A magnetic needle free to rotate in a vertica | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The horizontal component of the earth's magnetic field is given as $B_{H} = 0.35 \; G$.The angle of dip $\delta$ is the angle that the total magne

Vedclass · Accepted Answer

$0.38$

Vedclass · Answer

(A) The horizontal component of the earth's magnetic field is given as $B_{H} = 0.35 \; G$.The angle of dip $\delta$ is the angle that the total magnetic field makes with the horizontal,which is given as $\delta = 22^{\circ}$.The relationship between the total magnetic field $B$ and its horizontal component $B_{H}$ is given by $B_{H} = B \cos \delta$.Rearranging the formula to solve for $B$,we get $B = \frac{B_{H}}{\cos \delta}$.Substituting the given values: $B = \frac{0.35}{\cos 22^{\circ}}$.Using $\cos 22^{\circ} \approx 0.9272$,we get $B = \frac{0.35}{0.9272} \approx 0.377 \; G$.Rounding to two decimal places,the magnitude of the earth's magnetic field is approximately $0.38 \; G$.

Similar Questions

The angle of dip at a place is $60^{\circ}$. At this place,the total intensity of the Earth's magnetic field is $0.64 \text{ units}$. The horizontal intensity of the Earth's magnetic field at this place is . . . . . . $\text{units}$.

The dip angle in a vertical plane at an angle of $\cos^{-1} \left( \frac{1}{\sqrt{2}} \right)$ from the magnetic meridian is $60^\circ$. Find the actual dip angle at that place.

$A$ dip needle lies initially in the magnetic meridian when it shows an angle of dip $\theta$ at a place. The dip circle is rotated through an angle $x$ in the horizontal plane and then it shows an angle of dip $\theta'$. Then $\frac{\tan \theta'}{\tan \theta}$ is

At a certain place,the vertical component of the Earth's magnetic field is $\sqrt{3}$ times the horizontal component of the Earth's magnetic field. If a magnetic needle is suspended freely in the air,then it will incline:

Vedclass Test Series

Exam Paper Generator

Online Exam Module