The magnetic moment, also known as the magnetic dipole moment, is a measurement of an object's inclination to align with a magnetic field.
"The magnetic direction and strength of a magnet or other item that creates a magnetic field are explained as a magnetic moment."
The magnetic moment is measured as a vector quantity. The items have a tendency to align themselves such that the magnetic moment vector is parallel to the magnetic field lines.
The magnetic moment of a magnet points from the south to the north pole. A magnet's magnetic field is accurately proportional to its magnetic moment.
Formula of Magnetic Dipole Moment: A magnetic moment is a vector quantity. It connects an object's torque to a magnetic field. This is expressed mathematically as:
The magnetic moment is created using one of two methods:
Magnetometers are equipment used to calculate magnetic moments. However, not all magnetometers are gauged to detect the magnetic moment. Some of these sensors just measure magnetic fields, and the magnetic moment is calculated based on the observed magnetic field.
Unit of Magnetic Moment: The magnetic moment is defined in the articulation of the current loop as the product of the current flowing and the area,
A Magnetic Dipole is made up of two opposing poles of equal strength separated by a small distance. Magnetic dipoles include a bar magnet, a compass needle, and so on. We will demonstrate how a current loop functions as a magnetic dipole.
The product of pole strength and the distance between the two poles is defined as magnetic dipole moment. The magnet length is defined as the distance between the two poles of a magnetic or magnetic dipole and is expressed as the 2.
If m is the power of any magnetic pole, the magnetic dipole moment of the magnet is represented by M, which is written as:
M = m/2
The magnetic dipole moment is a vector with a direction from the magnet's south to its north pole. The force on a magnetic dipole is due to both poles of the magnet, and we study the magnetic dipole of a bar magnet and assume that the magnet is kept in an undamaged magnetic field B. In such case, the force on the individual poles is coupled as:
These forces are identical in magnitude but opposite in direction. They form a parallel couple that rotates the magnet in a clockwise direction. It produces a net torque on the magnet due to the individual forces in a couple. Hence, torque acts on the bar magnet.
τ is the Moment of the couple.
τ = mB × 2L sin θ
As a result of the preceding explanation, where θ is the angle between the magnetic field and the magnet.
M = m x 2L
As a result, the magnetic dipole moment is articulated by:
ττ = MB sin θ
In vector form, it can be paraphrased as:
τ = M × B
The magnetic dipole force must be expressed in this manner.