question_answer

A uniform electric field pointing in positive \[x\]-direction exists in a region. Let \[A\] be the origin, \[B\] be the point on the \[x\]-axis at \[x=+1\] cm and \[C\] be the point on the \[y\]-axis at \[y=+1\]cm. Then the potentials at the points \[A\], \[B\] and \[C\] satisfy

A) \[{{V}_{A}}<{{V}_{B}}\]

B) \[{{V}_{A}}>{{V}_{B}}\]

C) \[{{V}_{A}}<{{V}_{C}}\]       

D) \[{{V}_{A}}>{{V}_{C}}\]  

Correct Answer: B

Solution :

[b] Potential decreases in the direction of electric field. Dotted lines are equipotential lines \[\therefore {{V}_{_{A}}}={{V}_{C}}\] and \[{{V}_{A}}>{{V}_{B}}\]