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An electric charge 10−3 μC is placed at the origin (0, 0) of X − Y co-ordinate 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

1. 4.5 volts
2. 9 volts
3. Zero
4. 2 volt

Correct answer: Zero

Solution

A=(sqrt2,sqrt2) is at distance sqrt(2+2)=2 and B=(2,0) is at distance 2 from the origin charge. A point charge's potential depends only on distance, so V_A - V_B = 0.

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