Concept explainers
(a)
The magnetic field at the center of the square.
(a)
Answer to Problem 41P
The magnetic field at the center of the square is
Explanation of Solution
Write the expression for the magnetic field at the point
Here,
Conclusion:
Substitute
Similarly from the expression (I) write the expression for segment
Similarly from the expression (I) write the expression for segment
Similarly from the expression (I) write the expression for segment
Write the expression for the magnetic field at the center of the square due to the current in the wire
Substitute
The magnetic field at the center of the square is
(b)
The magnetic field at the center of the circle.
(b)
Answer to Problem 41P
The magnetic field at the center of the circle is
Explanation of Solution
Write the expression for the perimeter of the circle
Here,
Write the expression for the magnetic field at the center of the circle.
Here,
Conclusion:
Substitute
Substitute
The magnetic field at the center of the circle is
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Chapter 22 Solutions
Principles of Physics: A Calculus-Based Text
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