Chapter 23, Problem 32P

(a)

To determine

The sketch of potential function $V\left(x\right)$ versus $x$ for all points on the $x$ -axis.

(b)

To determine

The position of points if $V=0$ is on the $x$ -axis.

(c)

To determine

The position of points if the electric field is zero on the $x$ -axis.

(d)

To determine

The work required to bring a third charge $+e$ to the point $x=\frac{1}{2}a$ on the $x$ -axis.