Download By convention magnetic momentum of a current loop is calculated by

Calculating magnetic momentum of the proton
By convention magnetic momentum of a current loop is
calculated by:
1)
M=i.A
Where M is the calculated magnetic momentum of the loop, i
is equal to the current in the loop and A is the area enclosed
of the loop.
An elementary particle like for instance the proton particle,
may be regarded as a closed current loop. Because the
particle has an electric unit charge, we can write this current
to:
2)
i=e/t
where e is equal to the electric unit charge and t is equal to
the spin envelope time of the particle.
The enclosed area of this lope is written by:
3) a=.R2x
The envelope spin velocity is calculated by the formula:
4) v=c.(re/Rs)2
The spin envelope time there will be:
5) T=2.Rs/(c.(re/Rs)2)
Using these results, the magnetic momentum may be
written:
6)
M=(e.c.re/2).(Rx/Rs)2.(1/Rs)
Now we assume that the spin forces around the two axes are
balanced by external forces towards the particle surface. For
the electric field spin direction we can write:
7)
Pressure=(m.v2/Rs ).(1/(2.Rs.ds)
For the magnetic field spin direction we have:
8)
p=(m.v2/Rx).(1/(2.Rx.s)
The pressure p is the same in both cases. Then you get:
9)
2.Rs2=2.Rx2
Then you get:
10) (Rx/Rs)2=
Now we can write the particles magnetic momentum:
11) M=(e.c.re/2)..(1/Rs)
The particles radius in the electric field spin direction may be
calculated by:
12) Rs=re.(m/me)1/3
Where m is equal to the proton particle mass and me is equal
to the electron mass.
Inserting all known values we get the magnetic momentum of
the proton to the formula:
13)Ms=1.85E-26
which is a value in good agreement with measurements.