The magnetic field of Earth can be approximated as the magnetic field of a dipole. The
Chapter 32, Problem 61(choose chapter or problem)
The magnetic field of Earth can be approximated as the magnetic field of a dipole. The horizontal and vertical components of this field at any distance r from Earths center are given by Bh m0m4pr 3 cos lm, Bv m0m2pr 3 sin lm,S where lm is the magnetic latitude (this type of latitude is measured from the geomagnetic equator toward the north or south geomagnetic pole). Assume that Earths magnetic dipole moment has magnitude m 8.00 1022 A m2 . (a) Show that the magnitude of Earths field at latitude lm is given by B m0m4pr 3 21 3 sin2 lm. (b) Show that the inclination fi of the magnetic field is related to the magnetic latitude lm by tan fi 2 tan lm.
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