F=qvxB: PROOF that Force on charge or wire is the same



Example:
Water flows at 2 gallons/sec.
Gallon say contains 1 million water molecules
The area x length that contains the water is 1000m^2 x 100^m.

Can you figure out how many water molecules there is, and what is
their average velocity in m/sec.....Answer is yes.

**********LIKEWISE**************
Model: Current in a wire moving in between two N &S magnets

I = amperes = coulombs/sec = n_I q/sec (n_I is the number of charges)
A = area of wire
L = length of wire

F = ILB = n_I AL qv B

Since the number of charges in L is n_I *A* L = "n" therefore

F= nqv B where "n" is the total number of charges affected by the
magnetic field B.

-----------------------------------------------------
More precisely F= nqv B sin(angle) is the EXACT same as the Force
applied on a single charge where n = 1 ( F_singlecharge = qv B
sin(angle) )

In fact both the wire and the single charge also deflect in the same
direction as pertaining to the right hand rule.


CONCLUSION: THERE IS NO DIFFERENCE BETWEEN THE ****FORCE**** OF TWO
N&S MAGNETS ON A SINGLE CHARGE OR ON THE CURRENT (MULTIPLE MOVING
CHARGES) IN A WIRE.

***********************************

The above is important because in the physics book that specifies the
force is a result between the ****magnetic field of the current*****
versus the magnetic field of the N&S magnets thus LIKEWISE for a
single charge.

And the Force for the current in that wire = nqv x B thus nqv DOES
NOT MEAN the circular magnetic field doesn't interact with the N&S
magnet's magnetic field.

(F= g x m and not F= g x Gm/r^2 likewise for F = B x nqv)

.



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