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(a) A magnetic circuit with the specified dimensions is as shown in Figure 1 on page 2. The center limb has a winding of 500 turns and there are air gaps in the left and right limbs as shown. The mean lengths of the various magnetic sections are l = 100 cm, l2 = 79.85 cm, l3 = 120 cm and lg = 1.5 mm. The center limb has a cross-sectional area of 32 cm? and each of the side limbs has a cross-sectional area of 16 cm?. The magnetization curve for the material is given by the following: 1. H (At/m) 100 220 260 300 | 320 B (T) 0.1 0.2 0.25 0.3 0.35 (i) Let p. be the flux in the center limb and pg be the flux in the air gaps. Using the magnetic equivalent circuit of Figure 1, determine the exciting current I required to produce a flux of 0.4 mWb in each air gap. You may neglect leakage and fringing in your calculations. The permeability of free space u, is 47 x 10-* H/m. (ii) Determine the energy stored in the air gaps and in the core, respectively. 12 13

(a) A magnetic circuit with the specified dimensions is as shown in Figure 1 on page 2. The center limb has a winding of 500 turns and there are air gaps in the left and right limbs as shown. The mean lengths of the various magnetic sections are l = 100 cm, l2 = 79.85 cm, l3 = 120 cm and lg = 1.5 mm. The center limb has a cross-sectional area of 32 cm? and each of the side limbs has a cross-sectional area of 16 cm?. The magnetization curve for the material is given by the following: 1. H (At/m) 100 220 260 300 | 320 B (T) 0.1 0.2 0.25 0.3 0.35 (i) Let p. be the flux in the center limb and pg be the flux in the air gaps. Using the magnetic equivalent circuit of Figure 1, determine the exciting current I required to produce a flux of 0.4 mWb in each air gap. You may neglect leakage and fringing in your calculations. The permeability of free space u, is 47 x 10-* H/m. (ii) Determine the energy stored in the air gaps and in the core, respectively. 12 13

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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(a) A magnetic circuit with the specified dimensions is as shown in Figure 1 on page 2. The center limb has a winding of 500 turns and there are air gaps in the left and right limbs as shown. The mean lengths of the various magnetic sections are l = 100 cm, l2 = 79.85 cm, l3 = 120 cm and lg = 1.5 mm. The center limb has a cross-sectional area of 32 cm? and each of the side limbs has a cross-sectional area of 16 cm². The magnetization curve for the material is given by the following: 1. %3D H (At/m) 100 220 260 300 320 B (T) 0.1 0.2 0.25 0.3 0.35 (i) Let p. be the flux in the center limb and p, be the flux in the air gaps. Using the magnetic equivalent circuit of Figur exciting current I required to produce a flux of 0.4 mWb in each air gap. You may neglect leakage and fringing in your calculations. The permeability of free space u, is 47 x 10- H/m. 1, determine the (ii) Determine the energy stored in the air gaps and in the core, respectively. 12 13 Figure 1
Transcribed Image Text:(a) A magnetic circuit with the specified dimensions is as shown in Figure 1 on page 2. The center limb has a winding of 500 turns and there are air gaps in the left and right limbs as shown. The mean lengths of the various magnetic sections are l = 100 cm, l2 = 79.85 cm, l3 = 120 cm and lg = 1.5 mm. The center limb has a cross-sectional area of 32 cm? and each of the side limbs has a cross-sectional area of 16 cm². The magnetization curve for the material is given by the following: 1. %3D H (At/m) 100 220 260 300 320 B (T) 0.1 0.2 0.25 0.3 0.35 (i) Let p. be the flux in the center limb and p, be the flux in the air gaps. Using the magnetic equivalent circuit of Figur exciting current I required to produce a flux of 0.4 mWb in each air gap. You may neglect leakage and fringing in your calculations. The permeability of free space u, is 47 x 10- H/m. 1, determine the (ii) Determine the energy stored in the air gaps and in the core, respectively. 12 13 Figure 1
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