Part A Consider a long coaxial cable made of two coaxial cylindrical conductors that carry equal currents I in opposite directions (see figure). The inner cylinder is a small solid conductor of radius a. The outer cylinder is a thin walled conductor of outer radius 6, electrically insulated from the inner conductor. Calculate the self inductance per unit length of this coaxial cable. (L is the inductance of part of the cable and l is the length of that part.) Due to what is known as the "skin effect", the current I flows down the (outer) surface of the inner conducting cylinder and back along the outer surface of the outer conducting cylinder. However, you may ignore the thickness of the outer cylinder. I Express your answer in terms of some or all the variables I, a, b, and Ho, the permeability of free space to
Part A Consider a long coaxial cable made of two coaxial cylindrical conductors that carry equal currents I in opposite directions (see figure). The inner cylinder is a small solid conductor of radius a. The outer cylinder is a thin walled conductor of outer radius 6, electrically insulated from the inner conductor. Calculate the self inductance per unit length of this coaxial cable. (L is the inductance of part of the cable and l is the length of that part.) Due to what is known as the "skin effect", the current I flows down the (outer) surface of the inner conducting cylinder and back along the outer surface of the outer conducting cylinder. However, you may ignore the thickness of the outer cylinder. I Express your answer in terms of some or all the variables I, a, b, and Ho, the permeability of free space to
Chapter14: Inductance
Section: Chapter Questions
Problem 82CP: A coaxial cable has an inner conductor of radius a, and outer thin cylindrical shell of radius b. A...
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Transcribed Image Text:Part A
Consider a long coaxial cable made of two coaxial cylindrical conductors that carry equal currents I in
opposite directions (see figure). The inner cylinder is a small solid conductor of radius a. The outer cylinder
is a thin walled conductor of outer radius 6, electrically insulated from the inner conductor. Calculate the self
inductance per unit length of this coaxial cable.
(L is the inductance of part of the cable and l is
the length of that part.) Due to what is known as
the "skin effect", the current I flows down the
(outer) surface of the inner conducting cylinder
and back along the outer surface of the outer
conducting cylinder. However, you may ignore the
thickness of the outer cylinder.
I
Express your answer in terms of some or all
the variables I, a, b, and Ho, the permeability
of free space
to
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