i. Magnetic force experienced per unit pole strength is magnetic field \(\overset\rightarrow{B}\) at that place.
ii. This field can be resolved in components along the horizontal (\(\overset\rightarrow{B}_H\)) and along vertical (\(\overset\rightarrow{B}_v\)).
iii. The two components are related with the angle of dip (ø) as, BH = B cos ø, Bv = B sin ø
\(\frac{B_v}{B_H}\) = tan ø
B2 = \(B^2_v+B^2_H\)
∴ B = \(\sqrt{B^2_V+B^2_H}\)
iv. At the magnetic North pole: \(\overset\rightarrow{B}=\overset\rightarrow{B}_V\) directed upward, \(\overset\rightarrow{B}_H\) = 0 and ø = 90°.
v. At the magnetic south pole: \(\overset\rightarrow{B}=\overset\rightarrow{B}_V\) directed downward, \(\overset\rightarrow{B}_H\) = 0 and ø = 270°.
vi. Anywhere on the magnetic equator (magnetic great circle): B = BH along South to North, \(\overset\rightarrow{B}_V\) = 0 and ø = 0