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(a) A certain magnetic circuit consisting of three parts, A, B and C in series. Part A has a length of 200 mm and a cross-sectional area of 400 mm². Part B has a length of 300 mm and a cross-sectional area of 300 mm². Part C is an airgap 1 mm in length and of cross-sectional area 350 mm². The magnetic characteristic for parts A and B is given by: H (A/m) B (T) (b) 400 0.7 500 0.8 630 0.9 800 1.0 Neglecting magnetic leakage and fringing. (i) Sketch the magnetic equivalent circuit for the system. (i) (ii) Determine the m.m.f. necessary to produce a flux of 0.3 mWb in the airgap. (iii) Calculate the current required to produce the m.m.f. in Q.1(a)(ii) if N is 100. 1100 1.1 (iv) Given that the maximum flux density, Bmax for the material is 1.15 T. Estimate the flux density of magnetic material in part A and B when the current in Q.1(a)(iii) is tripled. (v) Suggest a method to avoid condition in Q.1(a)(iv). A ferromagnetic ring of cross-sectional 700 mm² and of mean radius 150 mm has two windings connected in series, one of 500 turns and another is 1000 turns. If the relative permeability is 1000, Calculate the self-inductance of each coil and the mutual inductance, assuming that there is no flux leakage.

(a) A certain magnetic circuit consisting of three parts, A, B and C in series. Part A has a length of 200 mm and a cross-sectional area of 400 mm². Part B has a length of 300 mm and a cross-sectional area of 300 mm². Part C is an airgap 1 mm in length and of cross-sectional area 350 mm². The magnetic characteristic for parts A and B is given by: H (A/m) B (T) (b) 400 0.7 500 0.8 630 0.9 800 1.0 Neglecting magnetic leakage and fringing. (i) Sketch the magnetic equivalent circuit for the system. (i) (ii) Determine the m.m.f. necessary to produce a flux of 0.3 mWb in the airgap. (iii) Calculate the current required to produce the m.m.f. in Q.1(a)(ii) if N is 100. 1100 1.1 (iv) Given that the maximum flux density, Bmax for the material is 1.15 T. Estimate the flux density of magnetic material in part A and B when the current in Q.1(a)(iii) is tripled. (v) Suggest a method to avoid condition in Q.1(a)(iv). A ferromagnetic ring of cross-sectional 700 mm² and of mean radius 150 mm has two windings connected in series, one of 500 turns and another is 1000 turns. If the relative permeability is 1000, Calculate the self-inductance of each coil and the mutual inductance, assuming that there is no flux leakage.

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
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Q.1 (a) A certain magnetic circuit consisting of three parts, A, B and C in series. Part A has a length of 200 mm and a cross-sectional area of 400 mm². Part B has a length of 300 mm and a cross-sectional area of 300 mm². Part C is an airgap 1 mm in length and of cross-sectional area 350 mm². The magnetic characteristic for parts A and B is given by: H (A/m) B (T) (b) (ii) 400 0.7 Neglecting magnetic leakage and fringing. (i) 500 0.8 630 0.9 (i) 800 1.0 Sketch the magnetic equivalent circuit for the system. Determine the m.m.f. necessary to produce a flux of 0.3 mWb in the airgap. (iii) Calculate the current required to produce the m.m.f. in Q.1(a)(ii) if N is 100. 1100 1.1 (iv) Given that the maximum flux density, Bmax for the material is 1.15 T. Estimate the flux density of magnetic material in part A and B when the current in Q.1(a)(iii) is tripled. (v) Suggest a method to avoid condition in Q.1(a)(iv). A ferromagnetic ring of cross-sectional 700 mm² and of mean radius 150 mm has two windings connected in series, one of 500 turns and another is 1000 turns. If the relative permeability is 1000, Calculate the self-inductance of each coil and the mutual inductance, assuming that there is no flux leakage. (ii) State two applications of mutual inductance. ELHAH ERA IBA CA
Transcribed Image Text:Q.1 (a) A certain magnetic circuit consisting of three parts, A, B and C in series. Part A has a length of 200 mm and a cross-sectional area of 400 mm². Part B has a length of 300 mm and a cross-sectional area of 300 mm². Part C is an airgap 1 mm in length and of cross-sectional area 350 mm². The magnetic characteristic for parts A and B is given by: H (A/m) B (T) (b) (ii) 400 0.7 Neglecting magnetic leakage and fringing. (i) 500 0.8 630 0.9 (i) 800 1.0 Sketch the magnetic equivalent circuit for the system. Determine the m.m.f. necessary to produce a flux of 0.3 mWb in the airgap. (iii) Calculate the current required to produce the m.m.f. in Q.1(a)(ii) if N is 100. 1100 1.1 (iv) Given that the maximum flux density, Bmax for the material is 1.15 T. Estimate the flux density of magnetic material in part A and B when the current in Q.1(a)(iii) is tripled. (v) Suggest a method to avoid condition in Q.1(a)(iv). A ferromagnetic ring of cross-sectional 700 mm² and of mean radius 150 mm has two windings connected in series, one of 500 turns and another is 1000 turns. If the relative permeability is 1000, Calculate the self-inductance of each coil and the mutual inductance, assuming that there is no flux leakage. (ii) State two applications of mutual inductance. ELHAH ERA IBA CA
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