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Quiz 7 - Earth as a Magnet

The Earth's magnetic field can be represented by a magnetic dipole located at the Earth’s center. The dipole model of the Earth is quite good up to 4 RE, where RE is the radius of the Earth.

(a) Write down the expression for the Earth's magnetic field in spherical coordinate system assuming that the Earth's dipole moment M is oriented along the z axis (i.e. we are working with geomagnetic coordinates).

(b) The Earth's magnetic field on the surface of the Earth at the equator is ≈ 0.31 G. Calculate the magnetic field (magnitude and direction) at the north and south magnetic poles. (1 G = 10-4 T).

(c) Calculate the magnitude of the dipole moment of the Earth. Assume the radius of the Earth to be 6000 km.


Solution:


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