Problem 1: A thin, non-conducting rod of length L carries a line charge 2(x) that varies with distance according to M(x)=Ax2 (in SI units) as shown in the figure. Note that A is a positive constant. Point P is located a distance d from the end of the rod as shown. a. What are the SI units of the constant A? b. Find the total charge Q on the rod. c. Find the electric field at point P due to the line charge. Note that you will not need the answer to part b to solve this. y P X L dProblem 1: A thin, non-conducting rod of length L carries a line charge 2(x) that varies with distance according to M(x)=Ax2 (in SI units) as shown in the figure. Note that A is a positive constant. Point P is located a distance d from the end of the rod as shown. a. What are the SI units of the constant A? b. Find the total charge Q on the rod. c. Find the electric field at point P due to the line charge. Note that you will not need the answer to part b to solve this. y P X L dProblem 2: A non-conducting rod has length 2L. The left half of the rod has a negative uniform linear charge density -20, and the right half has a positive uniform linear charge density +ho (no is a positive constant). a. Find the electric field at point P (located a distance d from the rod). b. Suppose the rod is now turned into an infinitely long rod (with two semi-infinite halves) with the same linear charge density as before. What would the electric field be at point P?