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Q.

A and B are two points at a separation of 50 cm in a uniform electric field of 24 V/m. If VA and VB are potentials at A and B respectively, the select the wrong option.

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a

VA−VB=+12V

b

VA−VB=0

c

VA−VB=+15V

d

VA−VB=−12V

answer is C.

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Detailed Solution

If A and B are on the same straight line and electric field lines are directed from A to B, then VA−VB=24×0.5 V=12V. If A and B are on the same straight line parallel to E→ and electric field lines are directed from B to A, then VA−VB=−24×0.5V=−12V. If A and B are on the same straight line which is perpendicular to E→, then A and B are on the same equipotential plane and VA−VB=0. So maximum potential difference between A and B is 12 volt.Hence option (3) is correct.
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