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Q.

A solid conducting sphere of radius ‘a’ having charge q is surrounded by a concentric conducting spherical shell of inner radius 2a and outer radius 3a as shown in figure. The net charge on spherical shell is -2q. If the amount of heat produced when switch is closed is x(q296πε0a). Fill the value of x.

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answer is 6.

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Detailed Solution

Energy in between r = a to r = 2a gets converted to heat.
=q24πε0(r2r1)(r2r1)=q24πε0(2a) 
x = 6

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