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A charge Q is kept in the inner cavity ...

A charge Q is kept in the inner cavity and a charge 2 Q is given to the inner shel. A charge 3 Q is given to the outermost shell, as shown in Fig. 1 (a).22 Find the charges at the surfaces A,B and C.

Text Solution

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Due to induction, `- Q` charge is induced on the inner surface A of inner shell and `+ Q` charge is induced on the outer surface B of inner shell. Thus, charge on surface `A = -Q`.
Now charge on surface `B = 2Q + Q = 3Q` Due to induction, `-3Q` charge is induced on the inner surface of outer shell C and `+3Q` charge is induced on the outer surface of outer shell C. Thus total charge on surface `C = 3 Q + 3 Q = 6Q`.
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