# Why can we say $F=\phi R=NI=HL$ according to $V=IR$?

"Magnetomotive force is a quantity appearing in the equation for the magnetic flux in a magnetic circuit". This is the explanation of magnetomotive force from Wikipedia. Its equation is:

$$F=\phi R$$ $$\\phi\$$ is the magnetic flux.
$$\R\$$ is the reluctance of the circuit.

Why can we write $$\F=\phi R\$$ from this explanation, that is, "Magnetomotive force is a quantity appearing in the equation for the magnetic flux in a magnetic circuit"? The explanation does't mention $$\R\$$.

Next, Wikipedia says: "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", so, $$F=NI\\F=HL$$ $$\N\$$ is the number of turns in the coil.
$$\I\$$ is the electric current through the coil.
$$\H\$$ is the magnetizing force (the strength of the magnetizing field).
$$\L\$$ is the mean length of a solenoid or the circumference of a toroid.

Why can we write $$\F=NI=HL\$$ according to Ohm's law: $$\V=IR\$$ ?

Can anyone tell me the answers to these two questions ?

• You can't literally say F=NI=HL implies V=IR. I believe it's just meant to be an analogy. In the magnetic version of the equations flux is similar to current. Mar 15, 2022 at 8:17