The ratio of the diameter of the longer wire to the diameter of the shorter wire.
Answer to Problem 22P
Explanation of Solution
Given info:
Two aluminium wires have the same resistance;
One wire has twice the length of the other;
Formula used:
It is known that resistance:
Where,
The cross-sectional area:
Where,
Formula of radius:
Where,
Calculation:
By using the formula:
Put the value of
From equation
According to the question, two aluminium wires have the same resistance. So, equations
Thus,
According to the question, two aluminium wires have the same resistance, they will have same resistivity;
Thus,
Conclusion: The ratio of the diameter of the longer wire to the diameter of the shorter wire is
Chapter 18 Solutions
Physics: Principles with Applications
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