A coaxial cable is formed by a long, straight wire and a hollow conducting cylinder with axes that coincide. The wire has charge per unit length i = 310, and the hollow cylinder has net charge pe unit length i = 8Ào. Use Gauss's law to answer these questions: What are the charges per unit length on the following surfaces of the hollow cylinder? (a) the inner surface (Use the following as necessary: do.) Åinner = (b) the outer surface (Use the following as necessary: Ào.) douter = (c) What is the electric field a radial distance d from the axis of the coaxial cable? (Enter the magnitudes. Use the following as necessary: do, d, and €o.) between wire and cylinder E = within the cylinder E = outside the cylinder E =

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Chapter1: Units, Trigonometry. And Vectors
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A coaxial cable is formed by a long, straight wire and a hollow conducting cylinder with axes that coincide. The wire has charge per unit length i = 310, and the hollow cylinder has net charge per
unit length i = 840. Use Gauss's law to answer these questions: What are the charges per unit length on the following surfaces of the hollow cylinder?
(a) the inner surface (Use the following as necessary: 10.)
dinner =
(b) the outer surface (Use the following as necessary: do.)
douter =
(c) What is the electric field a radial distance d from the axis of the coaxial cable? (Enter the magnitudes. Use the following as necessary: do, d, and e0.)
between wire and cylinder
E =
within the cylinder
E =
outside the cylinder
E =
Transcribed Image Text:A coaxial cable is formed by a long, straight wire and a hollow conducting cylinder with axes that coincide. The wire has charge per unit length i = 310, and the hollow cylinder has net charge per unit length i = 840. Use Gauss's law to answer these questions: What are the charges per unit length on the following surfaces of the hollow cylinder? (a) the inner surface (Use the following as necessary: 10.) dinner = (b) the outer surface (Use the following as necessary: do.) douter = (c) What is the electric field a radial distance d from the axis of the coaxial cable? (Enter the magnitudes. Use the following as necessary: do, d, and e0.) between wire and cylinder E = within the cylinder E = outside the cylinder E =
Expert Solution
Step 1:

Given:

Charge per unit length of wire, λ=3λo.

Net charge per unit length of hollow cylinder, λ=8λo.

 

To Calculate:

(a) Charge per unit length on the inner surface of  the hollow cylinder.

(b) Charge per unit length on the outer surface of  the hollow cylinder.

(c) Electric field at a radial distance of d from the axis of the coaxial cable.

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