A certain semiconductor material has a conductivity of 0.0124 W/cm C. A rectangular bar of the

Question:

A certain semiconductor material has a conductivity of 0.0124 W/cm ∙ ºC. A rectangular bar of the material has a cross-sectional area of 1 cm2 and a length of 3 cm. One end is maintained at 300ºC and the other end at 100ºC, and the bar carries a current of 50 A. Assuming the longitudinal surface is insulated, calculate the midpoint temperature in the bar. Take the resistivity as 1.5 × 10−3Ω ∙ cm.