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Equation (1) is dimensionally correct when the electron-charge is measured in franklins, and T is measured in ergs. When you want different units, you need to use a Wallot-Stroud type substitution. The measure of $T$ is in ergs, but keV are sought, likewise, $s$ is in cm, but needs to be in um. You then write $\frac {T\mbox{ ergs}}{s \mbox{ cms}} = ...



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