Two point charges placed at a distance r

Asked by admin @ 25/08/2021 in Physics viewed by 363 People

Two point charges placed at a certain distance r in air exert a force F on each other. Then the distance R at which these charges will exert the same force in a medium of dielectric constant K is given

Answered by admin @ 25/08/2021

F (air) = (1/4 pi eo) [qQ/r^2]

F(medium) = (1/4 pi eo*k) [qQ/R^2]
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given> F(medium) = F(air)
(1/4 pi eo*k) [qQ/R^2] = (1/4 pi eo) [qQ/r^2]
(1/k) [1/R^2] = [1/r^2]
kR^2 = r^2
R^2 = r^2/k
R = r/ [rootk]

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