The two-winding magnetic circuit of figure has a winding on

The two-winding magnetic circuit of figure has a winding on

The two-winding magnetic circuit of figure has a winding on a fixed yoke and a second winding on a moveable element. The moveable element is constrained to motion such that the lengths of both air gaps remain equal.
a. Find the self-inductances of windings 1 and 2 in terms of the core dimensions and the number of turns.
b. Find the mutual inductance between the two windings.
c. Calculate the co-energy Wfld (il, i2).
d. Find an expression for the force acting on the moveable element as a function of the windingcurrents.

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