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 where λ m, 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 μ = 8.00 x 1022 A ?? m2.

(a) Show that the magnitude of Earth's field at latitude λ m is given by

(b) Show that the inclination Φ i of the magnetic field is related to the magnetic latitude λ m by tan Φi = 2 tan λm.

Transcribed Image Text:

sin Aur cos A Br B, 27r3 4 ar V1 + 3 sin? A- 4 ur3 Part (a)