44. A thin rod of length l and uniform charge per unit lengthλ lies along the x axis as shown in Figure P23.44. (a) Show that the electric field at P, a distance d from the rod along its perpendicular bisector, has no x omponent and is given by E = 2keλ sin θ0/d. (b) What If? Using your result to part (a), show that the field of a rod of infinite length is E = 2keλ/d.

 44. A thin rod of length l and uniform charge per unit lengthλ lies along the x axis as shown in Figure P23.44. (a) Show that the electric field at P, a distance d from the rod along its perpendicular bisector, has no x  omponent and is given by E = 2keλ sin θ0/d. (b) What If? Using your result to part (a), show that the field of a rod of infinite length is E = 2keλ/d.