Magneto-motive force is a quantity representing the line integral of the magnetic intensity around a closed line and is expressed in Ampere-Turns.

Magnetomotive_force (Wikipedia)

In physics, the **magnetomotive force** (abbreviated **mmf** or **MMF**, symbol ) is a quantity appearing in the equation for the magnetic flux in a magnetic circuit, Hopkinson's law. It is the property of certain substances or phenomena that give rise to magnetic fields:
where Φ is the magnetic flux and is the reluctance of the circuit. It can be seen that the magnetomotive force plays a role in this equation analogous to the voltage V in Ohm's law, *V* = *IR*, since it is the cause of magnetic flux in a magnetic circuit:

- where N is the number of turns in a coil and I is the electric current through the coil.
- where Φ is the magnetic flux and is the magnetic reluctance
- where
*H*is the magnetizing force (the strength of the magnetizing field) and L is the mean length of a solenoid or the circumference of a toroid.