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
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
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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