   Chapter 17, Problem 30P

Chapter
Section
Textbook Problem

A wire 3.00 m long and 0.450 mm2 in cross-sectional area has a resistance of 41.0 Ω at 20.0°C. If its resistance increases to 41.4 Ω at 29.0°C, what is the temperature coefficient of resistivity?

To determine
The temperature coefficient of resistivity of wire.

Explanation

Given Info: The wire has length 3.00m and cross sectional area 0.450mm2 , the wire has resistance 41.0Ω at 20.0°C and 41.4Ω at 29.0°C .

Explanation:

Formula to calculate the temperature coefficient of resistance is

α=RR0R0(TT0)

• 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 wire,

Substitute 41.0Ω for R0 , 41.4Ω for R 20

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