Question

force between two identical sphere charged with same charge is F if 50% charge of one sphere is transferred to the other sphere then the new force will be​

Answer 1

Electrostatic force F between two similar charges q which are at distance d apart from each other is given by,

F = q2 / [ (4πε) d2 ] ......................(1)

where ε is permitivity of medium.

when medium remains same and distance d is not altered, then force F is directly proportional to square of charges.

Hence we write , F = C×q2 ..................(2)

where C is constant.

if 50% of charge of one sphere is transfered to other sphere,

then modified force F ' = C (0.5q)×(1.5q) = C 0.75q2 .......................(3)

from (2) and (3), we get F ' = 0.75 F