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Question:
At a certain location in Africa, a compass points 12degree west of the geographic north. The north tip of the magnetic needle of a dip circle placed in the plane of magnetic meridian points 60degree above the horizontal. The horizontal component of the earths field is measured to be 0.16 G. Specify the direction and magnitude of the earths field at the location.
Answer:

Angle of declination, θ = 12°

Angle of dip, image073 NCERT Solutions class-12 physics Magnetism and Matter

Horizontal component of earths magnetic field, BH= 0.16 G

Earth’s magnetic field at the given location = B

We can relate B and BH as:

image074 NCERT Solutions class-12 physics Magnetism and Matter

image071 NCERT Solutions class-12 physics Magnetism and Matter

image075 NCERT Solutions class-12 physics Magnetism and Matter

Earths magnetic field lies in the vertical plane, 12°West of the geographic meridian, making an angle of 60°(upward) with the horizontal direction. Its magnitude is 0.32ss G.

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