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Find charge on each spherical shell afte...

Find charge on each spherical shell after joining the inner most shell and outer most shell by a conducting wire. Also find charges on each surface.

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Let the charge on the innermost sphere be x.
Finally poyential of shell `1 =` Potential of shell `3`
`(kx)/(R)+(K(-2Q))/(2R)+(K(6Q-x))/(3R)=(KQ)/(3R)+(k(-2q))/(3R)+(k(5 Q))/(3R)`
`3x-3Q+6Q-x=4Q, 2x=Q, x=Q/2`
Charge on innermost shell `=Q/2`, charge on outermost shell`=(11Q)/(2)`
middle shell `=-2Q`
final charge distribution is as shown in figure.

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