Question #291338

9.2.Two point charges in air at a distance of 20 cm from each other


interact with a certain force. At what distance from each other should


these charges be placed in oil to'obtain the same force of interaction?

1
Expert's answer
2022-02-01T11:39:13-0500

Fair=14πε0q1q2r1.......(i)F_{air}= \frac{1}{4\piε_0} \frac{q_1q_2}{r_1}.... ...(i)

Fmedium=14πε0kq1q2d2.......(ii)F_{medium}= \frac{1}{4\piε_0k} \frac{q_1q_2}{d^2}.... ...(ii)

Substituting equation (i) by (ii) we get,

1r2=1k×1d2\frac{1}{r^2}=\frac{1}{k}×\frac{1}{d^2}

d=r2kd= \sqrt{\frac{r^2}{k}} ​

r=20cm

k=5

d=2025=80=8.94cmd= \sqrt{\frac{20^2}{5}} =\sqrt{80} = 8.94cm

d=8.94×102Md=8.94×10^{-2}M

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