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a solid conducting sphere of radius 10cm is enclosed by a thin metallic shell of radius 20cm. A charge of 20×10^-6 is given to the inner sphere. The heat generated in the process will be ??

Posted by Sweta Kumar 6 years ago

CBSE > Class 12 > Physics

1 answers

Sia ? 6 years ago

The whole charge is transferred to the outer sphere.
Therefore, Heat generated = U_i - U_f
$H = \frac { q ^ { 2 } } { 2 C _ { 1 } } - \frac { q ^ { 2 } } { 2 C _ { 2 } }$
Here, C₁ = $4 \pi \varepsilon _ { 0 } R _ { 1 }$
and C₂ = $4 \pi \varepsilon _ { 0 } R _ { 2}$
$\therefore H = \frac { q ^ { 2 } } { 8 \pi \varepsilon _ { 0 } } \left( \frac { R _ { 2 } - R _ { 1 } } { R _ { 1 } R _ { 2 } } \right)$
$= \frac { \left( 20 \times 10 ^ { - 6 } \right) ^ { 2 } \left( 9 \times 10 ^ { 9 } \right) ( 0.1 ) } { ( 2 ) ( 0.1 ) ( 0.2 ) } = 9 J$

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