Figure shows equi-potential surfaces for a two charges system. At which of the labeled points point will an electron have the highest potential energy?

Point

A

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Point

B

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Point

C

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Point

D

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Solution

The correct option is B Point $B$

Potential energy when electron at B is $W_{B} = k \frac{(- e) (- q)}{r_{b}} = k \frac{q e}{r_{b}}$ where $r_{b}$ be the distance between $- e$ and $- q$ .

similarly, $W_{C} = k \frac{- q e}{r_{c}}$ and $W_{D} = k \frac{- q e}{r_{d}}$ and $W_{A} = 0$

Thus, the highest potential energy point will be B.

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Figure shows equi-potential surfaces for a two charges system. At which of the labeled points point will an electron have the highest potential energy?

The correct option is B Point B Potential energy when electron at B is WB=k(−e)(−q)rb=kqerb where rb be the distance between −e and −q. similarly, WC=k−qerc and WD=k−qerd and WA=0 Thus, the highest potential energy point will be B.