A very long, very thin straight line has a uniform charge per unit length ofλ, where λ > 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 ρ, where ρ > 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: ε0.) 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 thecylindrical shell. The cylindrical shell has a uniform volume charge density p, where p > 0. (Both the line and the shell are longenough 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 orsymbol stated above along with the following as necessary: Eg.)(a) r bmagnitudeE =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. Forwhat value of p will there be zero electric field for r> b?

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Answered: A very long, very thin straight line…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A very long, very thin straight line has a uniform charge per unit length of

λ, where λ > 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 ρ, where ρ > 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: ε0.)

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<a
magnitude
E =
direction
---Select---
(b) a <r<b
magnitude
E =
direction
--Select---
(c) 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?

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