Given the temperature coefficient of resistivity of a certain wire to be 3.1 x10-3 (°C)-1.By what factor is the resistance of this wire changed when its temperature is increased from 20.0°C to 79.48 °C? R Ro

Given the temperature coefficient of resistivity of a certain wire to be 3.1 x10-3 (°C)-1.By what factor is the resistance of this wire changed when its temperature is increased from 20.0°C to 79.48 °C? R Ro

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 67P: A 12-guage gold wire has a length of 1 meter. (a) What would be the length of a silver 12-gauge wire...

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Concept explainers

Temperature Variance of Resistance

Electrical resistance or simply resistance is the property of a material that opposes the free flow of electrons through it. The total amount of resistance to the flow of charges (or current) is affected by many factors like the length of the conducting material, its cross-sectional area, resistivity, and temperature.

Question

Given the temperature coefficient
of resistivity of a certain wire to be 3.1 x10-3 (°C)-1.By what factor is the resistance of this wire changed when
its temperature is increased from 20.0°C to 79.48 °C?
R
Ro

Expert Solution

Step 1

Given data

The temperature coefficient of resistivity of the wire is: α = 3.1 x 10^-3 °C^-1

The initial temperature of the wire is: T_i = 20°C

The final temperature of the wire is: T_f = 79.48°C

The expression for the resistance and its temperature-dependent is given as:

Here R_ois the initial resistance.

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