The horizontal and vertical components of earth’s magnetic field at a place

The horizontal and vertical components of earth’s magnetic field at a place are 0.3 G and 0.52 G. The earth’s magnetic field and the angle of dip are

Options

(a) 0.3 G and δ=30⁰
(b) 0.4 G and δ=40⁰
(c) 0.5 G and δ=50⁰
(d) 0.6 G and δ=60⁰

Correct Answer:

0.6 G and δ=60⁰

Explanation:

As, Bᴇ = √(Bʜ² + Bv²) and tan δ = Bv / Bʜ

Given, Bʜ = 0.3 G, Bv = 0.52 G

Bᴇ = √[(0.3)² + (0.52)²] = √0.36 = 0.6 G and δ = tan⁻¹ (Bv / Bʜ) = tan⁻¹ (0.52 / 0.3) = 60°

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