Math Model
 

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    When working with our program we must assume xenon atoms all have same mass, atoms are transported equally and collisions all result in some angle of reflection. The force is calculated by let x equal the pxcor and y = pycor then the program will compute the:

 

sum-x (sum [field-charge-magnitude * sin (towards myself) / ((distance myself) ^ 2)] of charge-patches)

    let sum-y (sum [field-charge-magnitude * cos (towards myself) / ((distance myself) ^ 2)] of charge-patches)

    set field-strength (sqrt (sum-x ^ 2 + sum-y ^ 2)) ;   

set field-direction (atan sum-x sum-y) ;and direction

This will allow the turtle to tell the patch it's force strength.

 

Within our program one tick in the program equals millisecond, and the size of a patch is 1000 micrometers. The actual electromagnetic force acting on the particles, expressed varies for each of the three grids. The model shows a very low charge of about 100 volts, the medium of about 640. 1,280 volts will accelerate ions to 35,000 m/s.


Please feel free to look at the Program Design


 

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