1. Electric Charges and Fields
medium

Two point charges placed at a certain distance $r$ in air exert a force $F$ on each other. Then the distance $r'$ at which these charges will exert the same force in a medium of dielectric constant $k$ is given by

A

$r$

B

$r/k$

C

$r/\sqrt k $

D

$r\sqrt k $

Solution

(c) $F = F'$ or $\frac{{{Q_1}{Q_2}}}{{4\pi {\varepsilon _0}{r^2}}} = \frac{{{Q_1}{Q_2}}}{{4\pi {\varepsilon _0}r{'^2}K}} \Rightarrow r' = \frac{r}{{\sqrt K }}$

Standard 12
Physics

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