Wo charged spheres are 1.5 m apart and are exerting an electrostatic force (fo) on each other. if the charge on each sphere decreases by a factor of 9, determine (in terms of fo) how much electrostatic force each sphere will exert on the other.

F0 / 81

Explanation:

Let the two charges by Q and q which are separated by d.

By use of coulomb's law

F0 = k Q q / d^2      (1)

Now the charges are decreased by factor of 9.

Q' = Q / 9

q' = q / 9                 (2)

Now the Force is

F' = k Q' q' / d^2

F' = k (Q /9) (q / 9) / d^2

F' = k Q q / 81d^2

F' = F0 / 81      

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