Copper wire has a resistivity p= 1.7 x 10-8 2-m when at 20°C and it has a temperature coefficient a = 3.9 x 103 K-¹. A solid cylinder of copper of length L = 45 cm and diameter D = 1.5 mm has one end held at T₁ = 15°C and the other end is held at T₂ = 280°C. The temperature increases linearly between the two ends of the cylinder. T₁ dx L T₂ Consider a thin slice of the copper cylinder of thickness dx that is located a distance x from the left end of the cylinder. Write an equation for the temperature of this slice in terms of the variables x, L, T₁, and T₂. Determine the total resistance in milliohms.

Copper wire has a resistivity p= 1.7 x 10-8 2-m when at 20°C and it has a temperature coefficient a = 3.9 x 103 K-¹. A solid cylinder of copper of length L = 45 cm and diameter D = 1.5 mm has one end held at T₁ = 15°C and the other end is held at T₂ = 280°C. The temperature increases linearly between the two ends of the cylinder. T₁ dx L T₂ Consider a thin slice of the copper cylinder of thickness dx that is located a distance x from the left end of the cylinder. Write an equation for the temperature of this slice in terms of the variables x, L, T₁, and T₂. Determine the total resistance in milliohms.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 58PQ

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