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Q.

A solid conducting sphere of radius 10 cm is enclosed by a thin metallic shell of radius 20 cm. A charge $q = 20 μ C$ is given to the inner sphere. Find the heat generated in the process when the inner sphere is connected to the shell by a conducting wire.

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a

zero

b

24 J

c

9 J

d

12 J

answer is B.

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Detailed Solution

On connecting, the entire amount of charge will shift to the outer sphere. Heat generated is

$U_{i} - U_{f} = \frac{q^{2}}{8 π ε_{0} R_{1}} - \frac{q^{2}}{8 π ε_{0} R_{2}}$

$= \frac{(20 \times 10^{- 6}) \times 9 \times 10^{9}}{2} [\frac{1}{0.10} - \frac{1}{0.20}] = 9 J$

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A solid conducting sphere of radius 10 cm is enclosed by a thin metallic shell of radius 20 cm. A charge q=20 μC is given to the inner sphere. Find the heat generated in the process when the inner sphere is connected to the shell by a conducting wire.