Answered: L T2 dx

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Copper wire has a resistivity ρ = 1.7 × 10^-8 Ω⋅m when at 20°C and it has a temperature coefficient α = 3.9 × 10^-3 K^-1. A solid cylinder of copper of length L = 85 cm and diameter D = 3.5 mm has one end held at T₁ = 14°C and the other end is held at T₂ = 210°C. The temperature increases linearly between the two ends of the cylinder.

A) 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.

B) Determine the total resistance in milliohms.

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