How do you calculate relative permeability
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How do you calculate relative permeability

[From: ] [author: ] [Date: 11-05-25] [Hit: ]
where,cross-sectional area: A = 1.k = φ / µo n I A = 4x10-³ / [{4πx10^-7}(757.88)(1.4)(1.k = 1875-Dear Caroline,......
An iron ring of 420 mm mean diameter and 1.6 x 10^-3 m^2 cross-sectional area, has 1000 turns of wire wound uniformly around it. If a current of 1.4 A in the wire produces a magnetic flux of 4 x 10^-3 Wb in the iron core, estimate the relative permeability of the iron

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The magnetic flux density of a toroid is given by: B = µ n I

where,

permeability: µ = kµo
free space permeability: µo = 4πx10^-7 T-m/A
relative permeability: k = ?
# turns per unit length: n = 600/2πr = 1000/2π*0.21 = 757.88 turns/m
current: i = 1.4 A

The magnetic flux: φ = BA = µ n I A = kµo n I A

where,
cross-sectional area: A = 1.6x10-³ m²

k = φ / µo n I A = 4x10-³ / [{4πx10^-7}(757.88)(1.4)(1.6x10-³)]

k = 1875

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Dear Caroline,

Current through winding is 1.4 A

The turns per unit length is: 757.88

vacuum permeability: µo = 4πx10^-7 T-m/A

Hope this helps!

Good Luck!

Jacy

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