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 A = 310, and cylinder has net charge per unit length i = 8Ào. Use Gauss's law to answer these questions: What are the charges per unit length on the following surfaces hollow cylinder? (a) the inner surface (Use the following as necessary: 20.) Ainner = (b) the outer surface (Use the following as necessary: do.) Aouter = (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: Ao, d, and between wire and cylinder E = within the cylinder E = outside the cylinder E =

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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 a = 310, and the hollow
cylinder has net charge per unit length i = 810. 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.)
Ainner =
(b) the outer surface (Use the following as necessary: 1o.)
Aouter =
(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: A0, d, and €0.)
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 a = 310, and the hollow cylinder has net charge per unit length i = 810. 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.) Ainner = (b) the outer surface (Use the following as necessary: 1o.) Aouter = (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: A0, d, and €0.) between wire and cylinder E = within the cylinder E = outside the cylinder E =
Expert Solution
Step 1

(a)

Given:

The net charge per unit length on the wire is 3λ0.

The net charge per unit length on the hollow cylinder is 8λ0.

Introduction:

Gauss Law states that the total electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity. 

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