Gauss Definition and 647 Threads

Homework Statement A hollow sphere of outer radius R2 and inner radius of R1 carries a uniform charge 2Q. The sphere is then cut in half to create a hemispherical shell of charge Q. Calculate E at the center point (origin) P. Homework Equations equation of a hollow sphere =...

Hi all, Lets suppose we have a sphere. This sphere has density of \rho(r) from 0 to the sphere's final radius R. Now, we all know that from Gauss law, the charge inside the sphere equals to the integral of the surface of the sphere. If we set our normal vector to be as usual out of the...

So i can see by symmetry arguments why The electric field inside a uniformly charged spherical shell would be zero inside. But what about a non uniformly charged spherical shell. Say most of the charge is located on one side, why is the electric field still zero? I can see that the flux...

Homework Statement The cross section of a long coaxial cable is shown in the figure, with radii as given. The linear charge density on the inner conductor is -80 nC/m and the linear charge density on the outer conductor is -10 nC/m. The inner and outer cylindrical surfaces are respectively...

Gauss method for electric field evaluation. please help! Hi ppl, I have a simple question of something that I didn't get. I guess something simple. Why in the case of Gauss solution for capacitance we add the electric field of one plate charged in positive to another charged in negative to...

I actually have solved the problem and received the answers that the book provided. However I am second guessing what I did, This is the problem: let rho v be 10/r^2 mC/m^3 between 1<r<4 let rho v be zero elsewhere a)find the net flux crossing the surface at r=2 m, r= 6m b)determine...

I know that "ß" represents "ss", being a long s attached to a modern s, but why do some people STILL type it this way? Is it any different to writing Чебышёв for Chebychev?

I have Ax=b problem where A 1484x1484 matrix,b 1484x1. A is sparse(95% zeros) but if I go for LU decomposition what should be the next step? Or is there any other method,I forgot algebra,learned it when I was undergrad long time ago.

Homework Statement an infinite plan,parallel to the yz plan which passes from x=2 meter, is charged equally with the σ= 2μC/m^2 .A sphere with a radius 0.8 meters has its center in the in x=1 m,y=0 and has ρ=-6μC/m^3.Find the value of the intensity of the electric field in the point x=1 m and...

Shalom We are used to hearing that Coulomb's law doesn't settle with the relativity principle that nothing moves faster than the speed of light, in the sense that it embeds 'Action in a Distance'. Meaning that if somthing changes in r1 at time t1, and we write the law for any t before...

Homework Statement There are three concentric thin spherical shells A,B and C of radii a,b and c respectively. The shells A and C are given charges q and -q respectively and the shell B is earthed. Find the charges appearing on the surfaces of B and C. Homework Equations Gauss' Theorem and...

I know NOTHING about electronics like this. However, I am taking on a small project. I have a question that you can probably answer in half a second. I bought a few HE sensors, which are on their way. I need to know what activation sensitivity this HE sensor has in Gauss...

Homework Statement a spherical shell has an outer radius R and a inner radius R/2 and carries a total charge -q, distributed with uniform charge density. A point charge +q is at the centre of the sphere. Calculate the electric field strength for R/2<r<R Homework Equations Gauss' Law The...

Use the gauss bonnet theorem to show that the gauss curvature of a closed orientable surface of genus 2 cannot be identically zero euler characteristic is 2-2(2)=-2 so total gauss curvature is equal to -4pi. The integral of zero is zero and not -4pi so gauss curvature is not identically zero...

Hey. I want to use integrals-math to get from Gauss law in divergence form to the one in integral form. I know you can do it by simply accepting ∇*E dV = ρ/ε => ∫ ∇*E dV= ∫ρ/εdV = Q/ε = ∫E*dA, but I want to do it another way. I want to begin with ∫∇*E*dV and end up with Q/ε. So: E =...

Gauss' Lemma is stated and proved on pages 303-304 of Dummit and Foote (see attachment) =========================================================================================== Gauss Lemma Let R be a UFD with field of fractions F and let p(x) \in R[x] . If p(x) is reducible in F[x] then...

According to Gauss’ law the total number of lines of force over a closed surface is equal to 1/ε times the net charge enclosed within the closed surface. Why should it be a closed surface but not an open surface too? I am unable to find a convincing explanation for it. Since we take into...

I am in general physics III (E&M) at Cal Poly and I have a midterm tomorrow... my professor didn't go over Gauss' Law too much, so I'm having issues with this problem that is on his review. I will write the question exactly as it appears on the sheet. Homework Statement "You have a hollow...

Homework Statement if \frac{a_n}{a_{n+1}}=1+\frac{p}{n}+β_n and β converges absolutely, then at the infinity the sequence a is of the same order as \frac{c}{n^p}. Homework Equations Basic convergence test(Cauchy and d'Alembert's tests) The Attempt at a Solution I find this question...

Hello all! I actually have a few doubts regarding "gauss law" when applied "for different models of sphere" First, If we place a charge 'Q' inside a spherical shell at the center (somehow) then it should come out to its surface that means in no way can we do it. True or False? Next...

Homework Statement 1. Positive charge Q is placed on a conducting spherical shell with inner radius R1 and outer radius R2. A point charge q is placed at the center of the cavity. The magnitude of the electric field produced by the charge on the inner surface at a point in the interior of...

Homework Statement Hi. A cylinder of radius r & length L whose charge density distribution is given by ρ = C/2 * r3 where r = radial distance in cylindrical coordinates C = constant show that the average charge density ρbar = a3 C / 5Homework Equations Gauss differential law div E = ρ / ε0 div...

I'm currently reading an electromagnetism textbook and it has said that Gauss's theorem can only be applied on: Concentric spheres Concentric cylinders Parallel planes In these cases the "symmetry allows the integrals to be evaluated" In class we only ever really use co-axle cables...

Homework Statement I'm almost done writing a paper on Gauss' Law and for my final body paragraph I want to include some interesting applications of Gauss' Law. I mean applications as in what has Gauss' Law helped to create or invent- something relatively tangible. Homework Equations...

Homework Statement 1. 2. Homework Equations ∫E.dA = Qenc/\epsilon_{o} \lambda=Q/L \rho=Q/V V= q/4πε_{o}r The Attempt at a Solution these types of problems i suck at, i don't know how to do these at all independently, and is there any difference in question 2 if there is an insulator or...

Homework Statement A hollow spherical shell carries charge density \rho=\frac{k}{r^2} in the region a<=r<=b, where a is the inner radius and b is the outer radius. Find the electric field in the region a<r<b. I'm not allowed to use integral form of Gauss's law, must use differential...

Homework Statement A long non-conducting cylinder has a charge density ρ = αr, where α = 6.34 C/m4 and r is in meters. Concentric around it is a hollow metallic cylindrical shell. Diameter 1: 4.36 cm Diameter 2: 10.4 cm Diameter 3: 16 cm What is the direction of the electric field at...

Gauss' Law problem! Help please! infinite sheet with charge density? In the figure below, a small circular hole of radius R = 1.80 cm has been cut in the middle of an infinite, flat, nonconducting surface that has uniform charge density σ = 4.50 pC/m2. A z-axis, with its origin at the hole's...

We know that for an infinite sheet of charge, E = λ / 2ε, where λ is the surface charge density. This can be easily found using gauss law and a cylinder perpendicular to the sheet as a gaussian surface. We will end up with something like Qinc/ε = 2E ∫dS, from which we find E = λ / 2ε. Now say...

It's been many years since I studied this so I would appreciate some confirmation on the formula and its parts. The formula I was taught to calculate the Gauss of an electromagnet was: B=MNI/2R with: B = Magnetic flux in Gauss M= Magnetic permeability of core material N =...

We had a seminar on Gauss words yesterday, and the speaker brought up the fact that there are relatively few cases where the Gauss word could not be reduced to the trivial word. My question is, if the Gausss words can so often be reduced to the trivial word, how is that a good thing? At the...

Hello! I was reading a journal article on modeling the interaction between different neural networks and I am confused about the follwoing method (cited below). It is describing the spike rate output of a neuron based on oscillating firing rates of excitatory (E) and inhibitory (I) inputs...

Differences between Newton Raphson & Gauss Seidel Methods !? hello everyone ... can anyone please summarize me the differences between Newton Raphson & Gauss Seidel Methods in load flow study !? I'll be really thankful

Homework Statement A long line of charge with density λ (C/m) is surrounded by a concentric cylindrical conducting shell of inner radius R1 and an outer radius of R2. The shell carries a net charge of -2λ (C/m). Use Gauss' Law to determine the electric field as a function of the distance 'r'...

Gauss equations state that the flux of a gaussian surface is equal to the sum of all the electric field times the surface area. Although he stated this in theory, how was he able to prove it possible. What measuring device do people use to prove that this theory is correct?

Given a spherical shell insulator as defined by an inner radius a = 4 cm and an outer radius b = 6 cm and carries a total charge of Q = + 9 C (1 C = 10-6 C). (You may assume that the charge is distributed uniformly throughout the volume of the insulator). What is Ey, the y-component of the...

Gauss' Law has been fairly tough for me and I seem to be struggling to analyze situations properly and, specifically, decided on the net charge included in arbitrary symmetrical-shapes used for this law. Specifically, this one includes two spherical shells. Homework Statement A point charge q1...

An electric field is E = 250 N/C i for x > 0 and E = -250 N/C i for x < 0. A cylinder of length 20 cm and radius 3 cm has its center at the origin and its axis along the x-axis such that one end is at x = +10 cm and the other is at x = -10 cm. What is the outward flux through each end? a) +x...

Hi, I don't understand this: You got a dipole, and a resulting electric field from it like this(hyperphysics): As z approaches infinity, the field becomes zero. But if you draw a gaussian surface round the charges, then the net enclosed charge is zero.So the electric field must be zero, no...

Homework Statement How do I find the electric field at a point above the center of a charged sphere? Assume the sphere is a shell.Homework EquationsThe Attempt at a Solution\ I know there will only be a z component to the electric field, because x and y components will cancel by symmetry. I...

My question is about the strength of magnets and how the strength is affected when you spin a magnet. When I use my meter to read the gauss of a permanent magnet I don't get much of a reading at all. However, when I spin the magnet the reading becomes very strong bouncing the needle quite high...

Homework Statement Mesh Analysis, find current z: A= \left(\begin{array}{ccc}+30x&-15y&-15z\\-15x&+30y&-15z\\-15x&-15y&+30z\end{array}\right) b= \left(\begin{array}{c}+10\\-10\\0\end{array}\right) Homework Equations A*x=b A= resistance x= currents b= voltage sources Gauss elimination...

"As the ball gets deeper under the surface of the Earth, the layers above it stop exerting gravitational force, and all that matters is the mass underneath." How to justify this sentence is true?

I'm trying to explain Gauss' Law to a bunch of high school kids. They want to know why the total electric flux through a closed surface does not depend on the shape and volume of the closed surface and the orientation of the enclosed charges. I know the math, but conceptually, I'm at a...

Homework Statement Calculate the electric field at a point 2.79 cm perpendicular to the midpoint of a 2.02 m long thin wire carrying a total charge of 5.04 uC. You could integrate BUT if the wire is very long compared to the distance from the wire to where you are calculating the electric...

We all know Gauss (German) but few know Sophie Germain (French). She made some contributions to Fermat's Last Theorem. She corresponded with Gauss keeping her gender secret for a while though the two never met. Does anyone know what language they communicated in? Probably French.

Gauss Legendre numerical intergration The attachment file contain solved example i don't know how he subsitute and why a2=2 done disappear in the answer please expalin in details

Hello, I'm David. I'm a new member here. Could anyone of you help me? Where can i find the formal deduction of Gauss' Normal Distribution Function? I've read a lot of statistics books and never found that. Where that comes from? It's just curiosity, not homework. P.S.: sorry about my...

hey guys and gals, I'm normally pretty good at my physics homework, but this problem has my STUMPED, I think I am starting it right, but I have no idea how to proceed or if I am on a good path. Homework Statement A Very Long Cylinder with a radius of 7.2cm (.072m) has a uniform density of...

I have used two different Gauss meters to measure the same NdFeB rare Earth N45 (45 MGOe) disc magnet (D28X6mm), with a Residual Induction (Br) of 1320-1380 mT. The first is a Dr. Steingroever GmbH FH51 Gauss meter. It would take readings of up to approximately 1.2 Tesla (12,000 Gauss)...