Two similar spheres having +q and -q charge are kept at a certain distance. The force acting between the two is F. If in the middle of two spheres, another similar sphere having +q charge is kept, then it experience a force in magnitude and direction as

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8F towards +q charge

8F towards -q charge

zero having no direction

4F towards +q charge

answer is C.

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Detailed Solution

Initially, force between A and C, F = $k \frac{q^{2}}{r^{2}}$

When a similar sphere B having charge +q is kept at the mid point of line joining A and C, then

Net force on B is $F_{net} = F_{A} + F_{C} = k \frac{q^{2}}{{(r / 2)}^{2}} + \frac{{kq}^{2}}{{(r / 2)}^{2}} = 8 \frac{{kq}^{2}}{r^{2}} = 8 F$ (Direction is shown in figure)

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