Two point charges placed at a distance r in air experience a certain force. Then distance at which t

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1. Electric Charges and Fields

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Two point charges placed at a distance $r$ in air experience a certain force. Then the distance at which they will experience the same force in a medium of dielectric constant $K$ is

A

$\frac{r}{K}$

B

$Kr$

C

$\frac{r}{\sqrt K}$

D

$r \sqrt K$

Solution

$\frac{{{q_1}{q_2}}}{{{r^{2}}}}\, = \,\frac{{{q_1}{q_2}}}{{K{r^{'2}}}}$ or $Kr^{'2} \,\,=\,\,r^2$ or $r'\, = \,\frac{r}{{\sqrt K }}$

Standard 12

Physics

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