A coaxial cable consists of a solid inner conductor of radius R, surrounded by a concentric outer conducting shell of radius R.. Insulating material fills the space between the conductors. The inner conductor carries a current i to the right, and the outer conductor carries the same current to the left down the outer surface of the cable, as shown in the figure. For the following questions, represent the permeability of free space as Ho- Using Ampère's law, derive an expression for the magnitude of the magnetic field B, inside the inner conductor at a distance r < R, from the center. Using Ampère's law, derive an expression for the magnitude of the magnetic field B, between the two conductors at a distance R₁
A coaxial cable consists of a solid inner conductor of radius R, surrounded by a concentric outer conducting shell of radius R.. Insulating material fills the space between the conductors. The inner conductor carries a current i to the right, and the outer conductor carries the same current to the left down the outer surface of the cable, as shown in the figure. For the following questions, represent the permeability of free space as Ho- Using Ampère's law, derive an expression for the magnitude of the magnetic field B, inside the inner conductor at a distance r < R, from the center. Using Ampère's law, derive an expression for the magnitude of the magnetic field B, between the two conductors at a distance R₁
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Transcribed Image Text:A coaxial cable consists of a solid inner conductor of radius
R, surrounded by a concentric outer conducting shell of
radius Ro. Insulating material fills the space between the
conductors. The inner conductor carries a current i to the
right, and the outer conductor carries the same current to the
left down the outer surface of the cable, as shown in
the figure.
For the following questions, represent the permeability of free
space as Ho-
Using Ampère's law, derive an expression for the magnitude
of the magnetic field B, inside the inner conductor at a
distance r < R, from the center.
Using Ampère's law, derive an expression for the magnitude
of the magnetic field B, between the two conductors at a
distance R₁ <r < R, from the center.
Using Ampère's law, derive an expression for the magnitude
of the magnetic field B, outside of the outer conductor at a
B₁ =
Incorrect
Bb=
Incorrect
B₁ =
Hor
2KR:²
Ho
2nr
IR
Question Source: Freedman College Physics 3e | Publi
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