# Gyromagnetic ratio for a classical rotating body

## Description

In physics, the gyromagnetic ratio (also sometimes known as the magnetogyric ratio in other disciplines) of a particle or system is the ratio of its magnetic momentum in an atom to its angular momentum, and it is often denoted by the symbol γ, gamma. Its SI unit is the radian per second per tesla (rad⋅s−1⋅T−1) or, equivalently, the coulomb per kilogram (C⋅kg−1). Gives the proportionality constant between the magnetic moment and the angular momentum. The term “gyromagnetic ratio” is always used as a synonym for a different but closely related quantity, the g-factor. The g-factor, unlike the gyromagnetic ratio, is dimensionless.

Consider a charged body rotating about an axis of symmetry. According to the laws of classical physics, it has both a magnetic dipole moment and an angular momentum due to its rotation. It can be shown that as long as its charge and mass are distributed identically (e.g., both distributed uniformly), its gyromagnetic ratio can be calculated with the shown equation.

Related formulas## Variables

γ | gyromagnetic ratio ((1*s^{-1}*T^{-1})) |

q | charge (C) |

m | mass (kg) |