A long rod, radius R, that has uniform positive charge density p is spun around its central axis with angular velocity w, as shown below, so that the charges follow circular paths centered on the axis. Current is the flow of charge, so we have rings of current of varying radius r. You may want to review the following relationships: Current density J = dI/dA= pv (from chapter 24!) and v=wr (from PHY 204!) This means that the rotating rod of charge is equivalent to a non-uniform current density J = pwr,
A long rod, radius R, that has uniform positive charge density p is spun around its central axis with angular velocity w, as shown below, so that the charges follow circular paths centered on the axis. Current is the flow of charge, so we have rings of current of varying radius r. You may want to review the following relationships: Current density J = dI/dA= pv (from chapter 24!) and v=wr (from PHY 204!) This means that the rotating rod of charge is equivalent to a non-uniform current density J = pwr,
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