Two point charges of equal magnitude are located along the *y* axis equal distances above and below the *x* axis, as shown in the figure below. Note: Assume a reference level of potential *V* = 0 at *r* = .

(a) Derive an expression for *V(x) / (k _{e}Q / a)*. (Use the following as necessary:

*x*and

*a*.)

V(x) |

(k_{e}Q/a) |

=

Plot a graph of the potential at points along the *x* axis over the interval -3*a* < *x* < 3*a*. You should plot the potential in units of *k _{e}Q*/

*a*. (Do this on paper. Your instructor may ask you to turn in this work.)

(b) Derive an expression for

*V(y) / (k*. (Use the following as necessary:

_{e}Q / a)*y*and

*a*.)

V(y) |

(k_{e}Q/a) |

=

Let the charge located at -*a* be negative and plot the potential along the *y* axis over the interval -4*a* < *y* < 4*a*. (Do this on paper.