A rod of length 2a carries a linear charge density that is proportional to the square of the distance from the center of the rod. The total charge of the rod is Q. 1.1. Find the electric field at a perpendicular distance x from the center of the rod (as indicated in the figure) in terms of the a, 1.2. Find the behavior of the electric field very far from the rod. 1.3. Find the behavior of the electric field if the rod is very long. JE x S + (x + a)3/2 dx= sinh () + constant