Concept explainers
To identify: Whether the copper wire should be long and thin, short or fat or something else.
Answer to Problem 51P
The copper wire must be short and fat with a small radius of the solenoid.
Explanation of Solution
Given:
Formula used:
The magnetic field is calculated as
Ohm’s law is given as
Calculation:
Since mass and density of Copper is fixed. The only thing variable here is its volume that is
Also, voltage
The total length of the wire is the product of the number of turns and the circumference of the solenoid.
Now, using all these values in the formula to calculate the magnetic field is
Since, first fraction is made of constants, thus, magnetic field is proportional to
Conclusion:
This relation suggests that the magnetic field is greatest when the radius of the solenoid is small and copper wire must be made short and fat.
Chapter 20 Solutions
Physics: Principles with Applications
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