1. Figure shows a non-conducting hollow sphere with inner radius a and outer radius b. It has non-uniform positive volume charge density p P. d that is a function of radial distance r from its center p = ar where a is a constant with the units of C/m*. a. Find the electrical flux through the spherical Gaussian surface with radius r for a b) element of a sphere Express your answers in term of a, b, d,r, a, e, and n.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 50P: An insulating solid sphere of radius a has a uniform volume charge density and carries a total...
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1. Figure shows a non-conducting hollow sphere
with inner radius a and outer radius b. It has
non-uniform positive volume charge density p
P.
d
that is a function of radial distance r from its
center p = ar where a is a constant with the
units of C/m*.
a. Find the electrical flux through the spherical
Gaussian surface with radius r for a <r < b.
(Hint: Volume
dV = 4nr?dr)
b. Find electric field at point P which is d away from z,
the origin by using the Gauss' law. (d > b)
element
of a sphere
Express your answers in term of a, b, d,r, a, e,
and n.
Transcribed Image Text:1. Figure shows a non-conducting hollow sphere with inner radius a and outer radius b. It has non-uniform positive volume charge density p P. d that is a function of radial distance r from its center p = ar where a is a constant with the units of C/m*. a. Find the electrical flux through the spherical Gaussian surface with radius r for a <r < b. (Hint: Volume dV = 4nr?dr) b. Find electric field at point P which is d away from z, the origin by using the Gauss' law. (d > b) element of a sphere Express your answers in term of a, b, d,r, a, e, and n.
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