Question: 2. An electrical apparatus contains a cylindrical solid piece (a rod with radius R and length L). The heat generation per unit volume of the

2. An electrical apparatus contains a cylindrical solid piece (a rod with radius R and length L). The heat generation per unit volume of the rod is given by g =k[a+bT(r)] where a, b, and thermal conductivity k are constants. The cylindrical piece is in contact with an environment of temperature T. and heat transfer coefficient h. Derive the differential equation and write the appropriate boundary conditions to determine the temperature profile inside the rod at steady-state. Do not solve the differential equation

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