The ionic molecule potassium bromide $($KBr$),$ made up of a positive potassium ion

K

$+$

of charge

$+$

$$

$=$

$1\mathrm{.}60$

$$

$10$

$$

$19$

$$C

and a negative bromine ion

$($

Br

$$

$)$

of charge

$$

$$

$=$

$$

$1\mathrm{.}60$

$$

$10$

$$

$19$

$,$ has an electric dipole moment of

$3\mathrm{.}50$

$$

$10$

$$

$29$

$$

C

$$

m

$.$

$($a$)$ Calculate the distance between the two ions. $($b$)$ At a certain point along the axis that connects the ions, the electric field due to the KBr molecule has magnitude

$8\mathrm{.}00$

$$

$10$

$4$

$$

N$/$C

$.$ How far from the center of the molecule is this point?