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Coaxial cable A long coaxial cable carries a uniform (positive) surface charge density o1 = 5 µC/m². On the inner cylinder radius R1 = 0.8 mm, and uniform surface charge density on the outer cylindrical shell (radius R2 = 1.4 mm). The surface charge is negative and of just the right magnitude so that the cable as a whole is neutral. a) Find the surface charge density ơ2 of the cylindrical shell of radius R2. b) Find an expression of electric field at r mm from the center where R1

Coaxial cable A long coaxial cable carries a uniform (positive) surface charge density o1 = 5 µC/m². On the inner cylinder radius R1 = 0.8 mm, and uniform surface charge density on the outer cylindrical shell (radius R2 = 1.4 mm). The surface charge is negative and of just the right magnitude so that the cable as a whole is neutral. a) Find the surface charge density ơ2 of the cylindrical shell of radius R2. b) Find an expression of electric field at r mm from the center where R1

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Coaxial cable A long coaxial cable carries a uniform (positive) surface charge density o1 = 5 µC/m². On the inner cylinder radius R1 = 0.8 mm, and uniform surface charge density on the outer cylindrical shell (radius R2 = 1.4 mm). The surface charge is negative and of just the right magnitude so that the cable as a whole is neutral. a) Find the surface charge density ơ2 of the cylindrical shell of radius R2. b) Find an expression of electric field at r mm from the center where R1 <r< R2. Assume the cylinder has a length L and L is very long so that electric field is uniform. Consider that the insulating material between the cylinders is air. (Hint : use Gauss's law and cylindrical Gaussian surface with radius r.) Magnitude of the electric field at r = 0.88 mm c) Calculate absolute value of the potential difference between the wire and the cylinder.
Transcribed Image Text:Coaxial cable A long coaxial cable carries a uniform (positive) surface charge density o1 = 5 µC/m². On the inner cylinder radius R1 = 0.8 mm, and uniform surface charge density on the outer cylindrical shell (radius R2 = 1.4 mm). The surface charge is negative and of just the right magnitude so that the cable as a whole is neutral. a) Find the surface charge density ơ2 of the cylindrical shell of radius R2. b) Find an expression of electric field at r mm from the center where R1 <r< R2. Assume the cylinder has a length L and L is very long so that electric field is uniform. Consider that the insulating material between the cylinders is air. (Hint : use Gauss's law and cylindrical Gaussian surface with radius r.) Magnitude of the electric field at r = 0.88 mm c) Calculate absolute value of the potential difference between the wire and the cylinder.
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