A current-carrying rod has a circular cross section with radius a and is centered on the z axis. If the total current I flowing up is distributed in proportion to the distance from the axis s, what is the volume current density vector J? If the total current I is flowing up the surface of the rod only, and distributed uniformly over that surface, what is the surface current density vector K?

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A current-carrying rod has a circular cross section with radius a and is centered on the z axis.

  1. If the total current I flowing up is distributed in proportion to the distance from the axis s, what is the volume current density vector J?
  2. If the total current I is flowing up the surface of the rod only, and distributed uniformly over that surface, what is the surface current density vector K?
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