2. The coaxial cable shown below is constructed from an inner solid cylindrical conductor of radius a and a conducting cylindrical shell of radius b. The two conductors are held at potential difference V. A current I flows to the right in the inner conductor, and an equal and opposite current flows in the conducting shell. Use a coordinate system with î in the radial direction, ô in the azimuthal direction, and 2 along the axis of the cylinders, pointing to the right. a. What is the Poynting vector for this configuration for a

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2. The coaxial cable shown below is constructed from an inner solid cylindrical conductor of
radius a and a conducting cylindrical shell of radius b. The two conductors are held at
potential difference V. A current I flows to the right in the inner conductor, and an equal and
opposite current flows in the conducting shell. Use a coordinate system with ? in the radial
direction, 6 in the azimuthal direction, and 2 along the axis of the cylinders, pointing to the
right.
a. What is the Poynting vector for this configuration for a<r<b?
b. Using the expression for the Poynting vector found in part (a), calculate the power
(energy per unit time) transported down the coaxial cable.
Transcribed Image Text:2. The coaxial cable shown below is constructed from an inner solid cylindrical conductor of radius a and a conducting cylindrical shell of radius b. The two conductors are held at potential difference V. A current I flows to the right in the inner conductor, and an equal and opposite current flows in the conducting shell. Use a coordinate system with ? in the radial direction, 6 in the azimuthal direction, and 2 along the axis of the cylinders, pointing to the right. a. What is the Poynting vector for this configuration for a<r<b? b. Using the expression for the Poynting vector found in part (a), calculate the power (energy per unit time) transported down the coaxial cable.
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