Considering the earth as a short magnet with its centre coinciding with the centre of earth, show that the angle of dip `phi` is related to magnetic latitude `lambda` through the relation `tan phi=2 tan lambda`

Define the terms angle of dip. Derive the relation between angle of dip and the resultant magnetic field of earth at a place.

The earth's magnetic field may be considered to be due to a short magnet placed at the centre of the earth annd oriented along the magnetic south-north direction. The ratio of the magnitude of the magnetic field on the earth's magnetic equator to that at the magnetic poles is