A short bar magnet is placed in the magnetic | vedclass

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

Question

(C) For a short bar magnet placed with its north pole pointing towards the geographic north, the neutral points lie on the equatorial line (East-West

Vedclass · Accepted Answer

$9.7$

Vedclass · Answer

(C) For a short bar magnet placed with its north pole pointing towards the geographic north, the neutral points lie on the equatorial line (East-West line).At the neutral point, the magnetic field due to the magnet equals the horizontal component of the Earth's magnetic field $(B_H)$.The formula for the magnetic field on the equatorial line of a short bar magnet is $B = \frac{\mu_0}{4\pi} \cdot \frac{M}{r^3}$.Given: $r = 30 \, cm = 0.3 \, m$, $B_H = 3.6 	imes 10^{-5} \, T$, and $\frac{\mu_0}{4\pi} = 10^{-7} \, T \cdot m/A$.Equating the fields: $10^{-7} \cdot \frac{M}{(0.3)^3} = 3.6 	imes 10^{-5}$.Solving for $M$: $M = \frac{3.6 	imes 10^{-5} 	imes (0.3)^3}{10^{-7}}$.$M = 3.6 	imes 10^2 	imes 0.027$.$M = 360 	imes 0.027 = 9.72 \, A \cdot m^2$.Thus, the magnetic moment is approximately $9.7 \, A \cdot m^2$.

Similar Questions

In the sum and difference method of a vibration magnetometer,the time period is greater if:

$A$ dip circle lies initially in the magnetic meridian,it shows an angle of dip $\delta$ at a place. The dip circle is rotated through an angle $\alpha$ in the horizontal plane and then it shows an angle of dip $\delta^{\prime}$. Hence $\frac{\tan \delta^{\prime}}{\tan \delta}$ is

$A$ magnet makes $40$ oscillations per minute at a place having magnetic field intensity of $0.1 \times 10^{-5} \,T$. At another place,it takes $2.5 \,s$ to complete one vibration. The value of earth's horizontal field at that place is:

The frequency of vibration in a vibration magnetometer of the combination of two bar magnets of magnetic moments $M_1$ and $M_2$ is $6 \ Hz$ when like poles are tied together and it is $2 \ Hz$ when the unlike poles are tied together, then the ratio $M_1: M_2$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module