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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