i.Calculate the current that required to produce a flux density of 0.5 T in the centralleg of the core. ii.Calculate the current that required to produce a flux density of 1.0 T in the central leg of the core? Is it twice the current in Q1(b) (i). iii.Calculate the reluctances of the central and right legs of the core under the conditions in Q1(b) (i). iv.Calculate the reluctances of the central and right legs of the core under the conditions in Q1(b) (ii). v.Explain the conclusion that you can make about reluctances in real magnetic cores. (b)A core with three legs is shown in Figure Q1(b) (i). Its depth is 10 cm, and there are500 turns on the centre leg. The remaining dimensions are shown in the figure. Thecore is composed of a steel having the magnetization curve shown in Figure Q1(b)(ii). Answer the following questions about this core:8 cmN= 500 turns20 cm8 cm- 20 cm-20 cmDepth = 10cmFigure Q1(b) (i) 2.62.42.22.0E 1.81.61.41.21.00.80.60.40.21020 30 40 50100200 300 500100020005000Magnetizing intensity H, A turns/mFigure Q1(b) (ii)Flux density B (T)

Magnetic flux density The magnetic flux density is the number of magnetic field lines passing…

Answered: A core with three legs is shown in…

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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i.	Calculate the current that required to produce a flux density of 0.5 T in the central leg of the core.

ii.	Calculate the current that required to produce a flux density of 1.0 T in the central leg of the core? Is it twice the current in Q1(b) (i).

iii.	Calculate the reluctances of the central and right legs of the core under the conditions in Q1(b) (i).

iv.	Calculate the reluctances of the central and right legs of the core under the conditions in Q1(b) (ii).

v.	Explain the conclusion that you can make about reluctances in real magnetic cores.

(b)
A core with three legs is shown in Figure Q1(b) (i). Its depth is 10 cm, and there are
500 turns on the centre leg. The remaining dimensions are shown in the figure. The
core is composed of a steel having the magnetization curve shown in Figure Q1(b)
(ii). Answer the following questions about this core:
8 cm
N= 500 turns
20 cm
8 cm
- 20 cm
-20 cm
Depth = 10cm
Figure Q1(b) (i)

2.6
2.4
2.2
2.0
E 1.8
1.6
1.4
1.2
1.0
0.8
0.6
0.4
0.2
10
20 30 40 50
100
200 300 500
1000
2000
5000
Magnetizing intensity H, A turns/m
Figure Q1(b) (ii)
Flux density B (T)

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