Charge $q_1$ produces an electric field of magnitude $E$ at a distance of $r_1.$ Charge $q_2$ produces the same magnitude of electric field at a distance of $r_2=2r_1.$ How is $q_2$ related to $q_1$ if both charges have the same sign?

$q_2=2q_1$

$q_2=4q_1$

$q_2=\frac{q_1}{4}$

$q_2=\frac{q_1}{\sqrt[\phantom{2}]{2}}$

$q_2=\frac{q_1}{2}$

$q_2=\sqrt[\phantom{2}]{2}{q}_1$