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Question:

How do I calculate the inductance of an iron core torroid inductor?

If the design of an inductor calls for 80 turns of .5mm wire around a 40mm OD iron torroidal core, how do I calculate the inductance in mH or uH?This isn't a homework problem, I'm building a circuit that calls for this inductor and I want to know what the resulting inductance is so that I don't have to build the inductor myself. I want to purchase one pre-wound.

Answer:

Inductance is given by Luo ur N^2 Ae/le where uo4 pi E-7, urrelative permeability, Nnumber of turns, Ae is cross sectional area of core [m^2], lelength of core [m].

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