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kira506
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Why is the magnetic flux density uniform at the center of the circular loop ?
Meir Achuz said:It is not uniform. It varies in all directions. B is nearly uniform in the center of a long solenoid.
jtbell said:Magnetic field of a current loop:
http://www.netdenizen.com/emagnettest/offaxis/?offaxisloop
For points in the plane of the loop, set x=0 and consider only Bx; Br=0.
Baluncore said:As you move towards one part of the circumference you are moving away from another at 180° to the first. The rise from one tends to cancel the fall from the other, so the field is remarkably smooth and gently curved near the axis.
Baluncore said:The attached screen dump shows two things. Firstly a circular loop of short filamentary segments, and secondly the B field measured across the circle, but very slightly offset from the plane of the circle which reduces the extreme peaks close to filaments.
If you want a 3D volume of reasonably uniform magnetic field you can use two plane loops in an arrangement called a Helmholtz coil. https://en.wikipedia.org/wiki/Helmholtz_coil
The concept of uniformity in a circular loop refers to the even distribution of magnetic field strength throughout the loop. This means that the magnetic field intensity is the same at any point on the loop, regardless of its distance from the center.
Uniformity is important in a circular loop because it allows for consistent and predictable results when studying the loop's magnetic field. It also ensures that all parts of the loop are subject to the same magnetic force, making it easier to analyze and understand the behavior of the loop.
Uniformity in a circular loop is typically achieved by using a symmetrical design and arranging the current-carrying wires in a specific pattern. This ensures that the magnetic field produced by each wire adds up to create a uniform field throughout the loop.
The uniformity of a circular loop can be affected by factors such as the shape and size of the loop, the distance between the wires, and the strength and direction of the current flowing through the wires. Any changes to these variables can result in a non-uniform magnetic field.
Uniformity in a circular loop can be measured by using a magnetometer to map the strength of the magnetic field at various points on the loop. The closer the measured values are to each other, the more uniform the field is.