Each of two small spheres is charged positively, the total charge being 52.6 µc. each sphere is repelled from the other with a force of 1.19 n when the spheres are 1.94 m apart. calculate the charge on each spher

Explanation:

The electric force between the two spheres is given by

where

k is the Coulomb's constant

q1, q2 are the two charges

r is the distance between the spheres

Here we know

F = 1.19 N

r = 1.94 m

So we can solve to find :

(1)

We also know that the sum of the two charges is

(2)

So we have a system of 2 equations; from (1) we get

and substituting into (2)

which has two solutions:

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