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Question

Physics Question on electrostatic potential and capacitance

When air is replaced by a dielectric medium of constant K, the maximum force of attraction between two charges separated by a distance

A

increases K times

B

remains unchanged

C

decreases K times

D

increases K1 K^{-1} times

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.