A very long, straight coaxial cable consists of a copper core of radius a surrounded by a cladding with inner radius b and outer radius c, presented in the figure.

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A very long, straight coaxial cable consists of a copper core of radius a surrounded by a
cladding with inner radius b and outer radius c, presented in the figure.
core
cladding
The region between core and cladding is in vacuum. A uniform electric current I flows out of the
plane in the core and in the cladding in the opposite direction. The current density in each
coaxial cable section is given by:
J(r) =
r≤a
παλ
I
π(c²-b²)
Then, calculate the magnitude of the magnetic field for the following regions:
1. a≤r<b
2. b≤r≤c
3. r>c
b≤r≤c
Transcribed Image Text:A very long, straight coaxial cable consists of a copper core of radius a surrounded by a cladding with inner radius b and outer radius c, presented in the figure. core cladding The region between core and cladding is in vacuum. A uniform electric current I flows out of the plane in the core and in the cladding in the opposite direction. The current density in each coaxial cable section is given by: J(r) = r≤a παλ I π(c²-b²) Then, calculate the magnitude of the magnetic field for the following regions: 1. a≤r<b 2. b≤r≤c 3. r>c b≤r≤c
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