Question

In: Physics

A very long conducting tube (hollow cylinder) has inner radius a and outer radius b. It...

A very long conducting tube (hollow cylinder) has inner radius a and outer radius b. It carries charge per unit length +?, where ? is a positive constant with units of C/m. A line of charge lies along the axis of the tube. The line of charge has charge per unit length +?.

Part A

Calculate the electric field in terms of ? and the distance r from the axis of the tube for r<a.

Part B

Calculate the electric field in terms of ? and the distance r from the axis of the tube for a<r<b.

Express your answer in terms of the variables ?, r, and constant ?0.

Part C

Calculate the electric field in terms of ? and the distance r from the axis of the tube for r>b.

Part D

What is the charge per unit length on the inner surface of the tube?

Part E

What is the charge per unit length on the outer surface of the tube?

Solutions

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