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Statement of a problem № 636

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Two rods whose lengths are L1 and L2 and heat conductivity coefficients k1 and k2 are placed end to end. Find the heat conductivity coefficient of a uniform rod of length L1+L2 whose conductivity is the same as that of the system of these two rods. The lateral surfaces of the rods are assumed to be thermally insulated.

Solution:
Two rods whose lengths are L1 and L2 and heat conductivity coefficients k1 and k

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