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thatmaceguy
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Homework Statement
Long dielectric cylinder of radius R carries a built-in electrostatic polarization P
that is linearly proportional to the distance to the axis, P=[tex]\alpha[/tex]r, P is directed along
the radius-vector r. Cylinder is being rotated around the axis with angular velocity
[tex]\omega[/tex]. Find the magnetic field B on axis.
Homework Equations
The Attempt at a Solution
Conceptually I think I understand the problem, I'm just having a hard time (as usual) setting up the math.
Basically, I should be able to solve for the bound surface and volume charge, then find the bound surface and volume current from those bound charges and the angular velocity. After that I think I should able to find the magnetic vector potential (A) and finally B since it is equal to the curl of A.
I've been referencing Example 5.11 and problem 5.13 and from Griffiths but as I've implied, I have a really hard time assembling the actual math.
Thanks for any help/guidance you can give.