A solid insulating sphere of radius a carries a net positive charge 3Q, uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b and outer radius c and it has a net charge of - Q. a) Construct a spherical Gaussian surface of radius r>c and find the net charge enclosed by this surface. b) What is the magnitude and direction of the electric field at r> c? c) Construct a spherical Gaussian surface of radius r, where b

A solid insulating sphere of radius a carries a net positive charge 3Q, uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b and outer radius c and it has a net charge of - Q. a) Construct a spherical Gaussian surface of radius r>c and find the net charge enclosed by this surface. b) What is the magnitude and direction of the electric field at r> c? c) Construct a spherical Gaussian surface of radius r, where b

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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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

A solid insulating sphere of radius a carries a net positive charge 3Q, uniformly distributed
throughout its volume. Concentric with this sphere is a conducting spherical shell with inner
radius b and outer radius c and it has a net charge of - Q.
a) Construct a spherical Gaussian surface of radius r>c and find the net charge enclosed by
this surface.
b) What is the magnitude and direction of the electric field at r> c?
c) Construct a spherical Gaussian surface of radius r, where b <r<c and find the net charge on
this surface. Find the electric field in the region b<r< c.
d) Construct a Gaussian surface of radius r, such that a <r< b. Find the net charge enclosed
and the magnitude and direction of the electric field at r.
e) Construct a Gaussian surface of radius r, such that r < a. Find the net charge enclosed and
the magnitude and direction of the electric field at r< a.
Determine the charge on the inner surface and on the outer surface of the conducting shell.
f)

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