Solution: A very long conducting tube (hollow cylinder) has
Chapter 22, Problem 22.4(choose chapter or problem)
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. (a) Calculate the electric field in terms of a and the distance r from the axis of the tube for (i) r 6 a; (ii) a 6 r 6 b; (iii) r 7 b. Show your results in a graph of E as a function of r. (b) What is the charge per unit length on (i) the inner surface of the tube and (ii) the outer surface of the tube?
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