Gauss law Definition and 181 Threads

  1. S

    Gauss Law and Electrostatic Field

    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...
  2. A

    How Is Charge Distributed in a Conductor with an Internal Cavity?

    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...
  3. S

    Electrostatic field ( Gauss Law )

    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...
  4. B

    Finding Earth's Mass Using Gauss Law

    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...
  5. B

    Calculate Earth's Mass Using Gauss Law & Density

    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...
  6. B

    How Do You Determine the Mass of Earth Using Gauss's Law for Gravitation?

    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...
  7. E

    How Does Charge Distribution Affect Electric Field Inside a Shell?

    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
  8. J

    Is Gauss' Law Accurate for Point Charge Divergence in Electrostatics?

    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...
  9. I

    Is Gauss' Law Applicable to Gravitational Fields?

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

    Question on Gauss law & charged disks

    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...
  11. A

    Charge inside a charged sphere (Gauss law)

    Suppose we have a sphere with a uniform surface charge. According to Gauss law the electric field inside such a sphere is zero. So if I put a charge ( let me call it Q from here) in it, it wouldn't experience any force, would it? What I don't understand is this: the charge Q we actually put...
  12. M

    Gauss Law - Conducting cylindrical shell

    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...
  13. G

    How Does Distance Affect Electric Field Calculation Above a Charged Sheet?

    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...
  14. P

    Solving Gauss Law Problem 1: Electric Field of a Charged Copper Shell and Wire

    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...
  15. G

    How Is Gauss's Law Applied to Calculate Deflection Angle in Charge Interaction?

    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...
  16. G

    Angle of Deflection for a Moving Charge Passing a Fixed Charge

    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...
  17. K

    How Does Gauss' Law Apply to the Electric Field Around a Charged Metal Ball?

    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 /...
  18. G

    Solving Gauss Law Problems: Understanding Flux & Point Charges

    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...
  19. rohanprabhu

    Gauss Law Anomaly: Potential Across a Capacitor

    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...
  20. P

    Explaining Gauss Law: Easy Guide

    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.
  21. F

    Electric field between two wires and gauss law

    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...
  22. N

    Can Gauss' Law Determine Intensity in Complex Spherical Charge Distributions?

    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...
  23. B

    Using Gauss Law to Solve a Planar Slab of Charge Problem

    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...
  24. S

    Gauss Law and a hollow spherical shell

    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...
  25. P

    The Parallel Plate Capacitor and Gauss Law

    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.
  26. P

    The Parallel Plate Capacitor and Gauss 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...
  27. R

    Electric Field Magnitude of Cylinder w/ Uniform Charge

    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.
  28. G

    What is the Physical Significance of Curl in Gauss Law?

    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 ?
  29. M

    Solving Gauss Law Problem: Electric Field on Hollow Sphere

    Hi, I have this problem in my Physics Book: The electric field everywhere on the surface of a hollow sphere of radius 0.75m is found to be 890 N/C and points radially toward the center of the sphere, (a) What is the net charge within the sphere's surface? (b) What can you tell about the...
  30. S

    Damn Gauss law is so confusing

    Positive charge is uniformly distributed throughout a non conducting cylindrical shell of inner radius R and outer radius 2R. What radial depth beneath outer surface of the charge distribution is the elctric field strength equal to one half the surface value? errr e0 = epsilon 0 the...
  31. S

    Still more problems with Gauss Law

    Ok I'm realllly unsure about this! If a spherical cavity of radius 3.66cm in a piece of metal (kind of cube, but not a perfect cube) has a charge of +Q at it's centre and there is a point P1 located half way between the spherical cavity and it's surface and a point P2 located in the metal...
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