resultant magnetic momentum derivations
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Magnetic Moment is an important topic in the Physics syllabus of IIT JEE. The magnetic moment of a magnet is the quantity that finds the force that a magnet is capable of exerting on electric currents and the torque that the magnetic field ill exert on it. Magnetic moments are exhibited by numerous things including a loop of electric current, a bar magnet, an electron, a molecule or a planet.
As we have discussed in magnetic fields, magnetic moment is also a vector which as it has magnitude as well as a direction. The direction of the magnetic moment points from the south to North Pole of a magnet. The magnetic field produced by a magnet is proportional to its magnetic moment as well. The term magnetic moment refers to the system’s magnetic dipole moment. The dipole component of an object's magnetic field is symmetric about the direction of its magnetic dipole moment, and decreases as the inverse cube of the distance from the object.
Magnetic moment, which is also called a magnetic dipole moment, is a measure of the object's tendency to align with a magnetic field. Its positive direction depends on the way the object responds to the magnetic field. The objects have a tendency to place themselves in such a way that the magnetic moment vector becomes parallel to the magnetic field lines. Magnetic moment is basically generated in two ways including:
The Motion of Electric Charge
Spin Angular Momentum
For example, a loop of wire with a current running through it will have a magnetic moment proportional to the current and area of the loop pointing in the direction of your right thumb if your fingers are curling in the direction of the current.