Question

A force ‘F’ is acting between two charges in air. If the space between them be completely filled with a medium K=4, the force will be :

A
F
B
4F
C
F4
D
2F
Solution
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By Coulomb's law, the force between two charges (q1,q2) in air is given by F=q1q24πϵ0r2where r= distance between two charges.Now the force between two charges (q1,q2) in medium with dielectric constant K=4 becomes, F′=q1q24πKϵ0r2So, F′=FK=F4

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