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A disk of radius a carries a non-uniform surface charge density given by = 0(r / a), where 0 is a constant. (a) Find the
A disk of radius a carries a non-uniform surface charge density given by = 0(r / a), where 0 is a constant. (a) Find the potential at an arbitrary point on the disk axis, a distance x from the disk center. (b) Use the result of (a) to find the electric field on the disk axis, and (c) show that the field reduces to an expected form for x for all a.
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