This problem involves analyzing the magnetic field inside a coaxial cable. Suppose we have a coaxial cable which consists of a solid inner conductor of radius R1 surrounded by a very thin hallow outer conductor of radius R2. The two conductors carry equal current I, but in opposite directions. The current density is uniformly distributed over each conductor. For the purposes of this problem we will assume there is no dielectric in between the conductors. Using Ampere's Law find an expression for the magnetic field for points within the а. inner conductor (i.e. for points r < R1). Make sure to draw a picture of the physical situation and indicate where your Amperian loop is located.
This problem involves analyzing the magnetic field inside a coaxial cable. Suppose we have a coaxial cable which consists of a solid inner conductor of radius R1 surrounded by a very thin hallow outer conductor of radius R2. The two conductors carry equal current I, but in opposite directions. The current density is uniformly distributed over each conductor. For the purposes of this problem we will assume there is no dielectric in between the conductors. Using Ampere's Law find an expression for the magnetic field for points within the а. inner conductor (i.e. for points r < R1). Make sure to draw a picture of the physical situation and indicate where your Amperian loop is located.
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Transcribed Image Text:This problem involves analyzing the magnetic field inside a coaxial cable. Suppose we have a
coaxial cable which consists of a solid inner conductor of radius R, surrounded by a very thin
hallow outer conductor of radius R2. The two conductors carry equal current I, but in opposite
directions. The current density is uniformly distributed over each conductor.
For the purposes of this problem we will assume there is no dielectric in between the conductors.
a.
Using Ampere's Law find an expression for the magnetic field for points within the
inner conductor (i.e. for points r < R,). Make sure to draw a picture of the physical situation and
indicate where your Amperian loop is located.
b.
Using Ampere's Law find an expression for the magnetic field for points in the
space between the two conductors (i.e. for points R1 <r < R2). Make sure to draw a picture of
the physical situation and indicate where your Amperian loop is located.
Using Ampere's Law, find an expression for the magnetic field for points outside the
с.
outer conductor (i.e. for points r > R2). Make sure to draw a picture of the physical situation and
indicate where your Amperian loop is located.
Sketch a graph of B versus r from r = 0 to r = 2R2 assuming that R2 = 3R1.
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