Two identical small spherical conductors (point charges), separated by 0.5 m, ca

Question

Two identical small spherical conductors (point charges), separated by 0.5 m, carry a total charge of 190 µC. They repel one another with a force of 120 N.

(a) Find the charge on each sphere.
q1 (larger charge) = ______µC , q2 (smaller charge) = ______µC

(b) The two spheres are placed in electrical contact and then separated so that each carries 95 µC. Determine the force exerted by one sphere on the other when they are 0.3 m apart.
F =______N

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I need clear explanations and answers!

Explanation / Answer

q1q2 = Fr^2/k =120*0.5^2/k =3.3377*10^-9 coulomb q*(190-q) =3.3377*10^-9/10^-12 =3337.783 or, q^2-190q+3337.783=0 q1 =170.413 microC , q2 =19.586 microC b) F = kq1q2/r^2 = 901.2966 N

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