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\section{Solving for the $e/m$ Ratio}  We can further simplify equation \ref{eq4} by making two careful choices about the experimental setup. First, we choose to investigate the point exactly halfway between the coils, as shown in Figure \ref{fig1}, such that $\textit{z}=\frac{\textit{d}}{2}$. Second, we set the coils such that the separation distance \textit{d} is the same as the radius \textit{R}. The denominator of equation \ref{eq4} then becomes $(\textit{R}^2 + (\frac{\textit{d}{2})^2)^\frac{3}{2}$. (\frac{\textit{d}}{2})^2)^\frac{3}{2}$.