Question 14 and 15

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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Question 14 and 15

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Step 1
  1. Consider a uniformly charged sphere of radius R and total charge Q.

The volume charge density of this sphere will be,

Physics homework question answer, step 1, image 1

To calculate the electric field we draw a gaussian surface of radius r < R, as shown in the figure with dotted lines.

Physics homework question answer, step 1, image 2

The electric field from a shell if given by,

Physics homework question answer, step 1, image 3

Now, Qenclosed when r < R will be,

Physics homework question answer, step 1, image 4

Here, ρ denotes the volume charge density and dv denotes the volume of the enclosed surface.

As ρ is constant,

Physics homework question answer, step 1, image 5

Substituting the known values in equation (i),

Physics homework question answer, step 1, image 6

Hence, option b is the correct answer.

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