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3. Two identically shaped spheres are charged so that 1 sphere has a charge of +...

3. Two identically shaped spheres are charged so that 1 sphere has a charge of + 4.00 C and the other has a charge of -1.00 C. If the two spheres are allowed to touch and then are moved to a distance of 0.200 m, what is the magnitude of the electric force between them?

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Answer #1

When the spheres are allowed to touch, charges flow from one sphere to another until the charges on them are equal.
The charge on each sphere is
Q = 4.00 C + (- 1.00 C ) / 2 = 1.50 C.
The force between the spheres when they are separated by a distance of 0.200 m is
F = k Q2 / r2
Where r =0.200 m, the distance between the charges.
F = 9 x 109 x (1.50 x 10-6 C)2 / 0.2002
F =  0.506 N

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