Concept explainers
(a)
Find the magnetic field inside the solenoid when it is connected to emf of
(a)
Answer to Problem 37PQ
The magnetic field inside the solenoid is
Explanation of Solution
Number of turns in solenoid is the ratio of length of solenoid to the diameter of the copper wire. Diameter of the copper is
Write the expression for number of turns in solenoid as.
Here,
Write the expression for total length of the copper wire as.
Here,
Write the expression for resistance of copper wire as.
Here,
Area of the copper wire is
Substitute
Here,
Write the expression for current in copper wire as.
Here,
Write the expression for magnetic field as.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Thus, the magnetic field inside the solenoid is
(b)
The magnetic field inside the solenoid when turns have two layers.
(b)
Answer to Problem 37PQ
The magnetic field inside the solenoid is same.
Explanation of Solution
When turns have two layers, it means number of turns will be double that is
Substitute
Substitute
Rearrange the above expression as.
Conclusion:
The new magnetic field is independent of number of turns.
Thus, there will be no change in magnetic field inside the solenoid.
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Chapter 31 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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