A copper wire of length L= 10 cm spans a gap between two electrodes in a...

 

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A copper wire of length L= 10 cm spans a gap between two electrodes in a vacuum chamber. The wire has a cross-sectional area A=1x10 m2, an electrical conductivity o-5.99x10'mho/m a thermal conductivity k of 400 W/m-K. One electrode is maintained at a constant temperature of 300 K while the other is maintained at a constant temperature of 400 K. A constant current I=1 A is passed through the wire. You may neglect the effects of radiation. a) Please determine and sketch the steady state temperature distribution in the wire as a function of the longitudinal position. b) What is the maximum temperature in the wire and where is it? c) Please determine and sketch the heat flux as a function of position. Vacuum environment Electrode Electrode 400 K 300 K Wire A copper wire of length L= 10 cm spans a gap between two electrodes in a vacuum chamber. The wire has a cross-sectional area A=1x10 m2, an electrical conductivity o-5.99x10'mho/m a thermal conductivity k of 400 W/m-K. One electrode is maintained at a constant temperature of 300 K while the other is maintained at a constant temperature of 400 K. A constant current I=1 A is passed through the wire. You may neglect the effects of radiation. a) Please determine and sketch the steady state temperature distribution in the wire as a function of the longitudinal position. b) What is the maximum temperature in the wire and where is it? c) Please determine and sketch the heat flux as a function of position. Vacuum environment Electrode Electrode 400 K 300 K Wire

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