A 490-W heating coil designed to operate from 110 V is made of Nichrome wire 0.420 mm in diameter. (Assume ρ = 1.50 10-6 Ω · m, and α = 4.000 10-4(°C)−1 for Nichrome.) (a) Assuming the resistivity of the Nichrome remains constant at its 20.0°C value, find the length of wire used. m (b) Now consider the variation of resistivity with temperature. What power is delivered to the coil of part (a) when it is warmed to 1 200°C?

A 490-W heating coil designed to operate from 110 V is made of Nichrome wire 0.420 mm in diameter. (Assume ρ = 1.50 10-6 Ω · m, and α = 4.000 10-4(°C)−1 for Nichrome.) (a) Assuming the resistivity of the Nichrome remains constant at its 20.0°C value, find the length of wire used. m (b) Now consider the variation of resistivity with temperature. What power is delivered to the coil of part (a) when it is warmed to 1 200°C?

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 65PQ

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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

A 490-W heating coil designed to operate from 110 V is made of Nichrome wire 0.420 mm in diameter. (Assume ρ = 1.50 10^-6 Ω · m, and α = 4.000 10^-4(°C)⁻¹ for Nichrome.)

(a) Assuming the resistivity of the Nichrome remains constant at its 20.0°C value, find the length of wire used.
m

(b) Now consider the variation of resistivity with temperature. What power is delivered to the coil of part (a) when it is warmed to 1 200°C?

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