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 (w × w) and is made from a material with a relative permeability μr = 12000. The core is excited by two coils: Coil 1 (N₁ = 1000 turns, current ₁ = 1 A) and Coil 2 (№2 = 780 turns, current 12). The required magnetic flux density in the air-gap is B, = 2.2 T. I₁ = 1 A H₂ = 12000 N₁ = 1000 turns Air-gap width 5 = 2 mm (drawing not to scale) N₂ =780 turns h = 0.125 m 12 w = 0.012 m d = = 0.25 m Figure 1.1. (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 le of the magnetic core. (c) Calculate the reluctance Re (H-1) of the magnetic core. (d) Calculate the reluctance R, (H-1) of the air-gap. (Do not ignore fringing.) (f) Calculate the magnetic flux (Wb). (g) Calculate the magnetic field intensity H. (A/m) in the core. (h) Calculate the Coil 2 current 12. (Hint: drawing the equivalent magnetic circuit and labelling it with all of the known parameters may assist you with your answer.)

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 (w × w) and is made from a material with a relative permeability μr = 12000. The core is excited by two coils: Coil 1 (N₁ = 1000 turns, current ₁ = 1 A) and Coil 2 (№2 = 780 turns, current 12). The required magnetic flux density in the air-gap is B, = 2.2 T. I₁ = 1 A H₂ = 12000 N₁ = 1000 turns Air-gap width 5 = 2 mm (drawing not to scale) N₂ =780 turns h = 0.125 m 12 w = 0.012 m d = = 0.25 m Figure 1.1. (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 le of the magnetic core. (c) Calculate the reluctance Re (H-1) of the magnetic core. (d) Calculate the reluctance R, (H-1) of the air-gap. (Do not ignore fringing.) (f) Calculate the magnetic flux (Wb). (g) Calculate the magnetic field intensity H. (A/m) in the core. (h) Calculate the Coil 2 current 12. (Hint: drawing the equivalent magnetic circuit and labelling it with all of the known parameters may assist you with your answer.)

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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