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Q.

As per this diagram a point charge +q is placed at the origin O. Work done in taking another point charge −Q from the point A [co-ordinates (0, a)] to another point B [co-ordinates (a, 0)] along the straight path AB is

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a

Zero

b

−qQ4πε01a2 2a

c

qQ4πε01a2 a2

d

qQ4πε01a2 2a

answer is A.

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Detailed Solution

Since A and B are at equal potential so potential difference between A and B is zero. Hence W=QΔV=0.
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As per this diagram a point charge +q is placed at the origin O. Work done in taking another point charge −Q from the point A [co-ordinates (0, a)] to another point B [co-ordinates (a, 0)] along the straight path AB is