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Two Parallel Currents

The ratio of ...

Question

The ratio of forces between two charges placed at a certain distance apart in air and at half the distance apart in medium of dielectric k is

A)1:4k

B)k:4

C)4k:1

D)4:k

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Solution

Fa=q1q24πε0r2,Fb=q1q2K4πε0 (r/2)2,⇒Fa:Fb=4;k

F=1/(kr^2)
=4:k

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