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Question

Physics Question on Electrostatics

Two charged particles, placed at a distance d apart in vacuum, exert a force F on each other. Now, each of the charges is doubled. To keep the force unchanged, the distance between the charges should be changed to_____
Fill in the blank with the correct answer from the options given below.

A

4d

B

2d

C

d

D

d2\frac{d}{2}

Answer

2d

Explanation

Solution

According to Coulomb’s law, F=kq1q2d2F = \frac{k q_1 q_2}{d^2}​​. When charges are doubled, the distance must increase by a factor of 2 to keep the force constant.