Physics · Thermal Conduction

Six identical rods (same geometry) are connected in a network. The end-points are maintained at temperatures of 100°C and 40°C. The network consists of two parallel branches connected between the ends: the top branch has two rods of thermal conductivity K each; the middle branch has two rods of thermal conductivity 3K each; and there are two vertical cross-connecting rods of thermal conductivity K each at junctions A and B. Find the steady-state temperatures TA and TB at junctions A and B.