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Gvd of full bridge

To find the Gvd of a full bridge: In a full bridge if the primary switches at fsw then the inductor sees 2fsw due to the center tapped secondary. So to fing the Gvd can we average the currents and voltage of C and L from 0 to Tsw/2 as from Tsw/2 to Tsw they are repeated?

Will this work? If it does it can be applied to a push pull converter and half bridge too, correct?

Proximity effect

Can we have a situation where m is less than 1? Certainly seems so from the geometry and MMF graph.

Extra Proximity Loss Problem in HW 12

For the extra proximity loss problem in HW 12 for part b, isn't the proximity loss a function of φ as well as p? The added loss for each layer due to the proximity effect is φ *Q, and we can easily calculate Q, so it seems it should be a function of φ as well, unless we just assume it is something real high like 10.