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Question

# Two small, identical spheres having +Q and −Q charge are kept at a certain distance F force acts between the two. If in the middle of two spheres, another similar sphere having +Q charge is kept, then it experiences a force in magnitude and direction as

A
Zero having no direction
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B
8F towards +Q charge
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C
8F towards Q charge
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D
4F towards +Q charge
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Solution

## The correct option is C 8F towards −Q chargeF=FAB=14πε0.(−Q2r2)F′=FAO+FOB=14πε0.(4Q2r2)+14πε.(−4Q2r2)=4F+4F=8F [-ve sign indicates attractive force]The sphere experiences 8F force towards (−Q) charge.

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