= vertical component of magnetic
field
; 
=
Horizontal component of magnetic field 
;
= 90° - latitude as measured
from magnetic equator.
Find loci of points for which (i) 
is minimum; (ii) dip angle is zero;
and (iii) dip angle is ± 
.
Answer:
(i) Given, vertical
component of earth's magnetic field, 
Horizontal
component of earth's magnetic field 
......
From
, we note that B is minimum if
cos 
= 0 or 
which is so, at magnetic equator.
Thus, B is minimum at magnetic equator which is the loci of points.
(ii)
If 
is the angle of dip, then tan = 
.
Angle
of dip is zero if 
= 0. It will be so if 
. So, the angle of dip is zero on
magnetic equator which is the loci of points.
(iii)
If is 45°, then tan 45° = 2 cot = 2/tan or tan= 2 or=
(2) is the loci of points.
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