An electric charge 10-3 µC is placed at origin (0, 0). Two points A and B are situated at (√2, √2) and (2, 0) respectively. The potential difference between points A and B will be:

Correct answer: B. Zero

  • A. 9 volts
  • B. Zero
  • C. 2 volts
  • D. 4.5 volts

Explanation

The electric potential at any point due to a point charge is given by V = kQ/r, where k is Coulomb's constant, Q is the charge, and r is the distance from the charge to the point. For points A and B, the potential difference (VA - VB) relies on their respective distances from the charge. Since both points A and B are equally distanced from the charge (i.e., rA = rB), the potential difference is zero. This confirms that the correct answer is zero. The other options are incorrect as they propose non-zero values, which do not align with the condition of equidistant points having zero potential difference.

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