Gauss Definition and 648 Threads

Homework Statement Problem 1. A block having mass m and charge +Q is connected to an insulating spring having force constant k. The block lies on a frictionless, insulating horizontal track, and the system is immersed in a uniform electric field of magnitude E directed as shown in Figure P25:7...

Homework Statement how to find eigenvectors by using gauss jordan A=[1 1; 2 2] Homework Equations I know how to use gauss jordan but don´t know how to use it to find eigenvectors The Attempt at a Solution First I find the eigenvalues: ((y-1)(y-2)-(1*2)=> y1=0 and y2=3 Then I...

Am I correct in my understanding of the standard normal distribution: An idealized probability distribution which can be used to approximate many distributions which arise in practical applications. (WHat are some of these applications?) How exactly does the standardized normal...

For a high school Physics project, I am supposed to create an electromagnetic device (like a generator, a motor, a Magnetohydrodynamic boat, etc.) I was thinking about building a Gauss gun, but was wondering if I could replace the individual magnets with electromagnets. I have a bunch of 1/2"...

Hi All, I am studying Gauss' law and have learned that using symmetry, we need to select a cyclinder in order to calculate electric field of an infinite plane sheet of charge. 2EA = \frac {\sigma A} {\epsilon} That equation is written using Gauss' law and hence E field is found...

Homework Statement A sphere has outer radius 15 and inner radius 5. Between r= 5 and 15, the sphere is solid and contains a total charge of 20 C. At r < 5, the sphere is hollow. Calculate the electric field at r = 8. Homework Equations Gauss' Law --> EA = (q)/epsilon zero...

Homework Statement Consider a conducting spherical shell with inner radius 0.8 m and outer radius 1.3 m. There is a net charge 3 μC on the shell. At its center, within the hollow cavity, there is a point charge 3 μC. Determine the flux through the spherical Gaussian surface S, which has a...

Homework Statement http://img21.imageshack.us/img21/8079/orderyy3.th.jpg Homework Equations The Attempt at a Solution Well all I know that the smallest will be C, as it's 0 (inside the conductor), I think the next one is A, and I don't know about B and D

Use Gauss' Law to find the electric field, everywhere,of charge of uniform density \rho occupying the region a<r<b, where r is the distance from the origin. Having done this, find the potential. Ok, so far I said that by Gauss' Law, \Phi=\oint_S \vec{E} \cdot \vec{dS} = \int_V \nabla \cdot...

Homework Statement I just have a little question about Gauss' Law (differential form). If divE = p/e0 where p is the charge density and e0 is permittivity of free space. But if we had a sphere with a total net charge of Q, then outside the sphere, the field is E=k/r^2 I think. Then...

I've "derived" the first Maxwell equation of the divergence of the E-field starting at the Coulomb force of a point charge using Gauss law and even the Dirac delta function to justify the divergence at the origin. Now I'm wondering: when you state the law in differential form, i.e. not...

Homework Statement 1) Find the area under the curve for: a) P( 0 <= Z <= 2.07) b) P(-.64 <= Z < -.11) c) P( Z > -1.06) d) P(Z < -2.33) e) P(Z >= 4.61) 2) a) Evaluate integral from 0 to 1.24 of e^(-x^2/2) b) Evaluate the integral from -inf to inf of 6*e^(-x^2/2) Homework...

Homework Statement We were asked to do a course project using to solve a powerflow system usign gauss seidel and Newton raphson methods. after writing down the equations at each bus and double checking them this is the final code2. The attempt at a solution c=1 V1=1 P2=-8 Q2=-2.8 V3=1.05...

Hello, Thank you very much for takign the time to help me out. This is an applied calculus 3 (multivariable calc) level problem. I have an answer, but it is nonsensical as the units are not in accordance with units of charge, C. Homework Statement Instructions: Use Gauss' Law for...

Can gauss law in its equivalent form be used to determine the gravitational field?? If so how??

I am currently working on constructing a Gauss Cannon using the simple method of some chrome balls with a neodymium magnet on a track arranged thus: 0_____||0000____ so when the ball (0) on the left is released it is attracted by the two magnets (|) and smashed into them, and with the same...

hey everyone... i want to know why can't we use Gauss law to calculate the electric flux density of a charged disk? and how to calculate it "everywhere"? as coulomb's law calculates it at a certain point only...

Homework Statement A very long, solid insulating cylinder with radius R has a cylindrical hole with radius a bored along its entire length. The axis of the hole is a distance b from the axis of the cylinder, where a < b < R. The solid material has a uniform volume charge density, ρ. Find...

Use Gauss Lemma (Number theory) to calculate the Legendre Symbol (\frac{6}{13}). I know how to use Gauss Lemma. However we use the book: Ireland and Rosen. They define Gauss Lemma as: (\frac{a}{p})=(-1)^n. They say: Let \pm m_t be the least residue of ta, where m_t is positive. As t ranges...

1. A thick conducting cylindrical shell has an inner radius Rsub1 and outer radius Rsub2. It has a net excess charge = Q, and it is L long. Find electric field at certain points given. Ok, when r is less than Rsub 1, the electric field is zero. And when r is greater than Rsub2, it is easy to...

Hello all, first time post here. I was curious, hypothetically, how much juice would you need to generate a 400,000 Gauss magnetic field?

Gauss Jordan Elemination Method (Stucked)! Homework Statement 5x1+3x2+2x3=4 3x1+3x2+2x3=2 +x2+x3 =5 I have to solve this problem by calcutaing the inverse if this equation's augmented matrix Homework Equations I used this method to find its inverse 5 3 2 1 0 0 3 3 2 0 1...

Homework Statement what is the approx electric field 1cm above a typical sheet of paper with a surface charge density of sigma = 45 nC/m^2?Homework Equations electric field E = sigma/epsilon_0 where epsilon_0 = 8.85*10^-12 E = kq/r^2 where k = 9*10^9, r is distance in meters assume paper...

Gauss' Law - Sphere with spherical cavity - Please help Homework Statement A sphere of radius 2a is made of nonconducting material that has a uniform volume charge density . (Assume that the material does not affect the electric field.) A spherical cavity of radius a is now removed from the...

Homework Statement A positive charge q is in the center of an espheric hole of radius R inside a dielectric material with constant Ke. Find the electric field module inside the dielectric in a point very near to the hole surface and the polarization charge over the surface. Homework...

Say we are looking at a positively charged rod with uniform charge density and a radius of R. When using Gauss' law and taking a cylindrical surface we use the formula E = lambda/2*pi*epsilon*r When we derive this equation we are assuming R is significantly smaller than L and so we...

Homework Statement Hi, I am new to gauss jordan elimination and our teacher onlt taught us how to solve a 3x3 equation and gave us a 7x7 problem to answer due tom. 2m + 3n - p + q + 2r - s + 2t = 1 m - n + p - q + r + s + t = 2 2m + 2n - 2p + q - 2r + s - t = 1 m - 2p + q - r - s + t =...

A long non-conducting cylinder has a charge density p = a*r, where a = 4.73 C/m^4 and r is in meters, and a radius of 0.0437m . Concentric around it is a hollow metallic cylindrical shell with an inner radius of 0.119m and an outer radius of 0.158m. 1) What is the electric field at 0.172m...

Two large flat metal sheets are a distance L apart. The separation L is small compared to the lateral dimensions of the sheets. Each sheet has a total surface area A, which includes both top and bottom surfaces of the sheet. The thickness of each sheet is very small compared to its lateral...

Can someone explain the following? A positive charge Q is placed on a square sheet of nonconducting material of side x cm in the yz plane. What's the magnitude and direction of the electric field next to the sheet and proximate to the center of the sheet? I don't understand why the...

Homework Statement Two nonconducting spheres, of r1=3.0cm and r2=2.0cm, are placed of an x-axis. They have surface charge densities of +6.0mC/m2 and +4.0 mC/m2, respectively, on their outside surfaces. The center of sphere r1 is on the origin and the center of sphere r2 is 10 cm away. What is...

Gauss said: "Mathematics is the queen of the sciences and number theory is the queen of mathematics." But would he still make this comment today after learning the new abstraction and foundations that mathematics has taken on?

The earth’s electric field is measured at a height of 200 m and is found to be directed vertically downwards and to have a strength of 100 Vm1. At a height of 300 m, the direction of the field is found to be the same, but the field’s strength has decreased to 60 Vm1. Use Gauss’ law to...

hello, I was wondering if there is an equivalent gauss' law for gravitation like: \Phi=4\piG*Menclosed any help would be appreciated. Thank you.

I really just want to know if I'm doing this correctly, as I don't have access to the answer to check. Homework Statement A cylindrical shell of radius 7.00 cm and length 240 cm has its charge uniformly distributed on its curved surface. The magnitude of the electric field at a point 19.0 cm...

Consider an insulating sphere with radius of 7 cm. A charge of 13.8561 µC is uniformly distributed throughout this sphere. It is surrounded by a conducting shell. Denote the charge on the inner surface of the shell to be q2 and the charge on the outer surface of the shell to be q3. The total...

A long non-conducting cylinder has a charge density ρ = α*r, where α = 4.95 C/m4 and r is in meters. Concentric around it is a hollow metallic cylindrical shell. https://www.physicsforums.com/attachment.php?attachmentid=14741&d=1216404841 1. What is the electric field at 2 cm from the...

1. Homework Statement A thin, cylindrical copper shell of diameter ds = 6 cm has along its axis a thin metal wire of diameter dw = 7.05 × 10-3 cm. (as shown in the diagram below.) The wire and the shell carry equal and opposite charges of 5.90 × 10-9C/cm, distributed uniformly. What is the...

Homework Statement a small circular hole of radius R = 2.03 cm has been cut in the middle of an infinite, flat, nonconducting surface that has a uniform charge density σ = 4.61 pC/m^2. A z axis, with its origin at the hole's center, is perpendicular to the surface. What is the magnitude (in...

Homework Statement A charge of uniform linear density 2.80 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 5.20 cm, outer radius = 10.8 cm). The net charge on the shell is zero. (a) What is the magnitude...

Homework Statement The box-like Gaussian surface of the figure below encloses a net charge of +57.0ε0 C and lies in an electric field given by = [(10.3 + 2.4x)·i - 3.1·j + bz·k ] N/C, with x and z in meters and b a constant. The bottom face is in the xz plane; the top face is in the...

Homework Statement this is a 2 part problem let G: T-----> (Sigma) be the gaus map of the torus T derived from its outward unit normal U. What are the image curves under G of the meridians and parallels of T? What points of (Sigma) are the image of exactly two points of T? And Let...

Homework Statement A Particle of mass m and chargeq oves at high speed along the x axis. It is initially near x=-infinity and it ends up near x=+infinity. A second charge Q is fixed at the point x=0, y=-d. As the moving charge passes the stationary chrge, its x component o velocity does not...

Homework Statement A Particle of mass m and chargeq oves at high speed along the x axis. It is initially near x=-infinity and it ends up near x=+infinity. A second charge Q is fixed at the point x=0, y=-d. As the moving charge passes the stationary chrge, its x component o velocity does not...

http://imageupload.com/out.php/i120384_Untitled.gif I havnt had any luck with this question. The only possible approach i can think of is to use gauss' law for electric fields. I know I am supposed to show my working, but this really had me stumped, and I've really gotten nowhere. I...

Homework Statement A metal ball with radius R = 0,6 m is charged with Q = 0.15 nC. Find the electrical field as function of the distance r from the center of the ball. The Attempt at a Solution Gauss law: Q = e0*E(r)*A = e0*E(r)*4*pi*R^2 which gives E(r) = Q /...

problem in flux / gauss law could someone please post me a link which can explain gauss law. i am having trouble understanding the basics regarding it. eg. if we have a point charge +q kept at the edge of a cube of say side 'a' , what will be the net flux through the remaining sides...

Hi all! Homework Statement The problem is: For a particle with electric charge equal to that of one electron, the trajectory radius R is related to the absolute value of the perpendicular component P_{\bot}of the relativistic moment perpendicular to \textbf{B} from the relation...

Can anyone explain this to me?

Hi, I have a computational question about the Hilbert action with an added Gauss-Bonnet term. The Lagrangian L ( seen here as a scalar density) then looks like this: L = {\cal L} \sqrt{g} = \Bigl(R+ R_{\mu\nu\rho\sigma}R^{\mu\nu\rho\sigma} - 4R_{\mu\nu}R^{\mu\nu} + R^{2}\Bigr)\sqrt{g}...