a) Two magnetic materials with the relative permeability of µi and Hr2 respectivelyare physically in contact with each other. With the aid of suitable diagrams,derive the relationship of H and B fields at the boundary of these materials.(b) An infinite cylindrical structure constructed from two different magneticmaterials with the relative permeability of ur2 = 6 and ur3 = 2 for the outer (regionand inner (region 3) materials respectively. The structure lies on z-axis in freespace as shown in Figure Q.2(b). A magnetic field intensity, H, =(-2z+ 1)f + .202 (A/m) is applied from the outside of the structure and the surface currentdensity between region 2 and region 3 is J = -52 (A/m).(i)Calculate the magnetic field intensity, H, in region 2 and region 3 at o = 5IArad and z = 5 m.(ii)Calculate the magnetic field density, B, and the magnetization, M, in allregions at o = 5 rad and z = 5 m.(iii) If a 3 A infinite line current is introduced along the z-axis in +z-direction,determine the resultar magnetic field intensity, H, in region 3 at r = 0.2m, o = 5 rad ar d z = 5 m.UNIVErchASUS VivoBook10

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Two magnetic materials with the relative permeability of µrı and Hr2 réspéčtively are physically in contact with each other. With the aid of suitable diagrams, derive the relationship of H and B fields at the boundary of these materials.

Two magnetic materials with the relative permeability of µrı and Hr2 réspéčtively are physically in contact with each other. With the aid of suitable diagrams, derive the relationship of H and B fields at the boundary of these materials.

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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Explanation: The given statement is half true as steady current can generate the magnetic field but other half is false as the global charge conservation law is also obeyed by steady current. The steady current is the constant flow of charge in an electric wire. As moving charges always generates magnetic field in the neighborhood space. The global charge conservation law states that the total charge is conserved in an isolated system. Steady currents have to obey the law of charge conservation. Consider some region of space completely enclosed by the balloon-like surface S. The surface integral of J over all of S gives the rate at which charge is leaving the volume enclosed. Now if charge forever pours out of, or into, a fixed volume, the charge density inside must grow infinite, unless some compensating charge is continually being created there. But charge creation is just what never happens. Therefore, for a truly time- independent current distribution, the surface integral of J…
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