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 by
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Question

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 by

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G1 Physics · Accepted Answer

Step 1: Coulomb force in a medium is F = kq₁q₂/(K r²). Step 2: Equating it to the original air/vacuum force kq₁q₂/r₀² gives K r'² = r₀², so r' = r₀/√K. Final: C: r/√k.