Metal sphere A has 9.1x10 10 excess electrons on it. Two other spheres, B and C,

Question

Metal sphere A has 9.1x1010 excess electrons on it. 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 thous spheres are separated. After being separated from B, sphere C is grounded, then is disconnected from ground before anything else is done.

When an object is grounded, it immediately looses any excess charge.

Finally, C touches A and those two spheres are separated.

What is the final charge on sphere A? The answer should be given in nC, with units.

Explanation / Answer

let A,B and C has charge Q intially

when A touches B both have a charge Q/2

B touches C then they also have charge Q/4

now sphere C is grounded so its charge is zero

now when C touches A then

(0+Q/2)/2

=Q/4

=9.1*10^10/4

=2.275*10^10 C

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