Ohms Law for Magnetic Circuits
Recalling the equation introduced for Ohm's law for electric circuits.
The same equation can be applied for magnetic circuits. For magnetic circuits, the effect desired is the flux $\Phi$. The cause is the magnetomotive force (mmf) , which is the external force (or "pressure") required to set up the magnetic flux lines within the magnetic material. The opposition to the setting up of the flux $\Phi$ is the reluctance $S$.
Substituting, we have
In equation form,
This equation clearly indicates that an increase in the number of turns
or the current through the wire will result in an increased "pressure" on
the system to establish flux lines through the core.
Although there is a great deal of similarity between electric and
magnetic circuits, one must continue to realize that the flux $\Phi$ is not a
"flow" variable such as current in an electric circuit. Magnetic flux is
established in the core through the alteration of the atomic structure of
the core due to external pressure and is not a measure of the flow of
some charged particles through the core.
$$ \text{Effect} = {\text{cause} \over \text{opposition}} $$
$$\bbox[10px,border:1px solid grey]{\Phi = {m.m.f \over S}} \tag{1}$$
Fig. 1: Defining the components of a magnetomotive
force.
$$ \bbox[10px,border:1px solid grey]{m.m.f = NI} \, \text{(ampere-turns, At)} \tag{2}$$
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