# Magnetic Boundary conditions

Magnetic Boundary conditions:-

In order to find out the ,   and   at the interface between two different magnetic materials boundary conditions are required.

Consider two magnetic materials having permeabilities     and  as shown in the figure We will find out these boundary conditions by using

1.   –  Gauss’s law in Magneto statics.
2. –  Ampere’s law.

In order to apply , a surface is required which is nothing but Gaussian surface (or) a Pillbox.

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(  -Because on the boundary  , so there exists no side of surface).

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since ,      .

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From equations (1) and (2)  the normal component of    is continuous at the boundary and the normal components of     is discontinuous at the boundary.

we know that .

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since  .

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The magnetisation normal components are also discontinuous.

To apply     a path is required, which is a closed one in a plane normal to the boundary surface.

Here a closed path is abcda , which encloses a surface current density k on the surface of the boundary

Then .

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(since    On the boundary)

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, So the tangential components of     and   are discontinuous.

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(or) .

When     and  .

Similar to normal components of magnetisation the tangential components are

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since   .

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Obtain the results for magnetisation by using the same procedure as that of  normal components.     (1 votes, average: 5.00 out of 5) Loading... ## Author: vikramarka

Completed M.Tech in Digital Electronics and Communication Systems and currently working as a faculty.

Posted on Categories Electro Magnetic Theory