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

The Horizontal And Vertical Components Of Earths Magnetic Field At Physics QuestionThe Horizontal And Vertical Components Of Earths Magnetic Field At Physics Question

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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