(2) A finite line of charge is oriented along the z-axis and centered at the origin. It has a total charge Q and a total length a. We are going to work to find the electric field at the point (To, 0, 0). (a) Make a symmetry argument as to why each of these components of the field are zero or not: [6pts] (i) x-component (ii) y-component (ii) z-component (b) Write an expression for ~, ), and r for the purposes of calculating the electric field of this line at the field point in terms of given parameters and coordinates. [6pts] (c) Write an expression for dq in terms of given parameters and coordinates. [2pts] (d) What is the electric field of this line of charge at the given field point? [4pts] (e) In the limit where To > > a, what is the electric field of this line? [2pts]