an adjustable toroidal transformer

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Has anyone ever heard of a way to make a gapped toriodal adjustable/tunable on the fly? with a 104 mil gap the target inductance is 40 mH after the primary is wound. 300T 20 gauge with 29 turnes 11 gauge. we are putting out 3500 watts rms into a ceramic array. The array specs change at depth hence the need to tune to the different specifications of the changing array.
Thanks in advance for any help,
Bill
 
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