Homework for Static Fields

  1. (TotalCurrentGEM55) Calculate surface current density $K$ and volume current density $J$ for a wire carrying total current $I$, from Griffiths E&M book.

    A current $I$ flows down a wire of radius $a$.

    1. If it is uniformly distributed over the surface, give a formula for the surface current density $\Vec K$.

    2. If it is distributed in such a way that the volume current density, $|\Vec J|$, is inversely proportional to the distance from the axis, give a formula for $\Vec J$.

    3. For the surface current you found in Problem 1.a, find the magnetic vector potential at a distance $r$ from the center of the wire with length of $2L$.


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