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?

• A. $\left|{\vec{E}}_1\right|=\left|{\vec{E}}_2\right|,V_1=V_2$
• B. ${\vec{E}}_1|\ne |{\vec{E}}_2\mid ,V_1\ne V_2$
• C. $\left|{\vec{E}}_1\right|\ne \left|{\vec{E}}_2\right|,V_1=V_2$
• D. $\left|{\vec{E}}_1\right|=\left|{\vec{E}}_2\right|,V_1\ne V_2$

Answer 1

Answer: (D)

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