14. (II) A sphere of radius R has a uniform charge density p C/ m³ except for a spherical cavity of radius a as shown in Fig. 24.30. (a) Show that the field within the cavity is uniform. (Hint: The field at any point within the cavity is the sum of the field due to a sphere of radius R and a sphere of radius a with charge density -p C/m³.) (b) What is the magnitude and direction of the field within the cavity?

14. (II) A sphere of radius R has a uniform charge density p C/ m³ except for a spherical cavity of radius a as shown in Fig. 24.30. (a) Show that the field within the cavity is uniform. (Hint: The field at any point within the cavity is the sum of the field due to a sphere of radius R and a sphere of radius a with charge density -p C/m³.) (b) What is the magnitude and direction of the field within the cavity?

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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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.

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14. (II) A sphere of radius R has a uniform charge density p C/
m³ except for a spherical cavity of radius a as shown in Fig.
24.30. (a) Show that the field within the cavity is uniform.
(Hint: The field at any point within the cavity is the sum of
the field due to a sphere of radius R and a sphere of radius a
with charge density -p C/m³.) (b) What is the magnitude
and direction of the field within the cavity?
R
d
a
FIGURE 24.30 Problem 14.

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