Atomic Structure of Magnets: Difference between revisions

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==The Main Idea==
==The Main Idea==


The magnetic field produced by a magnet is the sum of the magnetic fields generated by each individual atom.  These very small magnetic fields are generated much like those of circular current loops; however instead of being generated by electrons flowing through a wire, the field in each individual atom is produced in one three different ways:  
The [[magnetic field]] produced by a magnet is the sum of the magnetic fields generated by each individual atom.  These very small magnetic fields are generated much like those of circular current loops; however instead of being generated by electrons flowing through a wire, the field in each individual atom is produced in one three different ways:  
# An electron orbiting around the atomic nucleus.
# An electron orbiting around the atomic nucleus.
# An electron rotating around its axis.
# An electron rotating around its axis.
# The rotation of protons and neutrons within the nucleus of the atom.  
# The rotation of protons and neutrons within the nucleus of the atom.  


All three of these situations produce a magnetic dipole proportional to the [[The Angular Momentum Principle|angular momentum]].  Together, the magnetic dipoles of all the atoms in the magnet sum to give the total magnetic dipole of the magnet.  The magnetic field at an observation location can then be found from this dipole.
All three of these situations produce a [[Magnetic Dipole Moment|magnetic dipole]] proportional to the [[The Angular Momentum Principle|angular momentum]].  Together, the magnetic dipoles of all the atoms in the magnet sum to give the total magnetic dipole of the magnet.  The magnetic field at an observation location can then be found from this dipole.


===A Mathematical Model===
===A Mathematical Model===

Revision as of 23:04, 4 December 2015

Austin Bryan


Short Description of Topic

The Main Idea

The magnetic field produced by a magnet is the sum of the magnetic fields generated by each individual atom. These very small magnetic fields are generated much like those of circular current loops; however instead of being generated by electrons flowing through a wire, the field in each individual atom is produced in one three different ways:

  1. An electron orbiting around the atomic nucleus.
  2. An electron rotating around its axis.
  3. The rotation of protons and neutrons within the nucleus of the atom.

All three of these situations produce a magnetic dipole proportional to the angular momentum. Together, the magnetic dipoles of all the atoms in the magnet sum to give the total magnetic dipole of the magnet. The magnetic field at an observation location can then be found from this dipole.

A Mathematical Model

What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.

A Computational Model

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