Thermal Reservoir

A thermal reservoir is a thermodynamic system with heat capacity that is so large that, when it is in thermal contact with another system of interest or its environment, its temperature remains effectively constant. In the above picture, objects A and B have the same cross sectional area and length. If the temperature of the contact surface is constant at T and the thermal conductivities of A and B are \(3k\) and \(k,\) respectively, what is the temperature T?

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