(adsbygoogle = window.adsbygoogle || []).push({}); Express the current density of a spherical shell of radius a, rotating with angular velocity omega, with surface charge density sigma

Delta function will be denoted d(x). Spherical coordinates will be used

I have concluded that for a given chunk (if we restrict to the 0<theta<pi/2 domain), the velocity will be given by v=a*Sin(theta)*(omega). It is clear that the current density will only have a phi component. I have concluded:

J_phi = (sigma)*a*Sin(theta)*(omega)*d(r'-a)

Where the delta function is used to restrict the current density to the sphere's surface.

Can anyone confirm that this reasoning is correct?

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# Homework Help: Current density of rotating spherical shell

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