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

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

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Grade:12th pass

1 Answers

Eshan
askIITians Faculty 2095 Points
5 years ago
Taking the radius of the circle to ber,
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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