6. Consider a line charge with uniform charge density A lying on the x-axis from r = -L to r = 0. a) Determine the electric field a distance y above the right end of the line charge (point P₁ in the figure) and a distance x to the right of the line charge (point P2 in the figure). x=-L P₁ P2 I b) In lecture you saw the electric field of an infinite line charge. Now we will consider a “semi-infinite" line charge; that is, a line charge that is infinite on only one side. In other words, suppose we take the left end of the line charge to be infinitely far to the left, but the line charge still stops at x=0. What is the electric field at P₁ and P2 in this case? c) Use your result from part b) and superposition to derive the electric field of an infinite line charge. (Just worry about point P₁ for this part.)