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1.3 Consider the magnetic circuit of Fig. 1.27 with the dimensions of Problem 1.1. Assuming infinite core permeability, calculate (a) the number of turns required to achieve an inductance of 15 mH and (b) the inductor current which will result in a core flux density of 1.15 T.

1.3 Consider the magnetic circuit of Fig. 1.27 with the dimensions of Problem 1.1. Assuming infinite core permeability, calculate (a) the number of turns required to achieve an inductance of 15 mH and (b) the inductor current which will result in a core flux density of 1.15 T.

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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Please help with problem 1.3. I think the equation I need is L=Nø/i for part a. Not sure for part b. 

Problem 1.1-1.4,1.38 A magnetic circuit with a single air gap is shown in Fig. 1.27. The core dimensions are Cross-sectional Area Ac Mean core length le = 25 cm Gap length g = 2.4 mm N = 95 turns 3.5 cm? || || %3D Assume that the core is of infinite permeability (u → 0) and neglect the effects of fringing fields at the air gap and leakage flux. (a) Calculate the reluctance of the core Re and that of the gap Rg. For a current of i = 1.4 A, calculate (b) the total flux ø, (c) the flux linkages A of the coil, and (d) the coil inductance L. Core: mean length l area Ac, permeability u + o Coil: N turns Air gap Figure 1.27 Magnetic circuit for Problem 1.1. 1.2 Repeat Problem 1.1 for a finite core permeability of u = 2350 µo. 1.3 Consider the magnetic circuit of Fig. 1.27 with the dimensions of Problem 1.1. Assuming infinite core permeability, calculate (a) the number of turns required to achieve an inductance of 15 mH and (b) the inductor current which will result in a core flux density of 1.15 T. 1.4 Repeat Problem 1.3 for a core permeability of u :1700 µo.
Transcribed Image Text:Problem 1.1-1.4,1.38 A magnetic circuit with a single air gap is shown in Fig. 1.27. The core dimensions are Cross-sectional Area Ac Mean core length le = 25 cm Gap length g = 2.4 mm N = 95 turns 3.5 cm? || || %3D Assume that the core is of infinite permeability (u → 0) and neglect the effects of fringing fields at the air gap and leakage flux. (a) Calculate the reluctance of the core Re and that of the gap Rg. For a current of i = 1.4 A, calculate (b) the total flux ø, (c) the flux linkages A of the coil, and (d) the coil inductance L. Core: mean length l area Ac, permeability u + o Coil: N turns Air gap Figure 1.27 Magnetic circuit for Problem 1.1. 1.2 Repeat Problem 1.1 for a finite core permeability of u = 2350 µo. 1.3 Consider the magnetic circuit of Fig. 1.27 with the dimensions of Problem 1.1. Assuming infinite core permeability, calculate (a) the number of turns required to achieve an inductance of 15 mH and (b) the inductor current which will result in a core flux density of 1.15 T. 1.4 Repeat Problem 1.3 for a core permeability of u :1700 µo.
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