Evaluate the temperature of the centre of the bar, Mechanical Engineering

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A copper bar 80 mm by 60 mm in cross-section (k = 370 W/m ºC) is lying in a insulated trough so that the heat transfer from one face both the edges is negligible. It is seen that when a current of 5000A flows through the conductor, the bare face has a fixed temperature of 45 ºC.

If the resistivity of copper is 2*10^-8 ?m, evaluate:

i. The maximum temperature that prevails in the bar and its location;

ii. The temperature of the centre of the bar.

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