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Q1 The magnetic circuit of Figure Q1(a) consists of rings of magnetic material in a stack of height h. The rings have inner radius R; = 3.2 cm, outer radius R, = 9.2 cm, stack height, h = 2.0 cm, air gap, g = 0.05 cm and the number of turns, N = 200 turns. If the fringing in the air gap increases the effective cross-sectional area of the air gap by 5% and the relative permeability µ, = 4000, determine: (a) The mean core length l, and the core cross-sectional area A̟. (b) The reluctance of the core Rc and reluctance of the air gap Rg. (c) The current i that required to produce a flux density of B, = 1.25 T at an air gap.

Q1 The magnetic circuit of Figure Q1(a) consists of rings of magnetic material in a stack of height h. The rings have inner radius R; = 3.2 cm, outer radius R, = 9.2 cm, stack height, h = 2.0 cm, air gap, g = 0.05 cm and the number of turns, N = 200 turns. If the fringing in the air gap increases the effective cross-sectional area of the air gap by 5% and the relative permeability µ, = 4000, determine: (a) The mean core length l, and the core cross-sectional area A̟. (b) The reluctance of the core Rc and reluctance of the air gap Rg. (c) The current i that required to produce a flux density of B, = 1.25 T at an air gap.

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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Ro N turns Figure 1(a)
Transcribed Image Text:Ro N turns Figure 1(a)
Q1 The magnetic circuit of Figure Q1(a) consists of rings of magnetic material in a stack of height h. The rings have inner radius R; = 3.2 cm, outer radius R, = 9.2 cm, stack height, h = 2.0 cm, air gap, g = 0.05 cm and the number of turns, N = 200 turns. If the fringing in the air gap increases the effective cross-sectional area of the air gap by 5% and the relative permeability µ, = 4000, determine: (a) The mean core length l, and the core cross-sectional area A. (b) The reluctance of the core Rc and reluctance of the air gap Rg. (c) The current i that required to produce a flux density of Bg = 1.25 T at an air gap. (d) If the current i is double from Q1(iii), determine the flux density in the air gap.
Transcribed Image Text:Q1 The magnetic circuit of Figure Q1(a) consists of rings of magnetic material in a stack of height h. The rings have inner radius R; = 3.2 cm, outer radius R, = 9.2 cm, stack height, h = 2.0 cm, air gap, g = 0.05 cm and the number of turns, N = 200 turns. If the fringing in the air gap increases the effective cross-sectional area of the air gap by 5% and the relative permeability µ, = 4000, determine: (a) The mean core length l, and the core cross-sectional area A. (b) The reluctance of the core Rc and reluctance of the air gap Rg. (c) The current i that required to produce a flux density of Bg = 1.25 T at an air gap. (d) If the current i is double from Q1(iii), determine the flux density in the air gap.
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