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\subsection{Varying the Current}   However, the same The  relationship described in Eq. \ref{eq:growthrate} can not be applied to the degree of polarization (or or magnetization. In order to determine whither the degree of polarization depends on the strength of magnetic field, we have to vary the current. When varying the current, for electronic systems the fractional populations is effected by  the magnetization). g-factor or the spectroscopic splitting factor. This causes and lower and upper state, where $N_1$ represents the lower state and $N_2$ represents the upper state. The difference between these two states multiplied by the magnetic moment describes the magnetization of the field. The following relationship can be expressed in the equation below \textbf{(cite textbook)},   \begin{equation}   \label{eq:tanh}  M=(N_1-N_2)\mu= N\mu\cdot\frac{e^x-e^{-x}}{e^x+e^{-x}}=N\mu tanhx  \end{equation}  Theory predicts that magnetization follows the relationship described in Equation \textbf{(insert eqn)} because magnetization is effected by quantum factors within the atom as well as the applied magnetic field, so it cannot be as simply modeled by an exponential. \textbf{(cite textbook)}\\ \\  \\   \subsection{Studying Larmor precession}