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## 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

[tex]\int H \cdot d \ell = F[/tex]

## The Attempt at a Solution

So a bit confused. Wiki says that this equation

[tex]\int H \cdot d \ell = F[/tex]

is a force, the magneto-motive-force. But this is the H-field multiplied by a length [tex]\ell[/tex]. 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

[tex]\int H \cdot d\ell = I[/tex]

I know this because

[tex]H = \frac{I}{2\pi r}[/tex]

you can see why by rearranging it

[tex]H \cdot r = \frac{I}{2\pi}[/tex]

so what gives?

Thanks in advance.