An infinitely long cylindrical shell, with uniform charge density p, has an inner radius of X and an outer radius of Y. An infinitely long line consisting of uniform charge density L is located right at the axis of the cylindrical shell. A. With the help of a diagram of a Gaussian surface, find the equation for the electric feild strength in a region where r>X and r

An infinitely long cylindrical shell, with uniform charge density p, has an inner radius of X and an outer radius of Y. An infinitely long line consisting of uniform charge density L is located right at the axis of the cylindrical shell. A. With the help of a diagram of a Gaussian surface, find the equation for the electric feild strength in a region where r>X and r

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 75PQ: A solid sphere of radius R has a spherically symmetrical, nonuniform volume charge density given by...

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A solid sphere of radius R has a spherically symmetrical, nonuniform volume charge density given by (r) = A/r, where r is the radial distance from the center of the sphere in meters, and A is a constant such that the density has dimensions M/L3. a. Calculate the total charge in the sphere. b. Using the answer to part (a), write an expression for the magnitude of the electric field outside the spherethat is, for some distance r R. c. Find an expression for the magnitude of the electric field inside the sphere at position r R.
A sphere with radius R has a charge density given by = cr3. Use Gausss law to find an expression for the magnitude of the electric field at a distance r from the center of the sphere, where a. r R and b. r R.
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