First slide

Coulumbs law

Question

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

Easy

A

r/K
B

Kr
C

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

$r + \sqrt{K}$

Solution

$\frac{q_{1} q_{2}}{r^{2}} = \frac{q_{1} q_{2}}{Kr'^{2}} or Kr'^{2} = r^{2} or r' = \frac{r}{\sqrt{K}}$

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