Mass of an Electron: Helmholtz Coil Relation

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Homework Statement



Using Helmholtz coils we found the relationship between magnetic force and mass and therefore coming up with the mass of the electron, but I am so confused on how the process actually works in relation to the strength of the current in proportion to the strength of voltage.

Homework Equations



F = Bev
Bev = mV^2 / r
½mv^2 = eV
e/m = 2V / B^2r^2
B = 8μ0N x I
√125 a
e/m = (1.95/ μ0 x a^2/N^2) 2V/ I^2r^2 =(5.18 x 10^7) V/ I^2r^2; or, in simpler terms:
e/m = K x V/ I^2r^2
: m = e/k x I^2r^2 / V
e/k = 1.602 x 10-19/ 5.18 x 107 = 3.09 x 10^-27. Therefore, m = 3.09 x 10^-27 I^2r^2 / V.

these are the equations we ended up producing and therefore using...

The Attempt at a Solution

 
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We're going to need a question. It's very tedious to try to give a full lecture through this medium. Try to be more specific as to where you get confused.

For starters, do you know what the first three equations your list "say"?