Gauss Definition and 622 Threads

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...

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}...

I started having this doubt since i saw the derivation of potential across a capacitor using this method. So.. here i ask: Let there be two large sheets made of insulators, and charged to a planar charge density, \sigma (Sheet 1) and 2\sigma (Sheet 2). Since they are insulators, when placed...

Homework Statement In a spherical region, the voltage is measured to be spherically symmetrical, with v=v(r)=wr^p a. Find the radial electric field. b. Use Gauss’ Law to find the charge enclosed in a sphere of radius r. c. Find the charge enclosed by a sphere of radius...

Homework Statement A solid sphere contains a uniform volume charge density (charge Q, radius R). (a) Use Gauss’s law to find the electric field inside the sphere. (b) Integrate E^2 over spherical shells over the volumes inside and outside the sphere. (c) What fraction of the total electrostatic...

! AHH Gauss' Law! Homework Statement Figure 23-27 is a section of a conducting rod of radius R1 = 1.30 mm and length L = 11.00 m inside a thick-walled coaxial conducting cylindrical shell of radius R2 = 10.0R1 and the (same) length L. The net charge on the rod is Q1 = +3.40 × 10^-12 C; that...

the electric field produced due to a time varying magnetic field is non-conservative in nature. does it follow gauss law?

[SOLVED] Gauss and E-Field Homework Statement http://img443.imageshack.us/img443/9452/eletroof9.th.png My main problem with this problem is finding the electric field at Point 2 (P2) Homework Equations The Attempt at a Solution I derived the electric field using Gauss's Law for a...

I'm still not confident with these kinds of problems. Hopefully I got it right, but can someone double check my work? Thanks! Two parallel, infinite planes are separated by a distance d. Find the electric field everywhere (a) if both planes carry a surface charge density \sigma and (b)...

hi, i hav read gauss law chapter from my textbook but still i m facing problems based on it. please explain me GAuss law in an easy language.

Homework Statement What is the escape speed for an electron initially at rest on the surface of a sphere with a radius of 1.0 cm and a uniformly distrubted charge of 1.6 X 10^-15 C? That is, what initial speed must the electron have in order to reach an infinite distance from the sphere and...

Homework Statement Consider an infinitely long cylindrical metallic shell with a line of charge within and coincides with the axis of the cylindrical shell as shown in Figure . How does E field vary with r? Homework Equations E.A=q/\epsilon E=E field, A = surface area The...

Homework Statement If the electric field of a point charge were proportional to 1/(r^3) instead of 1/(r^2), would Gauss's law still be valid? Explain reasoning. Homework Equations The Attempt at a Solution Considered a spherical Gaussian surface centered on a single point charge.

I'm reviewing for my final and there is a question I can't seem to solve. If anyone could help me with it I would appreciate it very much. A ruled surface has the parameterization of the form: x(s,t) = A(s) + tB(s) where A(s) is unit speed, |B(s)| = 1. Show that: K<or= to 0. So...

Homework Statement A certain region of space bounded by an imaginary closed surface contains no charge. Is the electric field always zero on the surface? If not, under what circumstances is it zero on the surface? Homework Equations Φ = Q[SIZE="1"]enclosed÷[SIZE="6"]ε[SIZE="1"]o = EA...

Sidney Coleman (1937-2007) was a descendant of Gauss Arivero informed us of this back in 2005, about the time a celebration for the much beloved and admired Sidney Coleman was held at Harvard---the "Sidneyfest". Attended by a who's who of Nobel laureates and the like. Anyway Arivero came up...

I am just interested is there anyway to solve these through a specific method by hand. I know that you can produce an algorithm so that you can solve these into upper triangle form but is there a way to do it by hand other than by inspection.

[SOLVED] Gauss' Law With an Infinite Cylinder of Charge Homework Statement The test question was to find the potential difference between a point S above a cylinder of charger per length lambda, and a point on the surface of the cylinder having radius R and infinite length. Homework...

Homework Statement An insulator in the shape of a spherical shell is shown in cross-section above. (see attached .gif) The insulator is defined by an inner radius a = 4 cm and an outer radius b = 6 cm and carries a total charge of Q = + 9 mC (1 mC = 10-6 C). (You may assume that the charge...

Homework Statement A point charge q_{1} = 4.15 \times 10^-6 is located on the x-axis at x = 1.80 m, and a second point charge q_{2} = -5.80 \times 10^-6 C is on the y-axis at y = 1.10 m. What is the total electric flux due to these two point charges through a spherical surface centered at...

Homework Statement 4. In Fig. 23-28, a butterfly net is in a uniform electric field of magnitude {E = 3.0} mN/C. The rim, a circle of radius a = 11 cm, is aligned perpendicular to the field. The net contains no net charge. Find the electric flux through the netting...

Problem Problem 27.56 A sphere of radius R_0 has total charge Q. The volume charge density (C\m^3) within the sphere is \rho(r) = C/(r^2), where C is a constant to be determined. Part A The charge within a small volume dV is dq = \rhodV. The integral of \rhodV over the entire volume of...

Homework Statement An electric field in the region r > a is given by E,r = 2*A*cos(theda)/r^3 E,theda = A*sin(theda)/r^3 E,phi = 0 A = constant Find the volume charge density in this region. E,r and E,theda and E,phi are the components of E in the r, theda, and phi directions...