Two $8\mathrm{.}00$C charged particles are located on the x axis. One is at x $=1\mathrm{.}00$ m$,$ and the other is at x $=-1\mathrm{.}00$ m$.$

$($a$)$ Determine the electric field on the y axis at y $=0\mathrm{.}500$ m$.$

$0$ N$/$C i $+51522$ N$/$C j

$($b$)$ Calculate the electric force on a $-3\mathrm{.}00$C charge placed on the y axis at y $=0\mathrm{.}500$ m$.$

$0$ N i $+-\mathrm{.}154$ N j