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Question: The angle of dip at a certain place is 30<sup>o</sup>. If the horizontal component of the earth’s ma...

The angle of dip at a certain place is 30o. If the horizontal component of the earth’s magnetic field is H, the intensity of the total magnetic field is

A

H2\frac { H } { 2 }

B

2H3\frac { 2 H } { \sqrt { 3 } }

C

H2H \sqrt { 2 }

D

H3H \sqrt { 3 }

Answer

2H3\frac { 2 H } { \sqrt { 3 } }

Explanation

Solution

BH=BcosϕB=BHcosϕB=BHcos30=2BH3B _ { H } = B \cos \phi \Rightarrow B = \frac { B _ { H } } { \cos \phi } \Rightarrow B = \frac { B _ { H } } { \cos 30 ^ { \circ } } = \frac { 2 B _ { H } } { \sqrt { 3 } }