A thin rod of length and uniform charge per unit length *λ* 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 k

_{e}*λ*sin*θ*_{0}/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

_{e}*λ*/d.