When the distance between the centers of two charged spheres is increased by 10%

Question

When the distance between the centers of two charged spheres is increased by 10%, how much does the magnitude of the electric force on one of the spheres change? Which one and why: -The force must increase by about 20%. - The force must decrease by 10%. -If the two spheres both have the same sign charge, the force decrease about 20%, but if they have opposite charge it increases by about 20%. -The force must decrease by about 5%. -You have to know the details on the charge on the spheres to answer. - If the two spheres both have the same sign charge, the force increases about 20%, but if they have opposite charge it decreases by about 20%. -The force must decrease by about 20%. --The force must increase by 10%. -The force must increase by about 5%.

Explanation / Answer

we can assume sphere as point charge at its center
so force on any sphere = kq2/r2

now new R= 1.10r

new force F = .826f decreased by 17.4% (we increase des. )

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