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Thermal Physics> In which case heat is more produced i.e i...

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In which case heat is more produced i.e in case 1 or in case 2

Ayushi Agarwal , 8 Years ago

Grade 12th pass

1 Answers

Eshan

Taking the radius of the circle to be $r$ ,
Rate of power emitted in case 1

= $\dfrac{dH_1}{dt}=\dfrac{KA}{\pi r}(\theta_1-\theta_2)+\dfrac{KA}{\pi r}(\theta_1-\theta_2)$

Rate of power emitted in case 2

= $\dfrac{dH_2}{dt}=\dfrac{KA}{\dfrac{3}{2}\pi r}(\theta_1-\theta_2)+\dfrac{KA}{\dfrac{1}{2}\pi r}(\theta_1-\theta_2)$
Since power emitted in second case is greater, the heat transferred will also be greater in second case in a particular amount of time.

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