(a)
The resistance and resistivity of the wire in each case.
(a)
Answer to Problem 62AP
The resistance and resistivity of the wire in each case is given in the table below.
Explanation of Solution
Write the expression to obtain the resistance of the wire.
Here,
Write the expression to obtain the resistivity of the wire.
Here,
Conclusion:
Case (i):
Substitute
Substitute
Case (ii):
Substitute
Substitute
Case (iii):
Substitute
Substitute
Therefore, the resistance and resistivity of the wire in each case is given in the table below.
(b)
The average resistivity.
(b)
Answer to Problem 62AP
The average resistivity is
Explanation of Solution
Write the expression to obtain the average resistivity.
Here,
Conclusion:
Substitute
Therefore, the average resistivity is
(c)
The comparison between the average resistivity and the resistivity values for different length as shown in table in part (a).
(c)
Answer to Problem 62AP
There is not much variation in the resistivity value for different lengths for the same material.
Explanation of Solution
The values of the resistivity with different length and cross section is as below.
The average value of resistivity is
The values of the resistivity in the above table and the average value are almost similar.
Conclusion:
Therefore, there is not much variation in the resistivity value for different length for the same material.
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Chapter 27 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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