PHYSICS UNIVERSITY

Three identical rods are welded together to form a Y-shaped figure. The cross-sectional area of each rod is A A, and they have length L L and thermal conductivity k.
(Figure 1)
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.

http://session.masteringphysics.com/problemAsset/1006857/23/36907.jpg
（FIGURE）


Q1 What is T_j, the temperature of the junction point?
Express your answer in terms of T 1 and T 0

Q2 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 。