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?
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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