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Question

Two point charges 2q and 8q are placed at a distance r apart. Where should a third charge -q be placed between them so that the electrical potential energy of the system is a minimum.


A
At a distance of r/3 from 2q.
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B
At a distance of 2r/3 from 2q.
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C
At a distance of r/16 from 2q.
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D
There is no such position.
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Solution

The correct option is C There is no such position.
The potential energy can be as negative as we want by placing the negative charge infinitesimally close to one of the positive charges.

Physics

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