In Example 1.1, the relative permeability of the core material for the magnetic circuit of Fig. 1.2 is assumed to be 4, = 70,000 at a flux density of 1.0 T. a. For this value of µ, calculate the inductance of the winding. b. In a practical device, the core would be constructed from electrical steel such as M-5 electrical steel which is discussed in Section 1.3. This material is highly nonlinear and its relative permeability (defined for the purposes of this example as the ratio B/H) varies from a value of approximately u, = 72,300 at a flux density of B = 1.0 T to a value of on the order of 4, = 2900 as the flux density is raised to 1.8 T. (a) Calculate the inductance under the assumption that the relative permeability of the core steel is 72,300. (b) Calculate the inductance under the assumption that the relative permeability is equal to 2900.

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In Example 1.1, the relative permeability of the core material for the magnetic circuit of Fig. 1.2
is assumed to be 4, = 70,000 at a flux density of 1.0 T.
a. For this value of u, calculate the inductance of the winding.
b. In a practical device, the core would be constructed from electrical steel such as M-5
electrical steel which is discussed in Section 1.3. This material is highly nonlinear and its
relative permeability (defined for the purposes of this example as the ratio B/H) varies
from a value of approximately 4, = 72,300 at a flux density of B = 1.0 T to a value of on
the order of 4, = 2900 as the flux density is raised to 1.8 T. (a) Calculate the inductance
under the assumption that the relative permeability of the core steel is 72,300. (b) Calculate
the inductance under the assumption that the relative permeability is equal to 2900.
Magnetic -
Мean core
flux lines
length le
Air gap
length g
Air gap.
permeability Ho
Area Ag
Magnetic core
permeability u,
Area A
Winding.
N turns
Transcribed Image Text:In Example 1.1, the relative permeability of the core material for the magnetic circuit of Fig. 1.2 is assumed to be 4, = 70,000 at a flux density of 1.0 T. a. For this value of u, calculate the inductance of the winding. b. In a practical device, the core would be constructed from electrical steel such as M-5 electrical steel which is discussed in Section 1.3. This material is highly nonlinear and its relative permeability (defined for the purposes of this example as the ratio B/H) varies from a value of approximately 4, = 72,300 at a flux density of B = 1.0 T to a value of on the order of 4, = 2900 as the flux density is raised to 1.8 T. (a) Calculate the inductance under the assumption that the relative permeability of the core steel is 72,300. (b) Calculate the inductance under the assumption that the relative permeability is equal to 2900. Magnetic - Мean core flux lines length le Air gap length g Air gap. permeability Ho Area Ag Magnetic core permeability u, Area A Winding. N turns
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