If two identical conducting spheres are in contact, any exce

lugreget9 2021-12-17 Answered
If two identical conducting spheres are in contact, any excess charge will be evenly distributed between the two. Three identical metal spheres are labeled A, B, and C. Initially, A has charge q, B has charge −q/2, and C is uncharged. a. What is the final charge on each sphere if C is touched to B, removed, and then touched to A? b. Starting again from the initial conditions, what is the charge on each sphere if C is touched to A, removed, and then touched to B?
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Expert Answer

Bertha Jordan
Answered 2021-12-18 Author has 37 answers
Intially, the charges of the spheres are
qA0=q, qB0=12q, qC0=0
a. As is said in the problem, when spheres are brought in contact, any excess charge in them will be wqually split among them. Therefore, after C is touched to B we have
qB1=qC1=12qB0+qC0=14q
Then when C is touched to A we have that
qA2=qC2=12qA0+qC1=38q
So the final charges of the sphesres A, B, and C are 38q,14q, and 38q

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Philip Williams
Answered 2021-12-19 Author has 39 answers
b. We start again from the initial conditions. When C is touched to A the new charges are
qA1=qC1=12qA0+qC0=12q
Then, if C is touched to B we have that
qB2=qC2=12qB1+qC1=0
Therefore, the final charges of the spherse are 12q,0 and 0.

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