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Self inductance of an air core inductor increases from 0.01 mH to 10mH when an iron core is introduced in it. What is the relative permeability of core ?

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$L_{0} = \frac{μ_{0} N^{2} A}{l} a n d L = \frac{μ N^{2} A}{l} ∴ \frac{L}{L_{0}} = \frac{μ}{μ_{0}} = μ_{r} = 100$

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