Magnetomotive force and the H-field

[help1please]

Homework Statement

The magnetomotive force is given as an integral of the H-field. I want to know how this can be a force.

Homework Equations

\int H \cdot d \ell = F

The Attempt at a Solution

So a bit confused. Wiki says that this equation

\int H \cdot d \ell = F

is a force, the magneto-motive-force. But this is the H-field multiplied by a length \ell. From what I knew about the H-field, if you multiply the H-field with a length, you should get a current, not a force as

\int H \cdot d\ell = I

I know this because

H = \frac{I}{2\pi r}

you can see why by rearranging it

H \cdot r = \frac{I}{2\pi}

so what gives?

Thanks in advance.

 

[vela]

It's analogous to electromotive force. Neither electromotive force or magnetomotive force is a force in the traditional sense. That is, it's not measured in Newtons in the SI unit system.