   Chapter 15, Problem 14CQ

Chapter
Section
Textbook Problem

A spherical surface surrounds a point charge q. Describe what happens to the total flux through the surface if (a) the charge is tripled, (b) the volume of the sphere is doubled, (c) the surface is changed to a cube, (d) the charge is moved to another location inside the surface, and (e) the charge is moved outside the surface.

(a)

To determine
The flux through the surface when the charge is tripled.

Explanation

From Gauss’s Law,

ϕE=qinsideε0

• qinside is the charge inside the spherical surface

(b)

To determine
The flux through the surface when the volume of the sphere is doubled.

(c)

To determine
The flux through the surface when the surface is changed to cube.

(d)

To determine
The flux through the surface when the charge is moved to another location inside the surface.

(e)

To determine
The flux through the surface when the charge is moved outside the surface.

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