1.

At a certain location in Africa, a compass points 12^@ west of the geographic north. The north tip of the magnetic needle of a dip circle placed in the plane of magnetic meridian points 60^@ above the horizontal. The horizontal component of the earth's field is measured to be 0.16 G. Specify the direction and magnitude of the earth's field at the location.

Answer»

Solution :Here magnetic declination `theta = 12^@ ` west, angle of dip `delta = 60^@ and B_H=0.16 G`
`thereforeB_E =(B_H)/(cos delta) = (0.16)/(cos 60^@) =0.32 G`
As Africa is in southern hemisphere, the south pole of magnetic COMPASS TILTS downwards. It means that magnetic FIELD of earth POINTS upwards there.
HENCE, the earth.s magnetic field at the given place is 0.32 G and it lies in a vertical plane `12^@` west of the geographic meridian making an angle of `60^@` (upwards) with the horizontal direction.


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