(a)
The resistance of the wires and the corresponding values of the resistivity.
(a)
Answer to Problem 76P
The resistance of wire 1 is
Explanation of Solution
Given information: Area of cross section of gauge wire is
Formula to calculate the resistance of wire 1.
Here,
Substitute
Thus, the resistance of wire 1 is
Formula to calculate the resistivity of wire 1.
Here,
Substitute
Thus, the resistivity of wire 1 is
Formula to calculate the resistance of wire 2.
Here,
Substitute
Thus, the resistance of wire 2 is
Formula to calculate the resistivity of wire 2.
Here,
Substitute
Thus, the resistivity of wire 2 is
Formula to calculate the resistance of wire 3.
Here,
Substitute
Thus, the resistance of wire 3 is
Formula to calculate the resistivity of wire 3.
Here,
Substitute
Thus, the resistivity of wire 3 is
Conclusion:
Therefore, the resistance of wire 1 is
(b)
The average value of resistivity.
(b)
Answer to Problem 76P
The average value of resistivity is
Explanation of Solution
Given information: Area of cross section of gauge wire is
Formula to calculate the average value of resistivity.
Here,
Substitute
Thus, the average value of resistivity is
Conclusion:
Therefore, the average value of resistivity is
(c)
The way in which this average value of resistivity compares with the value given in the table 26.2.
(c)
Answer to Problem 76P
This average value of resistivity compares with the value given in the table 26.2. It is observed that the average value of the resistivity is equal to the resistivity of the nichrome. So, a experiment is done by the student to measure the electrical resistance of Nichrome in the form of wires of different lengths and cross sectional areas is correct.
Explanation of Solution
Given information: Area of cross section of gauge wire is
The average value of resistivity is
The value of resistivity of Nichrome is ranging from
It is observed that the average value of the resistivity is equal to the resistivity of the nichrome. So, a experiment is done by the student to measure the electrical resistance of Nichrome in the form of wires of different lengths and cross sectional areas is correct.
Thus, this average value of resistivity compares with the value given in the table 26.2. It is observed that the average value of the resistivity is equal to the resistivity of the nichrome. So, a experiment is done by the student to measure the electrical resistance of Nichrome in the form of wires of different lengths and cross sectional areas is correct.
Conclusion:
Therefore, this average value of resistivity compares with the value given in the table 26.2. It is observed that the average value of the resistivity is equal to the resistivity of the nichrome. So, a experiment is done by the student to measure the electrical resistance of Nichrome in the form of wires of different lengths and cross sectional areas is correct.
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Chapter 21 Solutions
Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
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