Difference between revisions of "ADC data"
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(Created page with "=== ADC data ==== Given that the center of the paddle is x=0 and +x is to the left and -x is to the right we have the following quantities. * From TDC *# <math>T_{L} = t_{o} +...") |
(→ADC data =) |
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− | === ADC data | + | === ADC data === |
Given that the center of the paddle is x=0 and +x is to the left and -x is to the right we have the following quantities. | Given that the center of the paddle is x=0 and +x is to the left and -x is to the right we have the following quantities. | ||
* From TDC | * From TDC | ||
− | *# <math>T_{L} = t_{o} + \frac{L-x}{v_{o}} + t_{L} </math> | + | *# <math>T_{L} = t_{o} + \frac{L-x}{v_{o}} + t_{L} </math> |
*# <math>T_{R} = t_{o} + \frac{L+x}{v_{o}} + t_{R} </math> | *# <math>T_{R} = t_{o} + \frac{L+x}{v_{o}} + t_{R} </math> | ||
*# <math>\Delta T = T_{R} - T_{L} </math> | *# <math>\Delta T = T_{R} - T_{L} </math> | ||
*# <math>\delta = t_{R} - t_{L} </math> | *# <math>\delta = t_{R} - t_{L} </math> | ||
*# <math>x = \frac{1}{2}(\Delta T - \delta)v_{o} </math> | *# <math>x = \frac{1}{2}(\Delta T - \delta)v_{o} </math> | ||
+ | |||
+ | * From ADC | ||
+ | *# <math>E_{L} = \epsilon_{L}E_{0}e^{\frac{-(L-x)}{d}} </math> | ||
+ | *# <math>E_{R} = \epsilon_{R}E_{0}e^{\frac{-(L+x)}{d}} </math> | ||
+ | *# <math>x = ln(\frac{E_{L}}{E_{R}}\frac{\epsilon_{R}}{\epsilon_{L}})}\frac{d}{2} </math> |
Revision as of 17:29, 18 May 2015
ADC data
Given that the center of the paddle is x=0 and +x is to the left and -x is to the right we have the following quantities.
- From TDC
- From ADC
- Failed to parse (syntax error): x = ln(\frac{E_{L}}{E_{R}}\frac{\epsilon_{R}}{\epsilon_{L}})}\frac{d}{2}