Question

The horizontal component of the earth's magnetic field is 0.22 Gauss and total magnetic field is 0.4 Gauss. The angle of dip. Is

• A. $\tan ^ { - 1 } ( 1 )$
• B. $\tan ^ { - 1 } ( \infty )$
• C. $\tan ^ { - 1 } ( 1.518 )$
• D. $\tan ^ { - 1 } ( \pi )$

Answer 1

Answer: (C)

$\tan ^ { - 1 } ( 1.518 )$

Answer 2

By using $B _ { H } = B \cos \phi$

⇒ $\cos \phi = \frac { B _ { H } } { B } = \frac { 0.22 } { 0.4 }$

⇒ $\tan \phi = \frac { \sqrt { ( 0.4 ) ^ { 2 } - ( 0.22 ) ^ { 2 } } } { 0.22 }$

⇒ $\phi = \tan ^ { - 1 } ( 1.518 )$