Question

Consider a charged spherical shell of radius a having a constant surface charge density σ0, rotating...

Consider a charged spherical shell of radius a having a constant surface charge density σ0, rotating about the z-axis with angular frequency ω.

(a) Find the electric and magnetic fields outside of the shell.

(b) What is the electric pressure on the surface charges? What is the magnetic pressure due to the surface currents?

(c) Find the Poynting vector outside of the shell.

(d) What is the angular momentum density outside of the shell? What is the total angular momentum stored in the field?

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