Magnetism and Electromagnetism
The magnetomotive force is

The passage of magnetic field through an exciting coil
The sum of all currents embraced by one line of magnetic field
The voltage across the two ends of exciting coil
The flow of an electric current

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Magnetism and Electromagnetism
The left hand rule correlates to

Current, magnetic field and direction of force on a conductor
Magnetic field, electric field and direction of force on a conductor
Self induction, mutual induction and direction of force on a conductor
Current, induced e.m.f. and direction of force on a conductor

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