Electromagnetic Field, H vs. B

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SUMMARY

The discussion centers on the distinction between magnetic field strength (H) and magnetic flux density (B) in electromagnetism. The formula for H is provided as H = (I*N*R^2) / (2*sqrt(R^2+x^2)^3), where I is current, N is the number of turns, R is the radius of the loop, and x is the distance from the center. The insertion of a soft iron core into a coil increases the magnetic flux density (B) without affecting the magnetic field strength (H), as H depends solely on the free current. Key references for further understanding include "Intro to Electromagnetic Compatibility" by Clayton Paul and "Noise Reduction Techniques in Electronic Systems" by Henry Ott.

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  • Understanding of basic electromagnetism concepts
  • Familiarity with magnetic field equations
  • Knowledge of magnetic materials and their properties
  • Basic grasp of vector mathematics in physics
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  • Study the relationship between H and B in electromagnetic theory
  • Explore the role of permeability in magnetic materials
  • Learn about the effects of different core materials on inductance
  • Investigate practical applications of H and B in electromagnetic devices
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Students, engineers, and researchers in the fields of electromagnetism, electrical engineering, and physics who seek to deepen their understanding of magnetic field concepts and their applications.

temujin
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I have a problem understanding the meaning of magnetic field strength, denotet H.

I have the following example from a textbook:

1. The path of magnetic field strength developed in a conductor loop is given by the formula H = (I*N*R^2) / (2*sqrt(R^2+x^2)^3)
I = current
N=number of turns
R=radius of loop
x=distance from the center.

Now, my textbook says "If a soft iron core is inserted into a coil-all other things remaining equal-then the force acting on a magnetic needle will increase. I*N remains constant and therefore so does the field strength. However, the flux density "B" -the total number of flux lines-which is decisive for the force generated has increased."

So if the magnetic force acting on a magnetic needle increases, why does not the field strength increase. And what exactly is the difference between H and B. Does anyone know any good web sites, tutorials etc on electromagnetism, inductive coupling.

t.
 
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Three good references are:
1. Intro to Electromagnetic Compatibility by Clayton Paul
2. Noise Reduction Techniques in Electronic Systems by Henry Ott
3. Electromagnetic Compatibility Handbook by Kenneth Kaiser

The first two are required reading for EMC/EMI engineers (or should be!). The third is a 2600 page book that instructs through examples. I would start with the first two. Additionally you could look at college level texts such as Electromagnetics by Kraus or Applied Electromagnetics by Shen and Kong (if it is still in print.
 
Gosh it's been so long since I studie EM in college.
Difference between H and B is that, one is the Electric field and the other is the magnetic field. They always accompany each other perpendicular to each other.

I am sure someone here will be able to post something more detailed. Until try Google.
 
amt said:
Difference between H and B is that, one is the Electric field and the other is the magnetic field. They always accompany each other perpendicular to each other.
Not so. Both B and H are vectors used in describing magnetism. B is the fundamental magnetic field, sometimes called "magnetic induction" to distinguish it from H; H, often called the "magnetic field strength", is useful in discussing magnetism in the presence of magnetic materials.
 
temujin said:
So if the magnetic force acting on a magnetic needle increases, why does not the field strength increase. And what exactly is the difference between H and B.
The names of the magnetic vectors aren't particulary helpful. The magnetic field (B) increases, but the magnetic field "strength" (just the name attached to H) does not. H only depends on the "free" current (I in the coil).

You may find this helpful: http://hyperphysics.phy-astr.gsu.edu/hbase/solids/magpr.html
 
Yes- I apologize for my mistake. I just referred to some text.
H=B/u, where 'u' is the permiability constant.

The Electric Field should have been 'E'.
 
Doc Al said:
The names of the magnetic vectors aren't particulary helpful. The magnetic field (B) increases, but the magnetic field "strength" (just the name attached to H) does not. H only depends on the "free" current (I in the coil).

You may find this helpful: http://hyperphysics.phy-astr.gsu.edu/hbase/solids/magpr.html


I agree with Doc Al. It took me a little while to get it, but there is a very important difference between B and H. Like Doc Al said, B is the magnetic field that is independent of source. There are two main sources of magnetism. The first comes from the material in the form of para/diamagnetism or ferromagnetism. The second comes from free current passing through the material. To find H, B is separated into the two parts, coming from free current and "bound" current. As Doc Al said, H is the name given to the free current part. H is used often by experimentalists because when they want to control the amount of magnetic field, they cannot easily change the magnetism inherent inside the material they're using. Instead, they change the amount of current passing through the material. So effectively, they are only changing H. Your example, however, is an example of them "changing the material" by filling the air with a piece of iron, changing the system's inherent magnetism.

Hope that helps :smile:
 
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