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  4. Electric potential at the mid point of two identical point charges placed at some distance is V . If 25 % of charge of one point charge is transferred to another then new potential at mid point will be -

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Q. Electric potential at the mid point of two identical point charges placed at some distance is $V$ . If $25\%$ of charge of one point charge is transferred to another then new potential at mid point will be -

NTA AbhyasNTA Abhyas 2020

Solution:

Solution
$V_{1}=\frac{K Q}{r}\times 2=\frac{2 K Q}{r}$
Solution
$Q-\frac{Q}{4}Q+\frac{Q}{4}$
$=\frac{3 Q}{4}\frac{5 Q}{4}$
$V_{2}=\frac{K \left(\frac{3 Q}{4}\right)}{r}+\frac{K \left(\frac{5 Q}{4}\right)}{r}$
$=\frac{K Q}{r}\left(\frac{3}{4} + \frac{5}{4}\right)=\frac{k Q}{r}\left(\frac{8}{4}\right)=\frac{2 K Q}{r}=V$