# Magnetic Dipole Moment

 Magnetic Field Strength: Current: Area Of Loop:

Output: Press calculate

Formula: $$\vec{\mu} = I \cdot A \cdot \vec{n}$$

The magnetic dipole moment ($$\vec{\mu}$$) of a current-carrying loop is a vector quantity that represents the strength and orientation of a magnetic field produced by the loop. It is calculated as the product of the current (I) flowing through the loop, the area (A) of the loop, and the unit vector ($$\vec{n}$$) perpendicular to the plane of the loop. For simplicity, this formula assumes the loop is in a uniform magnetic field and aligns with the magnetic field lines, so the unit vector can be omitted, and only the magnitude is considered.

In mathematical terms, $$\mu$$ denotes the magnetic dipole moment, I is the current flowing through the loop, and A is the area of the loop.

In practical applications, the magnetic dipole moment is important in designing electromagnets, electric motors, generators, and MRIs, and it plays a crucial role in the atomic and nuclear scale, influencing the behavior of atoms and nuclei in magnetic fields.