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Q.

An electric charge $10^{- 3} µ C$ is placed at the origin (0, 0) of X-Y coordinate system. Two points A and B are situated at $(\sqrt{2}, \sqrt{2})$ and (2, 0) respectively. The potential difference between the points A and B will be

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a

9 V

b

zero

c

2 V

d

4.5 V

answer is B.

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Detailed Solution

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$\begin{array}{l} V_{A} = \frac{1}{4 {πε}_{0}} \times \frac{10^{- 3}}{2}; V_{B} = \frac{1}{4 {πε}_{0}} \times \frac{10^{- 3}}{2} \\ ∴ V_{A} - V_{B} = 0 \end{array}$

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An electric charge 10-3µC is placed at the origin (0, 0) of X-Y coordinate system. Two points A and B are situated at (2,2) and (2, 0) respectively. The potential difference between the points A and B will be