FC Analysis

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For each beam pulse:

[math] ADC_{ave}^{pulse}=\frac{\sum_{i=1}^{16}{ADC_{i}*i}}{\sum_{i=1}^{16}{ADC_{i}}};[/math]

For distribution over all beam pulses (assuming it's Gaussian):

[math] ADC_{ave}=\frac{\sum_{i=1}^{pulses}{ADC_{ave}^{pulse}}}{pulses};[/math]

[math] ADC_{sigma}={ \sqrt{\frac{1}{pulses}\sum_{i=1}^{pulses}{\left(ADC_{ave}^{pulse} - ADC_{ave}\right)^{2}}}};[/math]

Below is the plot of the charge in Faraday cup (pC) as a function of magnet current (vertical axis, A) (basically magnetic field) and ADC (horizontal axis).

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