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Figure Shows the Field Lines Due to a Positive Point Charge. Give the Sign of Potential Energy Difference of a Small Negative Charge Between the Points Q and P.

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Question

Figure shows the field lines due to a positive point charge. Give the sign of potential energy difference of a small negative charge between the points Q and P.

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Solution

The electric potential at a point distant r due to the field created by a positive charge Q is given by

\[v = \frac{1}{4\pi \epsilon_0}\frac{q}{r}\]

Since rQ > rP, we have:
 VQ < VP
∴ The potential energy difference VP − VQ is positive between Q and P.

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2013-2014 (March) Foreign Set 3

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