I Effect of Fringe Fields for a Bending (Dipole) Magnet on Field Integral?

AI Thread Summary
Modeling a bending magnet for a magnetic spectrometer using FEMM reveals concerns about the impact of fringe fields on the field integral ∫B ds. Initially, a hard edge scenario was analyzed without fringe fields, leading to a baseline understanding of the magnetic field. When fringe fields were introduced, there was uncertainty about whether the field integral would increase or decrease. The initial hypothesis suggested that the integral would decrease due to a reduction in the normal B field when extending the path length into fringe regions. This discussion highlights the complexities of accurately modeling magnetic fields in bending magnets.
rubixx14
Messages
1
Reaction score
0
I'm doing some modeling of a bending magnet in FEMM, to use as a magnetic spectrometer, and came across the following equation:
Energy_spectrometer_equation_cropped.png

with the setup of the magnetic spectrometer similar to the following figure:
Energy_spectrometer_figure.png

At first I modeled a hard edge scenario in a 2D cross section, where no fringe fields had been considered, and then I began to look at adding the fringe fields. My question relates to the field integral of ∫B ds and how it changes (does it increase or decrease?) when you add in the fringe fields? My initial thinking is that the integral would decrease, since the normal B field I acquired from my model decreased when I extended the path length out to include the fringe regions, but I'm not entirely confident on my conclusion.
 
Thread 'Inducing EMF Through a Coil: Understanding Flux'
Thank you for reading my post. I can understand why a change in magnetic flux through a conducting surface would induce an emf, but how does this work when inducing an emf through a coil? How does the flux through the empty space between the wires have an effect on the electrons in the wire itself? In the image below is a coil with a magnetic field going through the space between the wires but not necessarily through the wires themselves. Thank you.
Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)'
I am reading the Griffith, Electrodynamics book, 4th edition, Example 4.8. I want to understand some issues more correctly. It's a little bit difficult to understand now. > Example 4.8. Suppose the entire region below the plane ##z=0## in Fig. 4.28 is filled with uniform linear dielectric material of susceptibility ##\chi_e##. Calculate the force on a point charge ##q## situated a distance ##d## above the origin. In the page 196, in the first paragraph, the author argues as follows ...

Similar threads

Back
Top