Visualizing {+1-1} DiWires for UM-StL Physics 112

  • Cite/Link:
  • This release dated 27 Feb 1996 (Copyright by Phil Fraundorf 1988-1996)
  • At UM-StLouis see also: cme, infophys, physics&astronomy, programs, stei-lab, & wuzzlers.
  • Accel-1D pages: derivations, slow-example, fast-example&twins, x-tv Plots, x-ct Plots, 4-vectors, rap.
    Electric Potential and Field Magnitude around a {+1-1} Pair of Parallel Wires
    Here we've used 1 [coulomb/meter] charges separated by 1 [meter]. The peaks are truncated because the Mathematica software with which these were generated chooses scale maxima and minima for such plots by default automatically. Below left: The electric potential is in [volts] or [joules per coulomb]. If you compare this to the potential around a dipole, note that the decrease in potential is much less rapid here (i.e. it is logarithmic rather than 1/r in the absence of more than one charge). Below right: The electric field magnitude is in [volts per meter] or [newtons per coulomb]. Again, the field falls off less rapidly than for a dipole (i.e. as 1/r rather than 1/r^2).

    Electric Potential and Field Magnitude w/EquipPotential Lines & Field Arrows
    Below left: Note that field arrows are always perpendicular to the equipotential lines in their vicinity. Below right: Note that except for the direction of the arrows, the field magnitude shows bilateral symmetry.
    Note: Crazy colors and bright red are "OFF SCALE" regions in the plot. Otherwise, colors run from orange (MIN) up to magenta (MAX). To figure what MIN and MAX mean, you may need to look at the 3D plots at the top.

    Field Azimuthal Angle Phi w/Equipotential Lines & Field Arrows
    Note that Phi=0 or 360 degrees (red) points to the left, while the other colors correlate with different directions for the field arrows superposed on the image. If you compare this to the field around a dipole, note that the angle changes more slowly here in the region BETWEEN the two charges.

    Visualizing some other possible exam problems: DiPole, {+2-1} Triplets.