Answered: A long coaxial cable has an inner…

A long coaxial cable has an inner conductor with radius a and outer conductor with radius b. If the inner conductor has p. = po/p, where po is a constant, determine E everywhere.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter4: Transmission Line Parameters

Section: Chapter Questions

Problem 4.12MCQ

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Concept explainers

Electric field

A physical field present around an electrically charged particle that exerts a force on all other charged particles is called an electric field. The charged particles present in the field either repel or attract. From electric charges or time-varying magnetic fields, the electric field originates. One of the manifestations of electromagnetic force which is one of the four fundamental forces present in nature are the electric fields and magnetic fields.

Question

The attached pictures below are the question and solution to ask. I don't know why E is 0 when r<a. Please explain this part.

A long coaxial cable has an inner conductor with radius a and outer conductor with
radius b. If the inner conductor has p. = po/p, where po is a constant, determine E
everywhere.

Using Gauss' law, when p<a,
=E
For a <p<b, Qenc = [ƒ D • dS =¤¸ ƒ¸ E • dS =ɛ¸Ê¸(2ñµL)
where L is the length of the cable. But
2π ι
Qonc = [p¸ds = ₁ ººpdødz = p¸2ñL
S
S
р
p=0 z=0
р2лL=εE (2лрL)
For p>b, Qenc = 0. Thus,
Po aps
a<p<b
E=&P
E = 0
0,
otherwise
E =
Po
& p

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