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Question

A charge q is placed at the centre of the line joining two exactly equal positive charges Q. The systems of these charges will be in equilibrium, if q is equal to

A
Q4
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B
+Q
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C
Q
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D
Q2
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Solution

The correct option is C Q4
At equilibrium, net force will be zero, hence
14πε0×Qq(r/2)2+14πε0×Q2r2=0
4q=Q or q=Q4.

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