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  4. Two equally charged identical small balls kept some fixed distance apart exert a repulsive force F on each other. A similar uncharged ball, after touching one of them is placed at the mid-point of line joining the two balls. Force experienced by the third ball is

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Q. Two equally charged identical small balls kept some fixed distance apart exert a repulsive force $F$ on each other. A similar uncharged ball, after touching one of them is placed at the mid-point of line joining the two balls. Force experienced by the third ball is

Electric Charges and Fields

Solution:

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$F_{1}=F=\frac{K Q^{2}}{r^{2}}\,\,\,...(i)$
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$\left|F_{\text{Net}}\right|=\left|F_{2}-F_{1}\right|$
$=\frac{K Q^{2} 4}{4 r^{2}}-\frac{K Q^{2} 4}{2 r^{2}}$
$\frac{K Q^{2}}{r^{2}}=F$
Force remain's constant