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The Magnetic Susceptibility of Annealed Iron at Saturation is 4224. Find the Permeability of Annealed Iron at Saturation

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Question

The magnetic susceptibility of annealed iron at saturation is 4224. Find the permeability of
annealed iron at saturation. (μ0 = 4Π × 10−7 SI unit)

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Solution

χ = 4224

∴ μ = μ0 (1 + χ) 

= 4π × 10−7 (1 + 4224) 

= 16900 π × 10−7

= 169 × 3.142 × 10−5

= [log (169) + log (3.142)] × 10−5

= [2.2279 + 0.4972] × 10−5

= antilog (2.7251)] × 10−5

= 531 × 10−5

= 5.31 × 10−3 Hm−1

The permeability of annealed iron at saturation is 5.31 × 10−3 Hm−1.

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2012-2013 (October)

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