Chapter 23, Problem 44P

(a)

To determine

The proof for the statement that, the electric field at point $P$ at a distance $d$ from the rod along its perpendicular bisector is $E=\frac{2k_{\text{e}}\lambda \sin {\theta }_0}{d}$.

(b)

To determine

The proof for the statement that the field of a rod of infinite length is $E=\frac{2k_{\text{e}}\lambda }{d}$.