A uniformly charged rod of length L with a total charge Q is aligned along the x-axis with one end at the origin (x = 0.) L ->X Xo (a) Calculate the electric field E(x) at the point ro on the x-axis. Hint: (recall that dq = Ada where A is the linear charge density (b) Show that your result in (a) approaches the E-field of a point charge Q in the limit that To > > L, that is, the ratio of L/to = 0. (c) Finally show that your result in (a) can be written as the E-field from a point charge Q at a distance to as in (b), plus a "dipole" correction of the form QL/4TEOTO. (Hint: use the approximation that (1+ z)" = 1 + nx when I