question_answer

A uniform electric field in the plane of the paper as shown. Here A, B, C, D are the points on the circle. \[{{V}_{1}},{{V}_{2}},{{V}_{3}},{{V}_{4}}\] are the potentials at those points respectively. The

A)  \[{{V}_{A}}={{V}_{C}},{{V}_{B}}={{V}_{D}}\]

B)  \[{{V}_{A}}={{V}_{C}},{{V}_{B}}>{{V}_{D}}\]

C)  \[{{V}_{A}}>{{V}_{C}},{{V}_{B}}>{{V}_{D}}\]

D)  \[{{V}_{A}}={{V}_{B}},{{V}_{C}}={{V}_{D}}\]

E)  None of the Above

Correct Answer: E

Solution :

 ;           In the direction of electric field, electrical potential decreases. \[\therefore \] \[{{V}_{C}}>{{V}_{A}}={{V}_{B}}>{{V}_{D}}\] or \[{{V}_{C}}>{{V}_{D}}={{V}_{A}}={{V}_{B}}\] None of the given options is correct.