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Statement of a problem № 658

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A thin straight rod of length 2a carrying a uniformly distributed charge q is located in vacuum. Find the magnitude of the electric field strength as a function of the distance r from the rod's centre along the straight line (a) perpendicular to the rod and passing through its centre; (b) coinciding with the rod's direction (at the points lying outside the rod). Investigate the obtained expressions at r >> a.

Solution:
A thin straight rod of length 2a carrying a uniformly distributed charge q is lo

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