Question

Figure shows three points $A, B$ and $C$ in a region of uniform electric field $ \overrightarrow{E} $ .The line $AB$ is perpendicular and $BC$ is parallel to the field lines. Then which of the following holds good?

• A. $ {{V}_{A}}={{V}_{B}}={{V}_{C}} $
• B. $ {{V}_{A}}={{V}_{B}}>{{V}_{C}} $
• C. $ {{V}_{A}}={{V}_{B}}<{{V}_{C}} $
• D. $ {{V}_{A}}>{{V}_{B}}={{V}_{C}} $ Where $ {{V}_{A}},{{V}_{B}} $ and $ {{V}_{C}} $ represent the electric potentials at the points A, B and C respectively.

Answer 1

Answer: (B)

Electric lines of force constitute electric field. In an electric field electric lines of force always flow from higher potential to lower potential. Hence, A and B are at same higher potential and B is at lower potential.
Thus, $ {{V}_{A}}={{V}_{B}}>{{V}_{C}} $ .