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The core of a toroid having 3000 turns has inner and outer radii of 11cm and 12cm respectively. The magnetic flux density in the core for a current of 0.70A is 2.5T. What is the relative permeability of the core?

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484

584

384

684

answer is D.

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Detailed Solution

$B = \frac{μNi}{2 πr}; μ = \frac{2 πrB}{Ni} \Rightarrow μ_{r} = \frac{μ}{μ_{0}} = 684$

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