A metal sphere A has charge Q. Two other spheres, B and C, are identical to A ex

Question

A metal sphere A has charge Q. Two other spheres, B and C, are identical to A except they have zero net charge. A touches B, then the two spheres are separated. B touches C, then those spheres are separated. Finally, C touches A and those two spheres are separated. How much charge is on each sphere?

Explanation / Answer

Sol: A touches B => charge on A and B(each) = (Q+0)/2 =Q/2 B touches C => charge on B and C(each) = (Q/2 + 0)/2 = Q/4 C touches A => charge on C and A(each) = (Q/2 + Q/4)/2 = (3Q/4)/2 =3Q/8 Final charges : A=3Q/8 B=Q/4 C=3Q/8

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