Recent content by zweebna

  1. Z

    Finding the magnetic field of a wave from the E field

    Homework Statement Many sources of electromagnetic waves (stars and light bulbs, for example) radiate in all directions. A simple example of the electric field for a monochromatic electromagnetic wave produced by a spherical source is $$E(r,\theta,\phi,t)=A\frac{\sin \theta}{r} \big(\cos...
  2. Z

    Magnetic field in an offset hole in a conductor cylinder

    Homework Statement A long (infinite) wire (cylindrical conductor of radius R, whose axis coincides with the z axis carries a uniformly distributed current I in the +z direction. A cylindrical hole is drilled out of the conductor, parallel to the z axis, (see figure above for geometry). The...
  3. Z

    Method of images: infinite line of charge above plate

    Ah so since the line is along ##x=0## would I just ignore the y component? So they are ##\sqrt{x^2+(d+z)^2}## and ##\sqrt{x^2+(d-z)^2}##?
  4. Z

    Method of images: infinite line of charge above plate

    Ah you're right. So the first time is ##\sqrt{x^2+y^2+(d+z)^2}## and the second term is ##\sqrt{x^2+y^2+(d-z)^2}##? Thank you I think I have it.
  5. Z

    Method of images: infinite line of charge above plate

    So if the point where we're computing potential is ##0<z<d##, then in the first term it would be ##d-z## and in the second term it would be ##z+d##?PS What forum should this be in? Since posting it's been moved from intro to advanced, back to intro, and now it's back in advanced.
  6. Z

    Method of images: infinite line of charge above plate

    Homework Statement An infinite line of charge with charge density λ is parallel to and a distance d above an infinite grounded conducting plate. What is the charge density σ that is induced in the plate? For simplicity, consider the line of charge to lie along the line x = 0. Homework...
  7. Z

    Energy per unit length of a cylindrical shell of charge

    Homework Statement "An infnitely long hollow cylinder of radius ##a## has surface charge density ##σ_a##. It is surrounded by a coaxial hollow cylinder of radius ##b## with charge density ##σ_b##. The charge densities are such that the total confguration is electrically neutral. Using whatever...
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