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Dec11-10, 12:15 PM
1. The problem statement, all variables and given/known data
A linear magnetic material in the shape of a circular disk of radius R and thickness d (d<<R) has a uniform magnetization M parallel to its axis. Find B and H at the center of the disk
2. Relevant equations
3. The attempt at a solution
As the magnetization is uniform there is no bound volume density but there is bound surface current density Kb. Kb=MXn where n is in the r direction. B=Iu/2R at the center of the disc by the biot-savart law. At the center of the disc B=u(Kb)d/2R.
I'm having issues with H. VxH=Jfree (the free current density which in this case is 0). However H also=B/u which in this case is u(kb)d/2R at the center of the disk. So can H be nonzero somewhere even though there's no free current anywhere?
A linear magnetic material in the shape of a circular disk of radius R and thickness d (d<<R) has a uniform magnetization M parallel to its axis. Find B and H at the center of the disk
2. Relevant equations
3. The attempt at a solution
As the magnetization is uniform there is no bound volume density but there is bound surface current density Kb. Kb=MXn where n is in the r direction. B=Iu/2R at the center of the disc by the biot-savart law. At the center of the disc B=u(Kb)d/2R.
I'm having issues with H. VxH=Jfree (the free current density which in this case is 0). However H also=B/u which in this case is u(kb)d/2R at the center of the disk. So can H be nonzero somewhere even though there's no free current anywhere?