A very long conducting tube (hollow cylinder) has inner radius a and outer radiu

Question

A very long conducting tube (hollow cylinder) has inner radius a and outer radius b. It carries charge per unit length -a where a 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 +a.

Part G

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

Express your answer in terms of the given quantities and appropriate constants.

Part H

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

Express your answer in terms of the given quantities and appropriate constants.

I've been working on it but can't seem to get the right answer. Please show your work so I can also understand how you reached the answer. Thank you!

Explanation / Answer

(G) -a (because the field inside the tube is zero)

(H) 0 (because total charge is constant)

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