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A uniformly charged rod of length L with a total charge Q is aligned along the x-axis with one end at the origin (r = 0.) 44. > X Xo (a) Calculate the electric field E(r) at the point To on the x-axis. Hint: (recall that dq = Adr 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/47cord. (Hint: use the approximation that (1 + 1)" = 1+ nr when I