A magnetic induction ? in a current-free region in a uniform medium is cylindrically symmetric with components

Question:

A magnetic induction ? in a current-free region in a uniform medium is cylindrically symmetric with components B_z(?, z) and B_?(?, z) and with a known B_z(0, z) on the axis of symmetry. The magnitude of the axial field varies slowly in z.

(a) Show that near the axis the axial and radial components of magnetic induction are approximately

(b) What are the magnitudes of the neglected terms, or equivalently what is the criterion defining "near" the axis?

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Classical Electrodynamics

ISBN: 978-0471309321

3rd Edition

Authors: John David Jackson

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Question Posted: Sep 08, 2011 08:50 AM

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A magnetic induction ? in a current-free region in a uniform medium is cylindrically symmetric with components

Question:

Гағв.(0, г) д2? В.(р, г) ~ В.(0, г) - (ӨР ав.(0, 2) d'B.(0, z) д2 -ӨЕ - (2 д)'я дz 16

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a Since m must be well behave for 0 B 0 Also given t...View the full answer

Classical Electrodynamics

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