Problem 1.91: A thin rod of length L and uniform charge per unit length lies along the x-axis and is symmetrically placed about the origin. (a) Show that the field along the y-axis is in the y direction and is given by E= 2k sin(0.)/y. -L/2 (b) For an infinitely long such charge distribution along the x-axis, show that the field along the y-axis is in the y direction and is given by E= 2k/y. dE 0 I X = y dx total L +L/2