1. A magnetic circuit containing a ferromagnetic core with an air-gap is shown in Fig. 1.1. The ferromagnetic core has a square cross-section (wxw) and is made from a material with a relative permeability pr 12000. The core is excited by two coils: Coil 1 (terminals A and B, N₁ = 750 turns) and Coil 2 (terminals C and D, N₂ = 750 turns). = Ar=12000 A - N₁ = 750 turns Bo d=0.3 m Air-gap width 8=1 mm Figure 1.1. (drawing not to scale) C N₂ = 750 turns h = 0.15 m D 12 w=0.0125 m (a) In magnetic circuit analysis, what is meant by the term 'fringing', and how are the effects of fringing usually accounted for in the calculation process? (b) Calculate the mean flux path length l of the magnetic core. (c) Calculate the reluctance R. (H-¹) of the magnetic core. (d) Calculate the reluctance R, (H-1) of the air-gap. (Do not ignore fringing.) (e) Why is it frequently possible to ignore the reluctance of the core in magnetic circuits that contain an air-gap? (f) If the magnetic flux density in the air-gap is B, + (Wb)? = 2.2 T, what is the magnetic flux

1. A magnetic circuit containing a ferromagnetic core with an air-gap is shown in Fig. 1.1. The ferromagnetic core has a square cross-section (wxw) and is made from a material with a relative permeability pr 12000. The core is excited by two coils: Coil 1 (terminals A and B, N₁ = 750 turns) and Coil 2 (terminals C and D, N₂ = 750 turns). = Ar=12000 A - N₁ = 750 turns Bo d=0.3 m Air-gap width 8=1 mm Figure 1.1. (drawing not to scale) C N₂ = 750 turns h = 0.15 m D 12 w=0.0125 m (a) In magnetic circuit analysis, what is meant by the term 'fringing', and how are the effects of fringing usually accounted for in the calculation process? (b) Calculate the mean flux path length l of the magnetic core. (c) Calculate the reluctance R. (H-¹) of the magnetic core. (d) Calculate the reluctance R, (H-1) of the air-gap. (Do not ignore fringing.) (e) Why is it frequently possible to ignore the reluctance of the core in magnetic circuits that contain an air-gap? (f) If the magnetic flux density in the air-gap is B, + (Wb)? = 2.2 T, what is the magnetic flux

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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constant. 15 cm core depth = 15 cm Problem 2 A ferromagnetic core with a relative permeability of 2000 is shown in Figure. The dimensions are as shown in the diagram, and the depth of the core is 7 cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. If there are 300 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A, what is the flux in each of the left, center, and right legs of the core? What is the flux density in each air gap? |7 cm 30 cm 7 cm 7 cm 30 cm 7 cm 30 cm -0,05 cm 300 turns 0.07 cm 7 cm 1|Page
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