Solved: The magnetic field of Earth can be approximated as
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 Earth's center are given by B /-toM \ B /-toM \ h = 4171'3 cos "m' v = 27Tr 3 SIn """ where Am is the magnetic latitude (this type of latitude is measured from the geomagnetic equator toward the north or south geomagnetic pole). Assume that Earth's magnetic dipole moment has magnitude M = 8.00 X 1022 A m2. (a) Show that the magnitude of Earth's field at latitude Am is given by (b) Show that the inclination i of the magnetic field is related to the magnetic latitude Am by tan i = 2 tan Am
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