Definition:Gyromagnetic Ratio

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Definition

The gyromagnetic ratio of a particle $P$ is the ratio of its magnetic moment to its angular momentum.




Symbol

$\gamma$

The usual symbol used to denote gyromagnetic ratio is $\gamma$.


Its $\LaTeX$ code is \gamma .


Dimension

Gyromagnetic ratio has the dimension $\mathsf {I T M^{-1} }$.


Units

The SI unit for gyromagnetic ratio is radian per second per tesla: $\mathrm {rad \, s^{-1} \, T^{-1} }$ (equivalent to coulomb per kilogram: $\mathrm {C \, kg^{-1} }$).

The CGS unit for gyromagnetic ratio is radian per second per gauss: $\mathrm {rad \, s^{-1} \, Gs^{-1} }$.


Conversion Factors

\(\ds \) \(\) \(\ds 1\) radian per second per tesla
\(\ds \) \(=\) \(\ds 10^4\) hertz per gauss


Also see

  • Results about gyromagnetic ratio can be found here.


Sources