   Chapter 17, Problem 26P

Chapter
Section
Textbook Problem

A length of aluminum wire has a resistance of 30.0 Ω at 20.0°C. When the wire is warmed in an oven and reaches thermal equilibrium, the resistance of the wire increases to 46.2 Ω. (a) Neglecting thermal expansion, find the temperature of the oven. (b) Qualitatively, how would thermal expansion be expected to affect the answer?

(a)

To determine

The final temperature of oven.

Explanation

Given Info: The resistance of aluminum wire at 20.0°C is 30.0Ω. On warming, the resistance increases to 46.2Ω.

Formula to calculate the temperature is

T=T0+(R/R0)1α

• R is the resistance at some temperature T,
• R0 is the resistance at some reference temperature T0,
• α is the temperature coefficient of resistivity of silver,

Substitute 30.0Ω for R0,46.2Ω for R ,20.0°C for T0, and 3

(b)

To determine

The effect of thermal expansion on answer of part (a)

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