Gauss Definition and 622 Threads

  1. T

    Is Gauss' Law Wrong? Evidence & Explanation

    [FONT=System]undefinedundefinedundefinedSuppose there is a charged HOLLOW CONDUCTOR in an Electric-field-free region. Since there is no electric field acting on that conductor, thus all the electric charges will distribute themselves on the surface, as predicted by Gauss’ law. Gauss’ law can be...
  2. H

    Gauss' Law & 2 Charged Cylinders

    Hi, could someone offer some advice on the following problem: ===== Q. Using Gauss' law, obtain expressions for the electric field and potential in the space between two thin, hollow, concentric conducting cylinders, of radii a and b, with the outer cylinder connected to earth ===== I...
  3. R

    Solving for Electric Field with Gauss' Law

    I have to find the electric field everywhere using Gauss’ law in differential form. Charge density is \rho = \rho_{0}r^{3} for a<r<b and 0 otherwise in spherical symmetry and then in cylindrical coordinates \nabla \cdot D=\rho I have look for D and then just get E = D/epsilon. D is where...
  4. G

    Safe Gauss Levels: Human Limit & Everyday Exposure

    All the articles and books I have read conflict with one another in safe levels of Gauss. I understand the Human limit is 2000 Gauss. Does anyone know what levels of Gauss are acceptable for everyday exposure? As I said, all reports I have read conflict one another.
  5. T

    Integrate this without gauss theorem

    Hi guys, I want to solve this integral without using gauss theorem to convert from double to triple integral, my problem here is to find a general way for setting the differential surface part (ds) from the integral if \vec{F} was a vector field defined as: \vec{F} = x^3\vec{i} +...
  6. T

    Primes in ring of Gauss integers - help

    Primes in ring of Gauss integers - help! I'm having a very difficult time solving this question, please help! So I'm dealing with the ring R=\field{Z}[\zeta] where \zeta=\frac{1}{2}(-1+\sqrt{-3}) is a cube root of 1. Then the question is: Show the polynomial x^2+x+1 has a root in F_p if...
  7. 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...
  8. J

    Gauss' Law in Dielectrics Part II

    OK I just want to start from the beginning and try to get the first part of this problem so I can get what is going on in my head and understand it. Here's the problem: A point charge q is imbedded in a solid material of dielectric constant K. A) Use Gauss's law as stated in equation...
  9. J

    How Does Gauss's Law Apply to Dielectrics with Embedded Point Charges?

    This problem is also giving me a lots and lots of trouble, and I don't even know where to begin. A point charge q is imbedded in a solid material of dielectric constant K. A) Use Gauss's law as stated in equation \oint{K \vec{E} \cdot \vec{A}} \;=\; \frac{Q_{free}}{\epsilon_{0}} to find...
  10. A

    How Do I Solve These Gauss' Law Problems for a Cylindrical Shell?

    I'm stuck on two problems. I hope someone can help me. Here they are... 1) For 1a I thought Q would be Q=\rho \pi L (b^2-a^2) but since \rho=\frac{k}{r} so Q=\frac {k \pi L (b^2-a^2)}{r}. After being stumped on 1a I'm not sure how to go about 1b. 2) I've derived about 4 equations for this...
  11. R

    Calculating Solid Angles for Gauss' & Ampere's Laws

    Can anyone help me in understanding solid angles and how to work them out in the context of Gauss' Law and Amperes Law calculations
  12. 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...
  13. 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...
  14. S

    Calculating Electric Flux Through a Square: Is Gauss' Law the Only Method?

    This is SUPPOSED to be easy but i seemingly find find it hard... A poin charge of +Q is places a distance d/2 above the centre of a square surface of side d. Find the electric flux through the square. so i know that E dA = EA (because the flux through the square is all at 90 degree...
  15. Cyrus

    How Does Charge Distribution Work on a Sphere According to Gauss' Law?

    Hello, Question again. If we have a conductor, then according to Gauss, all the charged particles will migrate to the surface where they are furthest away from each other. This seems to make logical sense. But what if I have a charged sphere and now every particle on the surface of the...
  16. K

    What Is the Electric Field Near Charged Objects?

    I need some guidance if anyone can help me! 1. A small cube of volume 8.0 cm^3 is .30 cm from a metal sphere that has charge 2.00uC. If the cube is empty, what is the total flux through it? I tried finding the flux of the sphere as if it was a point charge but I don't know where to go...
  17. J

    Quick question regarding gauss' law

    A long coaxial cable consists of an inner cylindrical conductor with radius a and an outer cylindrical shell of inner radius b and outer radius c. The cylindrical shell is mounted on insulating supports and has no net charge. The inner cylinder has a uniform positive charge per unit length...
  18. G

    What is the concept of Gauss' physical law?

    Can someone put into plain english the following points: 1. What is the concept of Gauss' physical law. 2. Why is the rotation of an electric field zero. Cheers
  19. G

    Solving Vector Field Flux with Gauss & Stokes

    Hi folks, I'm working on the following problem... Show that the flux of the vector field \nabla \times A through a closed surface is zero. Use both Gauss and Stokes. Where can I begin? Thanks...
  20. S

    Experimenting with Magnets and Marbles: Relation to Gauss Rifle Guns

    i'm sure some of you are familiar with a gauss rifle. I'm doing an experiment using the magnets and marbles. does this at all relate to the gauss rifle guns.thanks
  21. D

    Solving Gauss' Law Problem with J.J. Thomson Model of Hydrogen Atom

    I'm having trouble with the following problem: An early (incorrect) model of the hydrogen atom, suggested by J.J. Thomson, proposed that a positive cloud of charge +e was uniformly distributed throughout the volume of a sphere of radius R, with the electron an equal-magnitude negative point...
  22. T

    Karl Gauss: Finding His Works Online & in Books

    Where can I find the works of Karl Gauss, online or in a book.
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