A charged object sits at the origin, generating an electric field vec$(E{)}_0$ a distance $d$ away. If the distance is doubled to $2d,$ the electric field:

$($a$)$ stays the same;

$($b$)$ has the same magnitude but a different direction;

$($c$)$ drops to $\frac{E_0}{2}$;

$($d$)$ drops to $\frac{E_0}{4}$;

$($e$)$ increases to $2E_0.$