An aluminium wire with a diameter of 0.100 mm has a uniform electric field of 0.200 V/m imposed along its entire length. The temperature of the wire is 50.0°C. Assume one free electron per atom (T=20°C). (a) Use the information in Table A2.1 to determine the resistivity of aluminium at this temperature. (b) What is the current density in the wire? (c) What is the total current in the wire? (d) What is the drift speed of the conduction electrons? (e) What potential difference must exist between the ends of a 2.00-m length of the wire to produce the stated electric field? Table A2.1. Resistivities and Temperature Coefficients of Resistivity for Various Materials Temperature Coefficient a [(°C)-¹] Material Silver Copper Gold Aluminum Tungsten Iron Platinum Lead Nichromec Carbon Germanium Silicond Glass Resistivitya ( m) 1.59 × 10-8 1.7 X 10-8 2.44 X 10-8 2.82 × 10-8 5.6 × 10-8 10 × 10-8 11 × 10-8 22 × 10-8 1.00 × 10-6 3.5 x 10-5 0.46 2.3 × 10³ 1010 to 1014 3.8 x 10-3 3.9 × 10-3 3.4 x 10-3 3.9 × 10-3 4.5 X 10-3 5.0 × 10-3 3.92 × 10-3 3.9 × 10-3 0.4 x 10-³ -0.5 x 10-3 -48 × 10-³ -75 x 10-³

An aluminium wire with a diameter of 0.100 mm has a uniform electric field of 0.200 V/m imposed along its entire length. The temperature of the wire is 50.0°C. Assume one free electron per atom (T=20°C). (a) Use the information in Table A2.1 to determine the resistivity of aluminium at this temperature. (b) What is the current density in the wire? (c) What is the total current in the wire? (d) What is the drift speed of the conduction electrons? (e) What potential difference must exist between the ends of a 2.00-m length of the wire to produce the stated electric field? Table A2.1. Resistivities and Temperature Coefficients of Resistivity for Various Materials Temperature Coefficient a [(°C)-¹] Material Silver Copper Gold Aluminum Tungsten Iron Platinum Lead Nichromec Carbon Germanium Silicond Glass Resistivitya ( m) 1.59 × 10-8 1.7 X 10-8 2.44 X 10-8 2.82 × 10-8 5.6 × 10-8 10 × 10-8 11 × 10-8 22 × 10-8 1.00 × 10-6 3.5 x 10-5 0.46 2.3 × 10³ 1010 to 1014 3.8 x 10-3 3.9 × 10-3 3.4 x 10-3 3.9 × 10-3 4.5 X 10-3 5.0 × 10-3 3.92 × 10-3 3.9 × 10-3 0.4 x 10-³ -0.5 x 10-3 -48 × 10-³ -75 x 10-³

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter30: Magnetic Fields And Forces

Section30.3: Ørsted’s Discovery

Problem 30.2CE

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