A very long, very thin straight line has a uniform charge per unit length of 1, where a > 0. It is surrounded by a long, cylindrical, insulating rubber shell, which has an inner radius a and outer radius b. The line lies along the central axis of the cylindrical shell. The cylindrical shell has a uniform volume charge density p, where p > 0. (Both the line and the shell are long enough to approximate them as infinitely long.) Find the electric field in the following regions by choosing a gaussian cylinder of radius r and length L. (Use any variable or symbol stated above along with the following as necessary: Eg.) (a) r b magnitude E = direction ---Select--- (d) What If? Suppose we have the same situation as described above, where again 2 > 0, but now p can be any value. For what value of p will there be zero electric field for r> b?

A very long, very thin straight line has a uniform charge per unit length of 1, where a > 0. It is surrounded by a long, cylindrical, insulating rubber shell, which has an inner radius a and outer radius b. The line lies along the central axis of the cylindrical shell. The cylindrical shell has a uniform volume charge density p, where p > 0. (Both the line and the shell are long enough to approximate them as infinitely long.) Find the electric field in the following regions by choosing a gaussian cylinder of radius r and length L. (Use any variable or symbol stated above along with the following as necessary: Eg.) (a) r b magnitude E = direction ---Select--- (d) What If? Suppose we have the same situation as described above, where again 2 > 0, but now p can be any value. For what value of p will there be zero electric field for r> b?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 41P: Recall that in the example of a uniform charged sphere, p0=Q/(43R3). Rewrite the answers in terms of...

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