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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Electric Field and Potential

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Electric Field and Potential

At the origin, the electric field is directed along the positive x...

At the origin, the electric field is directed along the positive xx-axis. A small circle centred at the origin intersects the axes at points AA, BB, CC, and DD, which have coordinates (a,0)(a, 0), (0,a)(0, a), (−a,0)(-a, 0), and (0,−a)(0, -a) respectively. Among the points located on the periphery of the circle, the electric potential is minimum at

Options

  1. ABB
  2. BCC
  3. CDD
  4. DAA

Correct answer

D. AA

Step-by-step solution

The relation between electric field E⃗\vec{E} and electric potential VV is given by dV=−E⃗⋅dr⃗dV = -\vec{E} \cdot d\vec{r}.

This implies that the electric potential decreases in the direction of the electric field.

Since the electric field at the origin is directed along the positive xx-axis, the potential decreases as the xx-coordinate increases.

The points on the circle are A(a,0)A(a, 0), B(0,a)B(0, a), C(−a,0)C(-a, 0), and D(0,−a)D(0, -a).

Among these points, point AA has the maximum xx-coordinate (x=ax = a).

Therefore, the electric potential is minimum at point AA.
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