Solve the foregoing problem for the case of two concentric spheres of radii. R1 and R2 and temperatures T1 and T2.
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Irodov Problems in General Physics
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lateral surfaces of the rods are assumed to be thermally insulated. 2.249. A rod of length 1 with thermally insulated lateral surface consists of material whose heat conductivity coefficient varies with temperature as x = air, where a is a constant. The ends of the rod are kept at temperatures T1 and T2. Find the function T (x), where x is the distance from the end whose temperature is T1, and the heat flow density. 2.250. Two chunks of metal with heat capacities C1 and C2 are interconnected by a rod of length 1 and cross-sectional area S and fairly low heat conductivity x. The whole system is thermally insu- lated from the environment. At a moment t = 0 the temperature difference between the two chunks of metal equals (AT)0. Assuming the heat capacity of the rod to be negligible, find the temperature difference between the chunks as a function of time.
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