A nonuniform, nonconducting disk of mass M, radius R, and total charge Q has a surface charge

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A nonuniform, nonconducting disk of mass M, radius R, and total charge Q has a surface charge density σ = σ0r/R and a mass per unit area σm = (M/Q)σ. The disk rotates with angular velocity ω about its axis.

(a) Show that the magnetic moment of the disk has a magnitude μ = 1/5 πωσ0R4 = 3/10 QωR2.

(b) Show that the magnetic moment m and angular momentum L are related by m = (Q/2M)L

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