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The physical principle that produces and electric current by an electric generator is the

Conservation of the Magnetic field: 0 =(d/dr + Del)(Bs + Bv)

The field B is a quaternion field with the scalar part Bs and the vector part Bv.

0= dBv/dr + Del Bs + DelxBv = dBv/cdt + Del Bs + DelxBv

This is the vector part (generator) of the Conservation,

The magnetic field and electric field are related E=cB thus

0= dBv/cdt + Del Bs + DelxBv = dBv/dt + Del Es + DelxEv

Faraday did not include the scalar field and the term Del Es is missing from his Law.

Del Es is the gradient of the scalar electric field and provides the back emf.

The scalar part of the conservation of B is:

0= dBs/dr - Del.Bv

Here too, the scalar filed Bs is left out and scientists declare that Del.Bv is always zero.

This too is wrong dBs/dt = Del.Ev = rho/epsilon = zc rho = zJs

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Q: What physical principle involving electric charges and a magnetic field is employed in the production of an electric current by an electric generator?
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