Question

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

b. Set up an integral that would allow you to determine the electrical potential at point P.

c. Determine constant a in terms of L, Q, and fundamental constants. What are the units of a?

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