The relationship between change in resistance and strain.
Answer to Problem 6.9P
The relationship between change in resistance and strain is
Explanation of Solution
Formula Used:
Write the expression for the resistance of wire..
Here,
Write the expression for the derivative of volume in terms of length and area.
Here,
Write the expression for change in volume.
Here,
Calculation:
Differentiate equation (I) with
Rewrite equation (III) in expanded form.
For small strain, neglect
Equate equation (II) and (V).
Substitute
Substitute
Conclusion:
Thus, the relationship between change in resistance and strain is
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Chapter 6 Solutions
Materials Science And Engineering Properties
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- Materials Science And Engineering PropertiesCivil EngineeringISBN:9781111988609Author:Charles GilmorePublisher:Cengage Learning