How does the force between the two point charges change if the distance between them is doubled?

How does the force between the two point charges change if the distance between them is doubled?

Text Solution

Solution : From Coulombs law, `F prop 1/d^(2)`. So <br> (a) When distance is reduced to half, force increases by four times. `[ :' F_(2)=(F_(1)d_(1)^(2))/((d_(1)/2)^(2))=4F_(1)]` <br> (b) When distance is doubled, then force is reduced by four times. `[ :' F_(2)=(F_(1)d^(2))/(|2d_(1)|^(2))=1/4 F_(1)]`