Johann Carl Friedrich Gauss (; German: Gauß [kaʁl ˈfʁiːdʁɪç ˈɡaʊs] (listen); Latin: Carolus Fridericus Gauss; 30 April 1777 – 23 February 1855) was a German mathematician and physicist who made significant contributions to many fields in mathematics and science. Sometimes referred to as the Princeps mathematicorum (Latin for '"the foremost of mathematicians"') and "the greatest mathematician since antiquity", Gauss had an exceptional influence in many fields of mathematics and science, and is ranked among history's most influential mathematicians.
The Parallel Plate Capacitor and Gauss Law?
Hi
I really do not understand these two things. I read like every single book on this things but still am a lot confused about these two concepts. Can anyone explain me in the most simplest terms of all? I would really appreciate that. What is this...
I have two questions
Regarding tension:
Two balls are suspended as a pendulum from a shared point. The balls are held at angle theta (due to electric force). I understand that I am supposed to add the forces of the tension, the electric force and the force due to gravity, and that they...
Gauss' law---thin spherical shell
INTRODUCTION- hello, actually i had been doing some problems on gauss' law from H.C.Verma "concepts of physics". I'm continuously having problem with "wht's the field on the surface of a thin spherical, conducting shell?
THE EXACT PROBLEM IS- "Consider the...
How would you solve this:
A small charge of 443 C is at the center of a 7.97 cm radius ball. How much flux passes through the ball's surface?
The answer is 4.922 E-8 N.m2/C
I don't know how to get this answer. Please explain. Thank you!
So question :
We have cored cilynder. Inner radius 10 cm, outer radius 20 cm. In the walls
of the cilynder uniformed charge 2nK/m^3. Find electric field magnitude at the points from axes 8cm 18cm 28cm.
Sorry for my english.
For this problem I am giving the following:
An infinite slab of charge parallel to the yz plane whose density is given by:
p(x)= t, -b<x<b;
0, |x|>b;
Where t and b are constants.
And I am to find the electric field.
I am pretty confused on how to do this problem. I know that the...
is gauss law (i.e surface integeral of E.ds is equal to charge enclosed upon epsilon not ) valid for charges in motion or is it just valid for electrostatic conditions ?
I got a cube withe edge length 1.4m and has a uniform electric field, i have to find the electric flux throught the right face for the following fields.
A) 2.00i
B)-3.00j
answer for a) is 0, i think because its uniform and all the inward and outward contribuitions cancel but then why...
A conducting spherical shell of ineer radius a and outer radius b carries a net charge Q. A point charge q is placed at the center of this shell. Determine the surface charge densit on (a) the ineer surface of the shell and (b) the outer surface of the shell.
I'm not sure of my reasoning...
A charge of 2pC is uniformly distributed throughout the volume between concentric spherical surfaces having radii of 1.3 cm and 3.3 cm. What is the magnitude of the electric field 1.8 cm from the center of these surfaces? Answer in units of N/C.
I used the equation \Phi = E*4\pi r^2 and...
It's just something I am not sure and I can answer my question in another thread:
In the Gauss Equation
\partial^2_{i,j}(\vec{r})
=\sum_{l=1}^m\Gamma^l_{i,j}\partial_l(\vec{r})+L_{i,j}\vec{n}
L_{i,j}=-\partial_i(\vec{n}) \partial_j(\vec{r}) has got something to do with the normal \vec{n}...
Problem: An infinite plane slab, of thickness 2d carries a uniform charge density rho. Find the electric field as a function of y, where y=0 at the center. Plot E versus y calling E positive when it point in the +y direction and negative when it points in the -y direction.
Okay, so I worked...
Hello
I have been tasked with proving the following:
cos(\frac{2 \pi}{5}) = \frac{\sqrt{5} + 1}{4}
Any hints/idears on how I go about doing that?
Sincerely Yours
Fred
I am trying to answer all the odd problems at the end of the chapter and I can't seem to get one of them.
A long, current-carrying wire is oriented vertically; next to it is drawn a square whoe area lies in the same plane as the wire. Using the distances indicated, find the magnetic flux...
Hello, :)
The below link has great examples and simple explanations of
4D space-time light cone diagrams and how they are used in Special Relativity.
http://www.phy.syr.edu/courses/modules/LIGHTCONE/LightClock/default.html
The university site above was very helpful for visualising how...
A long, nonconducting, solid cylinder of radius 4.5 cm has a nonuniform volume charge density that is a function of the radial distance r from the axis of the cylinder, as given by \rho = A r^2, with A = 3.0 \mbox{ }\mu C/\mbox{m}^5.
(a) What is the magnitude of the electric field at a...
I don't really understand Gauss' law - any help with this question would be appreciated?
Coaxial cables are made of a copper wire in the center and a concentric cylindrical shell of copper outside, with insulating material in between and outside the shell. The charge per unit length of the...
need "gauss like" PDF with skewness
I am looking for a Probability Density Function that has the following properties:
is defined on R like the gaussian
has a non null (and non constant) skewness that is controlled by a parameter
degenerates towards the gaussian
At the moment I am...
"scientists can produce magnets as strong as 40,000 Gauss"
now when Ill come to calculate the force between two of these magnets,
I will have to know their "strength". according to the 40K Gauss, what will be this strength?
In other words, what does 40,000Gauss tell me about its strength...
I wonder if i could compute resultant E-fields using Gauss' law and finding the field from the flux. I have a few difficulties, the first is of course, finding the E-field from the flux and the second is regarding the closed surface. how should i choose what surface to use, especially if the...
I'm trying to derive the vector field \vec{E} = \frac{1}{4\pi\epsilon_0}\frac{q\vec{r}}{r^3} surrounding a point charge, starting with \oint_S \vec{E} \cdot \mathrm{d}\vec{A}. My uneducated guess would be to get the magnitude of the electric field from gauss' law, then integrate to get the...
I'm looking at how you find E in a Nonconducting sheet. It all makes sense until the last part. Visualize a thin, infinite, nonconducting heet with a uniform positive surface charge density \delta . A sheet of thin plastic wrap, uniformily charged on one side, can serve as a simple model...
undefinedundefinedundefinedSuppose there is a charged HOLLOW CONDUCTOR in an Electric-field-free region. Since there is no electric field acting on that conductor, thus all the electric charges will distribute themselves on the surface, as predicted by Gauss’ law.
Gauss’ law can be interpreted...
Hi, could someone offer some advice on the following problem:
=====
Q. Using Gauss' law, obtain expressions for the electric field and potential in the space between two thin, hollow, concentric conducting cylinders, of radii a and b, with the outer cylinder connected to earth
=====
I...
I have to find the electric field everywhere using Gauss’ law in differential form. Charge density is \rho = \rho_{0}r^{3} for a<r<b and 0 otherwise in spherical symmetry and then in cylindrical coordinates
\nabla \cdot D=\rho
I have look for D and then just get E = D/epsilon. D is where...
All the articles and books I have read conflict with one another in safe levels of Gauss. I understand the Human limit is 2000 Gauss. Does anyone know what levels of Gauss are acceptable for everyday exposure? As I said, all reports I have read conflict one another.
Hi guys, I want to solve this integral without using gauss theorem to convert from double to triple integral,
my problem here is to find a general way for setting the differential surface part (ds) from the integral
if \vec{F} was a vector field defined as:
\vec{F} = x^3\vec{i} +...
Primes in ring of Gauss integers - help!
I'm having a very difficult time solving this question, please help!
So I'm dealing with the ring R=\field{Z}[\zeta] where
\zeta=\frac{1}{2}(-1+\sqrt{-3})
is a cube root of 1.
Then the question is:
Show the polynomial x^2+x+1 has a root in F_p if...
Hi, I have this problem in my Physics Book:
The electric field everywhere on the surface of a hollow sphere of radius 0.75m is found to be 890 N/C and points radially toward the center of the sphere,
(a) What is the net charge within the sphere's surface?
(b) What can you tell about the...
OK I just want to start from the beginning and try to get the first part of this problem so I can get what is going on in my head and understand it. Here's the problem:
A point charge q is imbedded in a solid material of dielectric constant K.
A) Use Gauss's law as stated in equation...
This problem is also giving me a lots and lots of trouble, and I don't even know where to begin.
A point charge q is imbedded in a solid material of dielectric constant K.
A) Use Gauss's law as stated in equation \oint{K \vec{E} \cdot \vec{A}} \;=\; \frac{Q_{free}}{\epsilon_{0}} to find...
I'm stuck on two problems. I hope someone can help me. Here they are...
1) For 1a I thought Q would be Q=\rho \pi L (b^2-a^2) but since \rho=\frac{k}{r} so Q=\frac {k \pi L (b^2-a^2)}{r}. After being stumped on 1a I'm not sure how to go about 1b.
2) I've derived about 4 equations for this...
Positive charge is uniformly distributed throughout a non conducting cylindrical shell of inner radius R and outer radius 2R. What radial depth beneath outer surface of the charge distribution is the elctric field strength equal to one half the surface value?
errr
e0 = epsilon 0 the...
Ok I'm realllly unsure about this!
If a spherical cavity of radius 3.66cm in a piece of metal (kind of cube, but not a perfect cube) has a charge of +Q at it's centre and there is a point P1 located half way between the spherical cavity and it's surface and a point P2 located in the metal...
This is SUPPOSED to be easy but i seemingly find find it hard...
A poin charge of +Q is places a distance d/2 above the centre of a square surface of side d. Find the electric flux through the square.
so i know that
E dA = EA (because the flux through the square is all at 90 degree...
Hey there,
I've built a gauss rifle at school with 10 graphite magnets (diameter 25mm) and balls with the same diameter. The magnets are placed as close to each other as they can get. Unfortunately the last ball does not leave the rifle with a great speed (2 km/h :cry: ). So I changed it for...
Hello, Question again.
If we have a conductor, then according to Gauss, all the charged particles will migrate to the surface where they are furthest away from each other. This seems to make logical sense. But what if I have a charged sphere and now every particle on the surface of the...
I need some guidance if anyone can help me!
1. A small cube of volume 8.0 cm^3 is .30 cm from a metal sphere that has charge 2.00uC. If the cube is empty, what is the total flux through it?
I tried finding the flux of the sphere as if it was a point charge but I don't know where to go...
A long coaxial cable consists of an inner cylindrical conductor with radius a and an outer cylindrical shell of inner radius b and outer radius c. The cylindrical shell is mounted on insulating supports and has no net charge. The inner cylinder has a uniform positive charge per unit length...
Can someone put into plain english the following points:
1. What is the concept of Gauss' physical law.
2. Why is the rotation of an electric field zero.
Cheers
Hi folks,
I'm working on the following problem...
Show that the flux of the vector field \nabla \times A through a closed surface is zero. Use both Gauss and Stokes.
Where can I begin?
Thanks...
i'm sure some of you are familiar with a gauss rifle. I'm doing an experiment using the magnets and marbles. does this at all relate to the gauss rifle guns.thanks
I'm having trouble with the following problem:
An early (incorrect) model of the hydrogen atom, suggested by J.J. Thomson, proposed that a positive cloud of charge +e was uniformly distributed throughout the volume of a sphere of radius R, with the electron an equal-magnitude negative point...