Magnetic Multipoles from Electric Multipoles Consider a static and azimuthally symmetric charge distribution ρ(𝐫) which produces no electric field outside itself except a single, pure, spherical electric multipole field of order ℓ. Show that, when rotated rigidly about its symmetry axis with frequency ω, such a distribution generally produces a magnetic field outside of itself which is a superposition of two pure magnetic multipole fields, one of order l 1 and one of order ℓ-1. | Numerade
Magnetic Multipoles from Electric Multipoles Consider a static and azimuthally symmetric charge distribution ρ(𝐫) which produces no electric field outside itself except a single, pure, spherical electric multipole field of order ℓ. Show that, when rotated rigidly about its symmetry axis with frequency ω, such a distribution generally produces a magnetic field outside of itself which is a superposition of two pure magnetic multipole fields, one of order l 1 and one of order ℓ-1. | Numerade
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