An iron wire has a cross-sectional area of 3.60 x 10-6 m². Carry out steps (a) through (e) to compute the drift speed of the conduction electrons in the wire. (a) How many kilograms are there in 1 mole of iron? kg/mol (b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter). mol/m³ (c) Calculate the number density of iron atoms using Avogadro's number. atoms/m³

An iron wire has a cross-sectional area of 3.60 x 10-6 m². Carry out steps (a) through (e) to compute the drift speed of the conduction electrons in the wire. (a) How many kilograms are there in 1 mole of iron? kg/mol (b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter). mol/m³ (c) Calculate the number density of iron atoms using Avogadro's number. atoms/m³

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 69PQ

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Concept explainers

Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends on the nature of the material of the conductor and is unaffected by its dimensions.

Question

An iron wire has a cross-sectional area of 3.60 x 10-6 m². Carry out steps (a) through (e) to compute the drift speed of the conduction electrons
in the wire.
(a) How many kilograms are there in 1 mole of iron?
kg/mol
(b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic
meter).
mol/m³
(c) Calculate the number density of iron atoms using Avogadro's number.
atoms/m³
(d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom.
electrons/m³
(e) If the wire carries a current of 31.0 A, calculate the drift speed of conduction electrons.
m/s

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