Starting from the magnetic field at a distance h about the axis of a circular loop of radius R through which a current circulates I. Show that when h ≫ R the field approaches that of a magnetic dipole. Find how far one has to go for the dipole approximation to be within 1% of the true field

University Physics Volume 2
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ISBN:9781938168161
Author:OpenStax
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Chapter11: Magnetic Forces And Fields
Section: Chapter Questions
Problem 91AP: Consider an electron rotating in a circular orbit of radius r. Show that the magnitudes of the...
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Starting from the magnetic field at a distance h about the axis of a circular loop of radius R through which a current circulates I. Show that when h ≫ R the field approaches that of a magnetic dipole. Find how far one has to go for the dipole approximation to be within 1% of the true field

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