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Q-4) There exists an infinitely long coaxial structure shown in the figure below. The inner conductor has a radius a and the outer conducting shell has a radius b. The thickness of the outer conductor is ignored as it is very small. Between two conductors, there is a magnetic material with permeability μ(r) = μ₁ ln r Assume that the current I is distributed uniformly over the cross-section of the inner conductor whereas it flows on the surface of the outer conductor. Note that, also in the outer conductor I current is flowing. a) Find the magnetic field intensity vector and the magnetic flux density vector B everywhere (r b).

Q-4) There exists an infinitely long coaxial structure shown in the figure below. The inner conductor has a radius a and the outer conducting shell has a radius b. The thickness of the outer conductor is ignored as it is very small. Between two conductors, there is a magnetic material with permeability μ(r) = μ₁ ln r Assume that the current I is distributed uniformly over the cross-section of the inner conductor whereas it flows on the surface of the outer conductor. Note that, also in the outer conductor I current is flowing. a) Find the magnetic field intensity vector and the magnetic flux density vector B everywhere (r b).

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-4) There exists an infinitely long coaxial structure shown in the figure below. The inner conductor has a radius a and the outer conducting shell has a radius b. The thickness of the outer conductor is ignored as it is very small. Between two conductors, there is a magnetic material with permeability μ(r) = μ© In r Assume that the current I is distributed uniformly over the cross-section of the inner conductor whereas it flows on the surface of the outer conductor. Note that, also in the outer conductor I current is flowing. a) Find the magnetic field intensity vector and the magnetic flux density vector B everywhere (r <a, a <r < br > b). b) Find the self-inductance per unit length of the coaxial structure. I μ(r) H₂ b a Cel: μ(r) I x x 8 Figure 4. The geometry of the Q-4.
Transcribed Image Text:Q-4) There exists an infinitely long coaxial structure shown in the figure below. The inner conductor has a radius a and the outer conducting shell has a radius b. The thickness of the outer conductor is ignored as it is very small. Between two conductors, there is a magnetic material with permeability μ(r) = μ© In r Assume that the current I is distributed uniformly over the cross-section of the inner conductor whereas it flows on the surface of the outer conductor. Note that, also in the outer conductor I current is flowing. a) Find the magnetic field intensity vector and the magnetic flux density vector B everywhere (r <a, a <r < br > b). b) Find the self-inductance per unit length of the coaxial structure. I μ(r) H₂ b a Cel: μ(r) I x x 8 Figure 4. The geometry of the Q-4.
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