A coaxial cable consists of a straight cylindrical wire of radius a carrying current I(t) : I,cos(wt)z (where the z-axis is defined by the wire) and a coaxial cylinder of radius b which carries the opposite current %3D a) Calculate the magnetic field in the region a

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Chapter12: Sources Of Magnetic Fields
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Problem 45P: A long, straight wire of radius R caries a current I that is distributed uniformly over the...
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A coaxial cable consists of a straight cylindrical wire of radius a carrying current I(t)
Iocos(wt)z (where the z-axis is defined by the wire) and a coaxial cylinder of radius b which
carries the opposite current
a) Calculate the magnetic field in the region a <r <b. Make sure you indicate the direction in
which the magnetic field is pointing.
b) Calculate the induced electric field due to the oscillating B filed in the same region. Make
you indicate the direction in which the electric field is pointing.
c) Calculate the displacement current density, Ja, and the total displacement current la in a
length e.
Transcribed Image Text:A coaxial cable consists of a straight cylindrical wire of radius a carrying current I(t) Iocos(wt)z (where the z-axis is defined by the wire) and a coaxial cylinder of radius b which carries the opposite current a) Calculate the magnetic field in the region a <r <b. Make sure you indicate the direction in which the magnetic field is pointing. b) Calculate the induced electric field due to the oscillating B filed in the same region. Make you indicate the direction in which the electric field is pointing. c) Calculate the displacement current density, Ja, and the total displacement current la in a length e.
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