The temperature coefficient of resistivity for the metal gold is 0.0034 (Cᵒ)-¹, and for tungsten it is 0.0045 (Cº)-¹. The resistance of agold wire increases by 8.8 percent due to an increase in temperature. For the same increase in temperature, what is the percentageincrease in the resistance in a tungsten wire?Number iUnits

Answered: The temperature coefficient of…

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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The temperature coefficient of resistivity for the metal gold is 0.0034 (Cᵒ)-¹, and for tungsten it is 0.0045 (Cº)-¹. The resistance of a
gold wire increases by 8.8 percent due to an increase in temperature. For the same increase in temperature, what is the percentage
increase in the resistance in a tungsten wire?
Number i
Units

Expert Solution

Step 1

The temperature coefficient of resistivity for the metal gold is $0.0034 {(C °)}^{- 1} a n d f o r t u n g s t e n i t i s 0.0045 {(C °)}^{- 1} .$

The resistance of gold wire increases by 8.8 percent due to a increase in temperature.

Change in resistance with temperature is given by,

$∆ R = R_{0} α ∆ T, w h e r e ∆ R i s c h a n g e i n t e m p e r a t u r e, α i s t e m p e r a t u r e c o e f f i c i e n t o f r e s i s t i v i t y a n d ∆ T i s c h a n g e i n t e m p e r a t u r e .$

So, percentage change in resistance = $α ∆ T$

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