4.3 A ferromagnetic circuit has a magnetic core with infinitely high relative perme-ability. It has three legs, and air gaps of 2 mm and 1 mm are cut from sections A andC, respectively, as shown in Fig. 4.32. A coil is wound on the center leg B, and ithas 200 turns and a resistance of 2.5 . The magnetic core has a 5 x 5 cm uniformcross-sectional area. A DC voltage is applied to the coil.2 mmTABo→+1 mm.FIGURE 4.32 Magnetic circuit of Problem 4.3.a. Determine the voltage that will produce a flux density of 0.75 T in the right legC, which contains the 1-mm air gap.b. Find the magnetic flux in the other two legs of the core.

Answered: 4.3 A ferromagnetic circuit has a…

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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4.3 A ferromagnetic circuit has a magnetic core with infinitely high relative perme-
ability. It has three legs, and air gaps of 2 mm and 1 mm are cut from sections A and
C, respectively, as shown in Fig. 4.32. A coil is wound on the center leg B, and it
has 200 turns and a resistance of 2.5 . The magnetic core has a 5 x 5 cm uniform
cross-sectional area. A DC voltage is applied to the coil.
2 mm
T
A
B
o
→+
1 mm.
FIGURE 4.32 Magnetic circuit of Problem 4.3.
a. Determine the voltage that will produce a flux density of 0.75 T in the right leg
C, which contains the 1-mm air gap.
b. Find the magnetic flux in the other two legs of the core.

Expert Solution

Step 1

Relative magnetic permeability describes how easily magnetic flux can go through a magnetic substance in comparison to how easily it can move through air. Absolute permeability is the property of empty space. The relative permeability of a magnetic substance is defined as the ratio of its absolute permeability. The magnetic flux is the total number of magnetic field lines passing through a given closed surface. It calculates the area of the total magnetic field that traverses a surface.

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