An aluminium rod with square cross section is 1.3 m long and 3.8 mm on edge ) What is the resistance between its ends? The resistivity of aluminium is 2.75 * 10-8 2.m. (ii) What must be the diameter of a cylindrical copper rod of length 1.3 m if its resistance is to be the same as that of the aluminium rod? The resistivity of copper is 1.69 * 10-8 Ω.m. (iii) Calculate the current (in A) and the current density (in A/m^2) of the cylindrical copper if the potential drop across the ends of the wire is 0.060 V.
An aluminium rod with square cross section is 1.3 m long and 3.8 mm on edge ) What is the resistance between its ends? The resistivity of aluminium is 2.75 * 10-8 2.m. (ii) What must be the diameter of a cylindrical copper rod of length 1.3 m if its resistance is to be the same as that of the aluminium rod? The resistivity of copper is 1.69 * 10-8 Ω.m. (iii) Calculate the current (in A) and the current density (in A/m^2) of the cylindrical copper if the potential drop across the ends of the wire is 0.060 V.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:**Problem Statement:**
An aluminium rod with a square cross-section is 1.3 m long and 3.8 mm on edge.
__(i)__ What is the resistance between its ends? The resistivity of aluminium is \(2.75 \times 10^{-8} \, \Omega \cdot \text{m}\).
__(ii)__ What must be the diameter of a cylindrical copper rod of length 1.3 m if its resistance is to be the same as that of the aluminium rod? The resistivity of copper is \(1.69 \times 10^{-8} \, \Omega \cdot \text{m}\).
__(iii)__ Calculate the current (in A) and the current density (in A/m²) of the cylindrical copper rod if the potential drop across the ends of the wire is 0.060 V.
**Select one:**
- **a.** (i) \(3.27 \times 10^{-3} \, \Omega\) (ii) \(8.14 \times 10^{-3} \, \text{m}\) (iii) \(I = 18.3 \, \text{A}\) and \( J = 2.64 \times 10^{6} \, \text{A/m}^{2} \)
- **b.** (i) \(2.50 \times 10^{-3} \, \Omega\) (ii) \(3.4 \times 10^{-3} \, \text{m}\) (iii) \(I = 24 \, \text{A}\) and \( J = 2.64 \times 10^{6} \, \text{A/m}^{2} \)
- **c.** (i) \(2.50 \times 10^{-3} \, \Omega\) (ii) \(3.4 \times 10^{-3} \, \text{m}\) (iii) \(I = 24 \, \text{A}\) and \( J = 2.08 \times 10^{6} \, \text{A/m}^{2} \)
- **d.** (i) \(3.27 \times 10^{-3} \, \Omega\) (ii) \(15.3 \times 10^{-3} \, \text
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