A wooden toroidal core with a square cross section has an inner radius of \( 10 \mathrm{~cm} \) ...

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A wooden toroidal core with a square cross section has an inner radius of \( 10 \mathrm{~cm} \) and an outer radius of \( 12 \mathrm{~cm} \). It is wound with one layer of wire (of diameter \( 1.0 \mathrm{~mm} \) and resistance per meter \( 0.020 \Omega / \mathrm{m} \) ). What are (a) the inductance and (b) the inductive time constant of the resulting toroid? Ignore the thickness of the insulation on the wire.
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