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I am following this page that calculates the flux density in a C core with an air gap.

My confusion is that I am using 50Hz AC instead of DC I have control over the voltage amplitude since I would be using a variac to do my initial tests.

Would the calculations differ for AC, my guess is that it would be different since the AC impedance of the coil would come into play and that would change the MMF(magneto-motive force) value.

I have a C core of Electrical steel (laminated) with the following parameters

Permeabity of core = 5.0×10

^{−3}H/m

Cross section Area = 1cm

^{2}

Magnetic Path Length = 19cm

Air Gap length = 1cm

Flux Density needed in air gap = 1Tesla

Would appreciate your thoughts on how to go about doing this calculation.

Thanks in advance.