If a magnet is suspended at an angle of 30 to the earth magnetic meridian , the dip needle makes angle of 45 with the horizontal . the real dip is ?

c0nman56 2022-10-21 Answered
If a magnet is suspended at an angle of 30 to the earth magnetic meridian , the dip needle makes angle of 45 with the horizontal . the real dip is ?
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Answers (1)

pawia6g
Answered 2022-10-22 Author has 14 answers
Let the vertical component of earth's magnetic field be V and its horizontal component at magnetic meridian be H.
Then the angle of dip θ at magnetic meridian will be given by
tan θ = V H ...[1]
When the dip needle is suspended at an angle of 30 to the earth magnetic meridian then it makes an angle 45 with the horizontal.
In this situation vertical component of earth's field responsible for its orientation with the horizontal direction, remains same as V but the component in horizontal direction becomes H cos 30
So tan 45 = V H cos 30
V H = cos 30 ...[2]
Comparing [1] and [2] we get
tan θ = cos 30 = 3 2
θ = tan 1 ( 3 2 ) 40.9
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