To do the job right you need to know the magnetic characteristics of the core material. The flux density you want to use, the effective cross sectional area of the core. Armed with those numbers you can calculate the number of turns, and all the rest. Formulas are available in many texts.
The wire size will depend on the current you expect to flow. The power handling is limited by the window area and wire resistivity.
The wire size will depend on the current you expect to flow. The power handling is limited by the window area and wire resistivity.
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