Question

Two charges are separted by a distance d and exert mutual attractive forces of f on each other. If the charges are separated by a distate of 2d what are the new mutual forces?

Answer 1

The new force between the charges when the distance become 2d will be  F'=4F

What is electrostatic force?

When two charged particles are separated by the distance d then the force of attraction or repultion acts on the charged particle depending upon the nature of the charge whether it is positive or negative.

The formula for the electrostatic force is given by

$F=\dfrac{kq_1q_2}{d^2}$

Now if the value of d becomes 2d then the formula will become:

$F'=\dfrac{kq_1q_2}{(2d)^2}=\dfrac{kq_1q_2}{4d}$

$\dfrac{F'}{F}=\dfrac{1}{4}$

$F=4F'$

Hence the new force between the charges when the distance become 2d will be  F'=4F

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