2. A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center (Figure 2). The total charge on the shell is –3Q, and it is insulated from its surroundings (a) Derive expressions for the electric-field magnitude E in terms of the distance r from the center for the regions r < a, a

2. A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center (Figure 2). The total charge on the shell is –3Q, and it is insulated from its surroundings (a) Derive expressions for the electric-field magnitude E in terms of the distance r from the center for the regions r < a, a

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 73P: Two infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P19.73....

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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.

Question

2. A conducting spherical shell with inner radius a and outer radius b
has a positive point charge Q located at its center (Figure 2). The total
charge on the shell is -3Q, and it is insulated from its surroundings
(a) Derive expressions for the electric-field magnitude E in terms of
the distance r from the center for the regionsr<a, a <r<b, and
r< b.
What is the surface charge density
(b) on the inner surface of the conducting shell?
(c) on the outer surface of the conducting shell?
(d) Sketch the electric field lines and the location of all charges.
(e) Graph E as a function of r (graph by hand is fine).
-3Q
Figure 2

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