Gauss Definition and 622 Threads

Gauss' Law only figures out the the total charge enclosed by the Gaussian surface and on it, I treid this in a few cases where charges were placed only inside the surface, and my answers were correct. But, when I tried imagining how to do this if there were charges present outside...

Homework Statement The objectives of this exercise is to develop a load flow algorithm based on Gauss Seidel method and then investigate the phenomena of transport of active and reactive power over transmission networks. Background A remote load centre is supplied by a remote hydro...

I have read two ideas: 1. is that the 50/ 60Hz everyday home power supplies encourage this 2. that the higher frequencies are disproportionally (greater) 'absorbed' than the lower... Please point me down the right track Thank you, Sem

Homework Statement A point charge Q is located at the origin. The point charge produces an electric field at a radius of 2.0 meters from the origin of 20N/c.The electric potential of a spherical surface of radius 3.0 meters around the point charge is, in Volts. Homework Equations...

Hello, I wonder that the gauss' theorem for gravitational force area. \int\int_S \vec{g}\hat{n}dS=-4\pi GM=\int\int\int_V \vec{\nabla}\stackrel{\rightarrow}{g}dV \vec{g}=-G\frac{M}{r^2}\hat{r}\Rightarrow\hat{r}=\frac{\vec{r}}{r}\Rightarrow\vec{g}=-G\frac{M}{r^3}\vec{r} for...

Hi I'm just making sure I'm understanding the information I'm getting from "A Student's Guide to Maxwell's Equations" The book is talking about Gauss' Law for Electric Fields \bold{E\cdot n}\;\; = E cos (90) = 0 Does this mean that the full electric field is going through the...

Homework Statement Prove \nabla \bullet E =4 \pi \rho from \partial_{\beta}F^{\alpha \beta}=4 \pi J^{\alpha} where J^{\alpha}=(\rho, J^{1}, J^{2}, J^{3}). Homework Equations We are given that F_{\alpha \beta} is 0~~~~E_x~~~E_y~~~E_z -E_x~~~0~~~~-B_z~~B_y -E_y~~B_z~~~~0~~~-B_x...

A region in space containing cargo which is distributed spherically so that the stocking load ρ is given by the equotations: ρ = a for r<=R/2 ρ = 2a(1-r/R) for R/2<=r<=R ρ=0 for r>=R The total charge Q is 3*10^-17 C, the radius R of the overall distribution is 2*10^-14 m and a is a constant...

Does the magnetic field around a magnet increase when the distance away from the magnet increases? While using a calculator for magnetic flux I noticed that the magnetic flux increases when the air gap increases. So does this mean the magnetic field of a magnet will increase the further you...

Now, i am trying to prove that electric field inside spherical shell whose constant surface charge density \rho is zero. Usually, it is proved by using Gauss law (there is no charge enclosed inside gaussian surface so there is no electric field inside the sphere). But, whe i am trying to solve...

Homework Statement there are two nonconducting spherical shells fixed in place. shell 1 has uniform surface charge density 6.0 uC/m^2 on its outer surface and radius 3.0cm. shell 2 has uniform surface charge density 4.0 uC/m^2 on its outer surface and radius 2.0cm. the shell centers are...

Homework Statement Calculate §§ A.n dS if A= 2y(x^2)i-(y^2)j + 4xzk over the region in the first octant bounded by (y^2)+(z^2) = 9 and x = 2 Homework Equations The Attempt at a Solution Let n = (yj + zk) / 3 then A.n = [-(y^3) +4xz^3] / 3...

Homework Statement Figure 23-30 shows two nonconducting spherical shells fixed in place. Shell 1 has uniform surface charge density +6.0 µC/m2 on its outer surface and radius 3.0 cm. Shell 2 has uniform surface charge density -3.8 µC/m2 on its outer surface and radius 2.0 cm. The shell centers...

ok guys.. this question is regarding a spherical nucleus with radius R related to Gauss's Law... so where the electric field given as the following: E(r) = Q/4*pi*epsilon-nought(r^2+R^2) 1. the questions asks "why this model/behaviour for r>>R might be "reasonable" 2. what q(r) is needed...

An infinite line charge lies on the z-axis with l = 2 µC/m. Coxaial with that line charge are: an infinite conducting shell (with no net charge) with thickness 1 cm and with inner radius 2 cm and outer radius 3 cm, an infinite shell with a radius of 4 cm and with a net charge of -5 µC/m, and...

An infinite line charge lies on the z-axis with l = 2 µC/m. Coxaial with that line charge are: an infinite conducting shell (with no net charge) with thickness 1 cm and with inner radius 2 cm and outer radius 3 cm, an infinite shell with a radius of 4 cm and with a net charge of -5 µC/m, and...

I'm reading the book "Electricity and Magnetism: Vol. II" by Edward M. Purcell, in which he describes Gauss' law as stating that the flux through a closed surface is 4π times the enclosed charge (he uses the Centimeter-Gram-Second system). Later, he refers to Gauss' law as stating that the...

Homework Statement Use Gauss' law and symmetry to find electrostatic as a function of position for an infinite plane of charge. Let the charge lie in the yz-plane and denote the charge per unit area by \rho=\alpha*e^{-abs(x/b)} Homework Equations Q=triple integral of density The Attempt at...

Homework Statement A cylinder of length L and radius R is centered on the z-axis in a region where there is a uniform electric field of E i. Determine the flux for the fourth of the cylindrical surface where x > 0 and y > 0. Homework Equations \phi = \int E dS The Attempt at a...

Here's the good explanation. ---------- A surface is an abstract mathematical tool that we can use to explore various phenomena. What a surface is, is a shell around a region of space. Consider a common inflatable ball, such as a soccer ball, or a basketball. The "ball" itself is just a...

I need an explanation that relates the equation to what I learned about the dot product of two vectors being the magnitude of the parallelogram formed by the two vectors in 2D or similarly by the paralleliped formed by three vectors in 3D. I want to know for instance if the resultant is...

Homework Statement A long, thin, straight wire of length L has a positive charge Q distributed uniformly along it. Use Gauss' Law to show that the electric field created by this wire at a radial distance r has a magnitude of E = λ/(2πεor), where λ = Q/L. (Hint: For a Gaussian surface, use a...

Hi everybody... I am studying the theory hall sensor for magnetic particle testing...It is a usually techinque non destructive for aeronautic application..In one paper i have read "the hall sensor respose is proportional to the sine of the angle between B and the plane of the hall sensor"..The...

1. The Question An isolated conductor of arbitrary shape has a net charge of +10\times10^{-6}C. Inside the conductor is a cavity within which is a point charge q = +3\times10^{-6}C. What is the charge on the outer surface of the conductor? 2. The attempt at a solution On cavity wall...

Two problems one that I have some idea about solving, the other I have no idea at all about where to start. 1. Find the surface integral of E . dS where E is a vector field given; E = yi - xj + 1/3 z3 and S is the surface x2 + z2 < r2 and 0 < y < b Well Gauss' theorum would be the place...

Homework Statement A linear charge lambda = 10^-11 C/m is uniformly distributed along a thin nonconductive rod of length L = 0.5 m. Use Gauss' Law to calculate the field at a distance of r = 0.1 m from the charged rod. Homework Equations ∮E.da = Q/ε_0 The Attempt at a Solution Hi...

Homework Statement Assuming that an infinitely long line charge of 50(pC/m) parallel to the y-axis at x=2(m) and z=1(m), determine the electric intensity at the point (-1, 5, -3). The answer given : -0.18(ax0.6 + az0.8)(V/m)Homework Equations Electric field intensity due to an infinite...

Hello all. I am designing a Gauss jordan elimination program using c++. I need a little help to code this as I am not too familiar with arrays and the operations you can perform on them. The first question I have is how would I swap rows? I know its probably really simple but I cannot find...

Homework Statement A 2 C charge is spread uniformly in a hollow sphere with a radius of 50 cm. a) What is the electric flux? b) What is the magnitude and direction of an electric field 200 cm away? Homework Equations Electric flux = q/(permittivity of free space) E = q/4(pi)(permittivity...

Is it possible to find the mass of the Earth based on the Earth's volume mass density, roe = A-Br=R, where A = 1.42 x 104 kg/m3, B = 1.16 x 104 kg/m3, and Earth’s radius R = 6.370 x 106 m I know that based on Gauss Law that (closed integral) g x da = -4Gmin, where g is the total electric...

Is it possible to find the mass of the Earth based on the Earth's volume mass density, roe = A-Br=R, where A = 1.42 x 104 kg/m3, B = 1.16 x 104 kg/m3, and Earth’s radius R = 6.370 x 106 m I know that based on Gauss Law that (closed integral) g x da = -4Gmin, where g is the total electric field...

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...

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...