Question

At a certain place the horizontal component of the earth’s magnetic field is B₀ and the angle of dip is 45^o. The total intensity of the field at that place will be

• A. B₀
• B. $\sqrt { 2 } B _ { 0 }$
• C. 2 B₀
• D. $B _ { 0 } ^ { 2 }$

Answer 1

Answer: (B)

$\sqrt { 2 } B _ { 0 }$

Answer 2

$B _ { H } = B \sin \phi \Rightarrow B = \frac { B _ { H } } { \sin \phi }$ $\Rightarrow B = \frac { B _ { o } } { \sin 45 ^ { \circ } } = \sqrt { 2 } B _ { 0 }$