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

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 (A) 0.3 G and δ = 30° (B) 0.4 G and δ = 40° (C) 0.5 G and δ = 50° (D) 0.6 G and δ = 60°

Tardigrade Admin · Accepted Answer

Here, BH = 0.3 G; Bv = 0.52 G The earths magnetic field B = √B2H + B2V = √(0.3)2 + (0.52)2 = 0.6 G and angle of dip, tan δ = (BV/BH) = (0.52/0.3) = 1.734 δ = tan-1 (1.734) = 60°

Q. 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

$0.3 G$ and $δ = 3 0^{\circ}$

$0.4 G$ and $δ = 4 0^{\circ}$

$0.5 G$ and $δ = 5 0^{\circ}$

$0.6 G$ and $δ = 6 0^{\circ}$

Here,
$B_{H} = 0.3 G$ ; $B_{v} = 0.52 G$
The earths magnetic field
$B = B_{H}^{2} + B_{V}^{2}$
$= (0.3)^{2} + (0.52)^{2}$
$= 0.6 G$
and angle of dip,
$t an δ = \frac{B _{V}}{B _{H}} = \frac{0.52}{0.3} = 1.734$
$δ = t a n^{- 1} (1.734) = 6 0^{\circ}$

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

0.3G and δ=30∘

0.4G and δ=40∘

0.5G and δ=50∘

0.6G and δ=60∘