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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. (ii) Determine the m.m.f. necessary to produce a flux of 0.3 mWb in the airgap. 1100 1.1 (iii) Calculate the current required to produce the m.m.f. in Q.1(a)(ii) if N is 100. (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. State two applications of mutual inductance.

(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. (ii) Determine the m.m.f. necessary to produce a flux of 0.3 mWb in the airgap. 1100 1.1 (iii) Calculate the current required to produce the m.m.f. in Q.1(a)(ii) if N is 100. (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. State two applications of mutual inductance.

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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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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