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Q.Where on the surface of the earth is the vertical component of earth's magnetic field zero?

Manipur CohsemCOHSEM Manipur Higher Secondary Board 2019Subjective· 1mImportance★★★★★
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At the magnetic equator the field is entirely horizontal, so the vertical component BV=0B_V=0 and the angle of dip δ=0\delta=0.

The Earth's magnetic field at any point can be resolved into a horizontal component BHB_H and a vertical component BVB_V, related to the total field BB and the angle of dip δ\delta by

BH=Bcos⁡δ,BV=Bsin⁡δB_H = B\cos\delta,\qquad B_V = B\sin\delta

At the magnetic equator, the Earth's field lines run parallel to the surface (purely horizontal), so the angle of dip δ=0∘\delta = 0^\circ. Hence

BV=Bsin⁡0∘=0B_V = B\sin 0^\circ = 0 …

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