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Question: 4 a metallic wire of length 2l cross sectional area...

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4. A metallic wire of length 2L, cross sectional area A, heat conductivity k and resistivity ρ is in good thermal and electrical contact at its two ends with two large electrodes both at the same temperature T, and held at a potential difference V, such that a current IVALp) flows from one end of the wire to the other. As a result, the electrical power dissipated creates a uniformm

volumetric heat source q” (Wscm-3) that heats up the wire. Assuming for simplicity that lateral losses of energy by convection and radiation are negligible, and that L,A, p, k are all independent of temperature, determine the temperature distribution along the length x of the wire. Determine the maximum wire temperature

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