Two small, positively charged spheres have a combined charge of 5.0 x 10 -5 c. if each sphere is repelled from the other by an electrostatic force of 1.0 n when the spheres are 2.0 m apart, what is the charge, in micro-coulomb, on the sphere with the smaller charge?

Explanation:

It is given that,

Let q₁ and q₂ are two small positively charged spheres such that,

.............(1)

Force of repulsion between the spheres, F = 1 N

Distance between spheres, d = 2 m

We need to find the charge on the sphere with the smaller charge. The force is given by :

............(2)

On solving the system of equation (1) and (2) using graph we get,

So, the charge on the smaller sphere is 11.6 micro coulombs. Hence, this is the required solution.

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