Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
$\bullet$$\bullet$ A total charge of magnitude $Q$ is distributed uniformlywithin a thick spherical shell of inner radius $a$ and outer radiusb. (a) Use Gauss's law to find the electric field within the cavity$(r \leq a)$ . (b) Use Gauss's law to prove that the electric fieldoutside the shell $(r \geq b)$ is exactly the same as if all the chargewere concentrated as a point charge $Q$ at the center of thesphere. (c) Explain why the result in part (a) for a thick shell isthe same as that found in Example 17.10 for a thin shell.A thick shell can be viewed as infinitely many thin shells.)
Get the answer to your homework problem.
Try Numerade free for 7 days
Input your name and email to request the answer
a) $E=0$b) from 1 and $2,$ we can conclude that the electric field outside the shell is exactly the same as if all the charge on the shell were concentrated at the center of the shell.c) the thick shell is infinitely many thin shell. Every thin shell has zero enclosed charge in side it, so the net enclosed charge in a thick shell is zero. As a result, the electric field at any point inside the shell is zero
Physics 102 Electricity and Magnetism
Electric Charge and Electric Field
Rutgers, The State University of New Jersey
In physics, potential energy is the energy possessed by a body or a system due to its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units (SI) is the joule (J). One joule is the energy expended (or work done) in applying a force of one newton through a distance of one metre (1 newton metre). The term potential energy was introduced by the 19th century Scottish engineer and physicist William Rankine, although it has links to Greek philosopher Aristotle's concepts of potentiality. Potential energy is associated with forces that act on a body in a way that the work done by these forces on the body depends only on the initial and final positions of the body, and not on the specific path between them. These forces, that are called potential forces, can be represented at every point in space by vectors expressed as gradients of a scalar function called potential. Potential energy is the energy of an object. It is the energy by virtue of a position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force that works against the force field of the potential. This work is stored in the field, which is said to be stored as potential energy.
In physics, electric flux is a measure of the quantity of electric charge passing through a surface. It is used in the study of electromagnetic radiation. The SI unit of electric flux is the weber (symbol: Wb).
The electric flux through a surface is calculated by dividing the electric charge passing through the surface by the area of the surface, and multiplying by the permittivity of free space (the permittivity of vacuum is used in the case of a vacuum).
The electric flux through a closed surface is zero, by Gauss's law.
A total charge of magnitud…
A thick spherical shell th…
A spherical shell of radiu…
A sphere of radius $R$ has…
A thin-walled metal spheri…
A small conducting spheric…
A conducting spherical she…
A spherical shell has inne…
Concentric conducting sphe…
A thick spherical shell (i…
A spherical conducting she…
A total charge $Q$ is dist…
No transcript available
View More Answers From This Book
Find Another Textbook
'Thermonasty: Movement of part of a plant is associated with change in …
"Select two statements that BEST describe Kevin's science experime…
'We are given a convex lens of focal length 20 cm. Draw ray diagrams to…
'1. Which picture shows that the object is at rest? 2. Which picture sh…
'study A Look and picture below Figure 17 A block of wood lying on a ta…
'a ball rolls down a slope as shown in figure 1.1Calculate the average …
'In the figure shown the magnitude of change in momentum of the block w…
'what is combustional substance'