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A long cylinder of charge q has a radius a. The charge density within its volume, p, is uniform (Figure). Describe the form of the electric field generated by the cylinder. Find the electric field strength at a distance r from the axis of the cylinder in the regions (i) r > a and (ii) 0 <r<a.
If a non-relativistic electron moves in a circle at a constant distance R from the axis of the cylinder, where R > a, find an expression for its speed.
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