1. Tardigrade
  2. Question
  3. Physics
  4. At certain place, the horizontal component of earth’s magnetic field is 3.0 G and the angle dip at that place is 30°. The magnetic field of earth at that location

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. At certain place, the horizontal component of earth’s magnetic field is $3.0\, G$ and the angle dip at that place is $30^{\circ}$. The magnetic field of earth at that location

KCETKCET 2016Magnetism and Matter

Solution:

Given, $H=3.0$ gauss
Angle of dip, $ \delta=30^{\circ} $
$\frac{H}{B} =\cos\, \delta $
$H =B \,\cos \,\delta $
$3.0 =B \times \cos\, 30^{\circ} $
$B =\frac{3.0}{\cos \,30^{\circ}}=\frac{3}{\sqrt{3} / 2}=\frac{2 \times 3}{\sqrt{3}} $
$=\frac{6}{1.73}=3.5 \,G$