EasyManua.ls Logo

Bartington MS2 - Appendix 5. Calculating Magnetic Susceptibility; Fundamental Equations

Bartington MS2
82 pages
Print Icon
To Next Page IconTo Next Page
To Next Page IconTo Next Page
To Previous Page IconTo Previous Page
To Previous Page IconTo Previous Page
Loading...
BARTINGTON INSTRUMENTS
Page 80 of 82 OM0408/49

The magnetic state of a specimen is generally described by the following equation:
B=µ
0
(H+M) … (1)
where:
B is the flux density of the specimen in T (Tesla). (B = µH)
µ
0
is the permeability of free space in N A
-2
. This is a constant (4πx10
-7
)
H is the applied field strength in Am
-1
.
M is the magnetisation of the specimen in Am
-1
. (M = c
vol
H)
Dividing through by H we get:
µ= µ
0
+
µ
0
c
vol
… (2)
where:
µ is the permeability of the specimen (in N A
-2
)
k is the volume magnetic susceptibility of the specimen (dimensionless)
Rewriting, we get:
µ
0
c
vol
= µ - µ
0
… (2)
The MS2/3 magnetic susceptibility system relies on the principle that any changes in the
permeability of a core will cause a change to the inductance of a wound inductor.
The sensors operate on the principle of AC induction. Power is supplied to the oscillator circuit
within the sensor, generating a low intensity alternating magnetic field.
The frequency of oscillation is determined by the inductance of the system. When the inductor
contains only air, the permeabilty µ
0
determines the inductance. When a sample is introduced
inside the inductor, the change in permeability also leads to a change in inductance.
The meter reads the frequency values for µ
0
and µ, and uses them to calculate the change in
inductance, and thus the magnetic permeability. The magnetic susceptibility is then calculated
using equation (2).
The value of µ
0
is constant but the variable of interest is relatively small. Therefore any thermally
induced sensor drift needs to be eliminated by occasionally obtaining a new ‘air’ value, to re-
establish the µ
0
reference.

Table of Contents

Related product manuals