1 A Strange Dipole Consider the distribution of charges pictured below. In this problem we will calc'Ldate the electric eld ofthis distribution on the ptiw z-axis and approximate its behavior far from the origin. (a) Calculate [lpts] Use superposition to nd an exact expreion for the electric eld at an arbitrary point on the zaxis with z :5 i' (h) Simplify [511135] Pull out a factor a from your expression from {a}. Your answer should now look like: - hr, = Ez...) There should be three terms in the parenthesis. {e} Approximate [lpts] We will now approximate our answer in the limit that z :22} 13 or equivalently % {