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flying_fred
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Hi,
I've an experiment in which I've some magnetic material place into a coil that's used as sensor. Say it's a cylindrical one for the sake of simplicity.
I'm trying to evaluate the flux induced by the material into the coil so that I can optimize the coil parameters (size, position and later its shape).
The material magnetization is given as a function of position.
To start as simple as possible I'm trying to evaluate the flux induced by a small magnetic moment placed at the center of a circular loop, the moment being perpendicular to the loop plane. Then I'll integrate it over the whole coil, then over the whole material volume.
The moment axial component is given at:
http://en.wikipedia.org/wiki/Magnetic_moment#Magnetic_field_produced_by_a_magnetic_moment"
The problem I'm facing is that the integral over the loop surface doesn't converge.
Setting z=0, y=0 and x=r, then integrating 2 pi r Bz[r,0,0] over the [0,R] interval we get
[tex]\Phi =\int_0^R \frac{\mu \mu_{0}}{2 r^2} \, dr[/tex]
which obviously does not converge.
What am I missing?
Thanks for any hint,
Fred.
I've an experiment in which I've some magnetic material place into a coil that's used as sensor. Say it's a cylindrical one for the sake of simplicity.
I'm trying to evaluate the flux induced by the material into the coil so that I can optimize the coil parameters (size, position and later its shape).
The material magnetization is given as a function of position.
To start as simple as possible I'm trying to evaluate the flux induced by a small magnetic moment placed at the center of a circular loop, the moment being perpendicular to the loop plane. Then I'll integrate it over the whole coil, then over the whole material volume.
The moment axial component is given at:
http://en.wikipedia.org/wiki/Magnetic_moment#Magnetic_field_produced_by_a_magnetic_moment"
The problem I'm facing is that the integral over the loop surface doesn't converge.
Setting z=0, y=0 and x=r, then integrating 2 pi r Bz[r,0,0] over the [0,R] interval we get
[tex]\Phi =\int_0^R \frac{\mu \mu_{0}}{2 r^2} \, dr[/tex]
which obviously does not converge.
What am I missing?
Thanks for any hint,
Fred.
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