Explanation Write the expression for the electrical resistivity of the iron wire. ρ I = ρ I 0 ( 1 + α I T I ) (I) Here, the electrical resistivity at zero degree temperature for iron wire is ρ I 0 , the temperature coefficient of the resistivity for iron is α A and the temperature for the iron wire. Write the expression for the diameter of the iron wire. d = 4 ρ I i π ( V l ) (II) Here, the current in the wire is i and the maximum voltage drop per unit length is ( V l ) . Conclusion: Refer to table 14-3, “Temperature resistivity coefficients” to obtain the electrical resistivity for the iron at 0 ° C as 9 × 10 − 6 Ω . Refer to table 14-3, “Temperature resistivity coefficients” to obtain the temperature coefficient of resistivity for the iron as 0.0045 ° C − 1 . Substitute 0.0045 ° C − 1 for α I , 9 × 10 − 6 Ω ⋅ cm for ρ I 0 and 20 ° C for T I in Equation (I). ρ I = 9 × 10 − 6 Ω ⋅ cm ( 1 + ( 0

Foundations of Materials Science and Engineering

6th Edition

ISBN: 9781259696558

Author: SMITH

Publisher: MCG

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Chapter 14.12, Problem 64AAP

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The diameter for the iron wire.

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Chapter 14.12, Problem 63AAP

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