Concept explainers
(a)
Find the resistance of aluminum wire.
(a)
Answer to Problem 137P
The resistance of aluminum wire is
Explanation of Solution
Given,
Write the equation for resistance.
Here,
Rewrite the above equation for aluminum and copper wire and divide them.
Rewrite the above equation and substitute the area values to get resistance of aluminum.
Conclusion:
Substitute
Therefore, the resistance of aluminum wire is
(b)
Find the resistance of the wire when operating steadily.
(b)
Answer to Problem 137P
The resistance of the wire when operating steadily is
Explanation of Solution
Write the equation for resistance.
Here,
Conclusion:
Substitute
Therefore, the resistance of the wire when operating steadily is
(c)
Find the temperature of the copper wire.
(c)
Answer to Problem 137P
The temperature of the copper wire is
Explanation of Solution
Write the equation for resistance.
Here,
Substitute
Conclusion:
Substitute
Therefore, the temperature of the copper wire is
(d)
Does the thermal expansion of wire changes the answer in part c.
(d)
Answer to Problem 137P
The thermal expansion of wire will not changes the answer in part c, since the expansion in wire is less than
Explanation of Solution
The thermal expansion in the wire for the temperature of
Conclusion:
Therefore, the thermal expansion of wire will not changes the answer in part c, since the expansion in wire is less than
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Chapter 18 Solutions
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