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Statement of a problem № 3707

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A long cylinder of charge q has a radius a. The charge density within its volume, s, is uniform (Fig. 11.11). 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.

Solution:
A long cylinder of charge q has a radius a. The charge density within its volume

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