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** (mmf) is a quantity appearing in the equation for the magnetic flux in a magnetic circuit, often called Ohm's law for magnetic circuits. It is the property of certain substances or phenomena that give rise to magnetic fields:

where *Φ* is the magnetic flux and *R* 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:

*ℱ*=*NI*- where
*N*is the number of turns in the coil and*I*is the electric current through the circuit.

- where
*ℱ*=*ΦR*- where
*Φ*is the magnetic flux and*R*is the magnetic reluctance

- where
*ℱ*=*HL*- 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

- where