E}}_{1}| = |{\vec{E}}_{2}|, V_{1} \neq V_{2}$

Solution

Outside the charged sphere, for equal distances from centre if electric fields at two points are same, then both points must be equipotential points.

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