A thin rod of length { and uniform charge per unit length A lies along the xaxis as shown in the figure below.(a) Show that the electric field at P, a distance d from the rod along itsperpendicular bisector, has no x component and is given by E= 2 ke d sin Oold.(Do this on paper. Your instructor may ask you to turn in this work.)(b) Using your result to part (a), show that the field of a rod of infinitelength is E = 2 k, Àva. (Do this on paper. Your instructor may ask you to turnin this work.)

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A thin rod of length { and uniform charge per unit length À lies along the x axis as shown in the figure below. (a) Show that the electric field at P, a distance d from the rod along its perpendicular bisector, has no x component and is given by E- 2 ke a sin dy/d. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Using your result to part (a), show that the field of a rod of infinite length is E- 2 k, Nd. (Do this on paper. Your instructor may ask you to turn in this work.)

A thin rod of length { and uniform charge per unit length À lies along the x axis as shown in the figure below. (a) Show that the electric field at P, a distance d from the rod along its perpendicular bisector, has no x component and is given by E- 2 ke a sin dy/d. (Do this on paper. Your instructor may ask you to turn in this work.) (b) Using your result to part (a), show that the field of a rod of infinite length is E- 2 k, Nd. (Do this on paper. Your instructor may ask you to turn in this work.)