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Problem 10 A vertical line of charge starts at y = -a and ends at y...

Problem 10 A vertical line of charge starts at y = -a and ends at y = 0. A charge Q is uniformly distributed on this line. The point P1 is located at the coordinate (x, 0), where x is a positive number.

(a) Draw a clear picture of the situation, including the point P1. Use this picture to help explain if there are any symmetries you can use to determine the electric field at point P1.

(b) Find the x- and y-components of the electric field at point P1. If either component is zero, be sure to make that clear.

(c) Determine the angle of the electric field at P1 when x = 2a.

(d) Suppose you also had a point charge Q. Is there a location where this point charge can be placed so that the net electric field at the point P1 (due to both the line charge and the point charge) would be zero? If so, briefly explain, using words and equations, how you would determine this location.

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