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Question

Physics Question on Electric charges and fields

When air is replaced by a dielectric medium of constant KK. The maximum force of attraction between two charges separated by a distance:

A

increases K1K^{-1} times

B

increases K times

C

decreases K times

D

remains constant

Answer

decreases K times

Explanation

Solution

In air the force of attraction between two charges is Fa=14πϵ0q1q2r2F _{ a }=\frac{1}{4 \pi \epsilon_{0}} \frac{ q _{1} q _{2}}{ r ^{2}}
In dielectric medium the force of attraction between two charges is Fd=F _{ d }=
14πKϵ0q1q2r2=FaK\frac{1}{4 \pi K \epsilon_{0}} \frac{ q _{1} q _{2}}{ r ^{2}}=\frac{ F _{ a }}{ K }
Thus, force decreases K-times.