Let j (r) be an arbitrary current distribution. (a) Show that the components of the magnetic dipole

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Let j (r) be an arbitrary current distribution.

(a) Show that the components of the magnetic dipole moment m = 1/ 2 ∫ d³ r r × j are invariant to a rigid shift of the origin of coordinates.
(b) Show that the components of the Cartesian magnetic quadrupole moment

are invariant to a rigid shift of the origin only if the magnetic moment vanishes.

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Modern Electrodynamics

ISBN: 9780521896979

1st Edition

Authors: Andrew Zangwill

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Question Posted: Mar 29, 2023 01:41 AM

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Let j (r) be an arbitrary current distribution. (a) Show that the components of the magnetic dipole

Question:

m² = fd³r (r = j);rj ×

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a b If we shift the origin by a vector ...View the full answer

Modern Electrodynamics

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