Gauss Definition and 622 Threads

Two identical conducting spheres each having a radius of 0.460 cm are connected by a light 1.20 m long conducting wire. Determine the tension in the wire if 69.2 (micro)C is placed on one of the conductors. (Hint: Assume that the surface distribution of charge on each sphere is uniform.)...

I'm not entirely sure how to word this without a diagram, but please bare with me! In an ideal case, the charge on a wire is evenly distributed. According to Gauss' Law, an electric field from a charged wire decays with 1/r where r is the distance from the centre of the wire. Say two...

Homework Statement Use Gauss' law to find the charge density on a Van Der Graff dome (r=40cm) if it is charged to 100kV. What is the electric field strength at r=25cm? I understand gauss's law and I know that I need to use it to find the total charge enclosed on the dome. I can then work out...

Homework Statement Is it possible to use Gauss' law to find intensity of a spherical charge distribution where the charge distribution (i)is non-homogeneous in general...i.e. dependent on (r,theta,phi) (ii)can be thought of as a made up of concentric spherical shells of different...

I would appreciate hints on how one can calculate the dependence of the electric potential as a function of distance r from an isolated charge Q in 5-dimensions

hi I have this question, I need your help: If the photon had mass "m" , show that the Gauss' law would no longer be true. Note that the electric poential for a point charge would then have a form V(r) = e/r exp ( -mc/h * r ) Thank you

hi I have this question, I need your help: If the photon had mass "m" , show that the Gauss' law would no longer be true. Note that the electric poential for a point charge would then have a form V(r) = e/r exp ( -mc/h * r ) Thank you

Homework Statement 1.)Two large metal plates of area 1.0m^2 face each other. They are 5 cm apart and have equal but opposite charges on their inner surfaces. If the magnitude E of the electric field between the plates is 55N/C, what is the magnitude of the charge on each plate?Neglect edge...

We have an electric dipole. Now, let us draw a Gaussian surface around our electric dipole. Now, the total charge enclosed by our Gaussian surface is zero, so according the Gauss' Law the flux through the Gaussian surface is zero, and so is the electric field intensity due the electric dipole...

Homework Statement A square plate of edge length 9.0 cm and negligible thickness has a total charge of 6.3 x 10-6 C. (a) Estimate the magnitude E of the electric field just off the center of the plate (at, say, a distance of 0.50 mm) by assuming that the charge is spread uniformly over the...

I've been reading 'Measuring the World' by D. Kehlmann, i have reached to the part when Gauss using the least square approach (¿? still not 100% sure) discovered the orbit of 'Ceres' but my question is How did he get it??.. assuming the orbit is elliptic and using some possible meditions how...

Hey, I need help to use the Gauss law in this problem: We have A planar slab of charge with a charge density ρv=ρvosin(2*pi/(2*a)),for -a<x<a the thickness of the stab is 2*a. the horizontal y-axis passes through the middle of the stab. the x-axis is vertical a) Find the electric field...

Homework Statement An infinitely long cylindrical shell of radius 6.0 cm carries a uniform surface charge density sigma = 12 nC/m^2. The electric field at r = 5.9 cm is approximately a.0.81 kN/C b.zero. c.1.3 kN/C. d.12 kN/C. e.0.56 kN/C...

Homework Statement A sphere of radius 8.0 cm carries a uniform volume charge density rho = 500*10^-9 C/m^3. What is the electric field at r = 3.0 cm? a.36.0 N/C b.230 N/C c.140 N/C d.565 N/C e.450 N/C Homework Equations E = (k*Q*r)/(R^3), where...

Homework Statement A small, insulating, spherical shell with inner radius a and outer radius b is concentric with a larger insulating spherical shell with inner radius c and outer radius d. The inner shell has total charge q distributed uniformly over its volume, and the outer shell has...

Hi, I hope this is advanced enough to warrant being in this section: I'm supposed to use the Gauss theorem (and presumably his law) to show: 1)The charge on a conductor is on the surface. 2)A closed hollow conductor shields its interior from fields due to charges outside, but doesn't...

Please check my work for the following problem: Homework Statement By subsituting A(r) = c \phi(r) in Gauss's and Stokes theorems, where c is an arbitrary constant vector, find these two other "fundamental theorems": a) \int_{\tau} \nabla \phi d \tau = \int_{S} \phi ds b) - \int_{S} \nabla...

Hello, everyone. I hope that you can help me get started on one of the problems I have due this week. Homework Statement Find the electric flux through the hemisphere z = (square root of a^2 - x^2 - y^2). - The Attempt at a Solution I'm fairly certain I need Gauss' law to help...

Homework Statement A charge Q is located inside a rectangular box. The electric flux through each of the six surfaces of the box is: Φ1=+1500 Φ2=+2200 Φ3=+4600 Φ4=-1800 Φ5=-3500 Φ6=-5400. (unit: N x m^2/C) What is Q?Homework Equations ΦE =Q/ε The Attempt at a Solution Add up all the Φ's to...

H e l p m e I want code for gauss elimination by C++ for solving my homework

I have a problem that involves computing the vector surface of z=e^(1-x^2-y^2) where z is greater then or equal to 1, for a Vector Field F=xi+yj+(2-2*z)k. This is to be done using Gauss' theorem. I got an answer of 0, which doesn't seem right I just want to ask if anyone can confirm or deny the...

Ok for example, if a solid conduction sphere was charged to 500volts and had radius of 1cm. Then charge, Q = VR = 5? So the E field just outside the sphere would be E = (1/4pi epsilon) x charge/R^2 = 4.5 x 10^14? Or am i getting confused?

Can anyone help me with how to derive Gauss's law (differential form) from the Divergance theorem?

Hi guys, I am having trouble with this "simple" problem involving these two theorems: Find the value of the integral (A dot da) over the surface s, where A = xi - yj + zk and S is the closed surface defined by the cylinder c^2 = x^2 + y^2. The top and bottom of the cylinder are z= 0 and...

A hollow spherical shell carries a charge density \rho = \frac{k}{r^2} in the region a<= r <= b. As in the figure Find the elctric field in these three regions i) r <a ii) a<r<b iii) r>b SOlution: for r<a it simple.. no exclosed charge for any gaussian sphere within that region...

Use Gauss' Law to find the field inside and outside a long hollow cylindrical tube which carries a uniform surface charge sigma. It has been a few months since i did this so i may be a bit rusty As i can recall if there is a point inside a holow cylindrical tube there is no enclosed charge...

Hi Can anyone please explain Gauss Law in simple terms for me? I really don't understand the electric flux and formulas in this law. My book is very short on explaining this law.

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 ?

why is it that a gaussian surface cannot pass through discrete charges ... but can pass through a continuous charge distribution??

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...

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...

how －∫(v)laplace functor *J*dτ change into -∮(s) J(n) dS using Gauss formula?

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...