Mass of an Electron: Helmholtz Coil Relation

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The discussion centers on determining the mass of an electron using Helmholtz coils and the relationship between magnetic force, current, and voltage. Key equations derived include F = Bev, e/m = 2V / B^2r^2, and m = e/k x I^2r^2 / V. Participants express confusion about how these equations relate to the strength of current and voltage. Clarification is sought on the meaning of the initial equations and their application in the experiment. Understanding these relationships is crucial for accurately calculating the electron's mass.
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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"?
 
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