Answered: A semiconductor material with k = 2…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A semiconductor material with k = 2 W/m.K and electric resistivity, r =2x10-5 W.m, is used to fabricate a cylindrical rode 40 mm long with a diameter of 10 mm. The longitudinal surface of the rod is well insulated and may be considered adiabatic while the ends are maintained at temperatures 100C and 0C, respectively. If the rod carries a current of 10 amps, what will be its midpoint temperature? What will be the rate of heat transfer through both ends?

Expert Solution

Step 1

Given:

Thermal conductivity of material $(k) = 2 \frac{W}{mK}$

Electric resistivity $(r) = 2 \times 10^{- 5} Wm$

Length of rod $(L) = 40 mm$

The diameter of rod $(d) = 10 mm$

The temperature at first end $T_{1} = 100 ° C = 373 K$

The temperature at second end $T_{2} = 0 ° C = 273 K$

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