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Three identical rods are welded together to form a Y-shaped figure. The cross-sectional area of each rod is A, and they have length L and thermal conductivity k.

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The free end of rod 1 is maintained at T_1 and the free ends of rods 2 and 3 are maintained at a lower temperature T_0. You may assume that there is no heat loss from the surfaces of the rods.

Part A

What is T_j, the temperature of the junction point?

Express your answer in terms of T_1 and T_0.

Part B

What is the heat current H_1 in rod 1?

Express the heat current in terms of any or all of k, L, A, and the temperatures T_1 and T_0.

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# Heat Flow through Three Rods problem

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