11. Three rods AB, BC and BD having thermal conductivities
in the ratio 1:2:3 and lengths in the ratio 2:1:1 are
joined as shown in the given figure. The ends A, C and D
are at temperatures T, T, and T , respectively. Find the
temperature of the junction B. Assume steady state.
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Answer:
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Explanation:
3/k(s) = 1/k + 1/2k + 1/3k
∴ k(s) = 18/13 k
( Θ / t ) combined = ( Θ / t ) A
18/13 k x A (200 - 18)/ 3l = k A (200 - Θ) / l
∴ Θ = 116°
The temperature at the junction of A and B in equilibrium is 116°
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Answer:
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Explanation:
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