Talk:PlanetPhysics/Auxiliary Field H

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%%% This file is part of PlanetPhysics snapshot of 2011-09-01 %%% Primary Title: auxiliary field H %%% Primary Category Code: 41.20.Gz %%% Filename: AuxiliaryFieldH.tex %%% Version: 2 %%% Owner: bloftin %%% Author(s): bloftin %%% PlanetPhysics is released under the GNU Free Documentation License. %%% You should have received a file called fdl.txt along with this file. %%% If not, please write to gnu@gnu.org. \documentclass[12pt]{article} \pagestyle{empty} \setlength{\paperwidth}{8.5in} \setlength{\paperheight}{11in}

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The auxiliary \htmladdnormallink{field}{http://planetphysics.us/encyclopedia/CosmologicalConstant2.html}, {\bf H} is defined from the \htmladdnormallink{magnetic field}{http://planetphysics.us/encyclopedia/NeutrinoRestMass.html} {\bf B}, the \htmladdnormallink{magnetization}{http://planetphysics.us/encyclopedia/MagneticInductionVector.html} {\bf M} and the permeability of free space $\mu_0$.

$${\bf H} = \frac{\mu_0} - {\bf M}$$

Confusion sometimes arises because the {\bf H} field was named the magnetic field or magnetic field intensity in the past, while {\bf B} was denoted as the magnetic \htmladdnormallink{flux}{http://planetphysics.us/encyclopedia/AbsoluteMagnitude.html} density or magnetic induction. Similar to \htmladdnormallink{Thermodynamics}{http://planetphysics.us/encyclopedia/Thermodynamics.html}, where we can talk about macroscopic phenomenon and solve problems without dealing with microscopic properties, the {\bf H} field is a macroscopic field like the electric displacement {\bf D}.

{\bf References}

[1] Magnetic field, \htmladdnormallink{Wikipedia}{http://en.wikipedia.org/wiki/Magnetic_field}

[2] Jackson, D. "Classical Electrodynamics", John Wiley and Sons, Inc., 1975.

[3] Griffiths, D. "Introduction to Electrodynamics", Prentice-Hall, Inc., 1999.

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