A thin rod of length and uniform charge per unit length A lies along the x axis. Show that the electric field at P, a distance y from the rod along its perpendicular bisector, has no x component and is given by E-2k sin Go/y. (b) Using your result to part (a), show that the field of a rod of infinite length is E-2k.A/y. (Suggestion: First, calculate the field at P due to an element of length dx, which has a charge A dx. Then, change variables from x to 0, using the relationships x - y tan 6 and dx -y sec² do, and integrate over 8.) 00 y 1 0 dx