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(Solved): ME02: Nonuniformly Charged Finite Rod off Axis [30 points]. Consider a finite rod of length L = 1 m. ...
ME02: Nonuniformly Charged Finite Rod off Axis [30 points]. Consider a finite rod of length L = 1 m. The rod is characterized by a nonuniform linear charge distribution with density \lambda varying linearly with distance l on the rod such that \lambda (l = 0) = 0 (i.e., at the very beginning of the rod) and \lambda (l = 2L) = 2kL (i.e., at the very end of the rod); the coefficient k = 2 C m-2 . Find the electrostatic field at a point P aligned with the ending edge of the rod and at a distance( L)/(2) from that edge (see figure). Basically, this observation point P is on a circle (of radius( L)/(2)) normal to the rod and that has the ending edge of the rod as center. When viewed from top, the position of P on the circle forms an angle 3(\pi )/(5), as indicated in the figure. After setting up the integral as we have done in class, solve the integral using, e.g., WolframAlpha but after substituting all given numerical value