The Earth S Magnetic Field

Step 1: Understanding Earth's Magnetic Field Components
The earth's magnetic field can be resolved into two components:
1. Horizontal Component ( ): The component parallel to the surface of the earth.
2. Vertical Component ( ): The component perpendicular to the surface of the earth. The total magnetic field ( ) is given by: $ \delta B_H = 5 B_T = 13 \tan^{-1}\left(\frac{5}{12}\right) \tan^{-1}\left(\frac{5}{13}\right) \tan^{-1}\left(\frac{12}{5}\right) \frac{B_V}{B_H} = \frac{12}{5} \tan^{-1}\left(\frac{13}{5}\right) $
Incorrect, as this does not correspond to the correct ratio.