(Solution) - a A phonograph record carries a uniform density of static -(2025 Original AI-Free Solution)

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(a) A phonograph record carries a uniform density of "static electricity" ?. If it rotates at angular velocity w, what is the surface current density K at a distance r from the center?
(b) A uniformly charged solid sphere, of radius R and total charge Q, is centered at the origin and spinning at a constant angular velocity w about the z axis. Find the current density J at any point (r, ?, ?) within the sphere.