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A rod (length L, total charge +Q) with charge density lambda = a(y+b), where a and...

A rod (length L, total charge +Q) with charge density lambda = a(y+b), where a and b are constants, is positioned along the y-axis such that the upper end is at the origin.

(a) Determine the electric field (magnitude and direction) at point P, on the y-axis, distance b from the upper end of the rod

(b) Set up, but do not integrate, an integral that would allow you to determine the electric potential at point P.

(c) Extra credit: Determine constant a in terms of L, Q, and fundamental constants. What are the units of a?

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