What charge must each have in order to maximize the electric force between them? Enter your answers numerically separated by a comma. q_(1),q_(2)=

To maximize the electric force between two charges, they must have the same sign. According to Coulomb's law, the electric force \( F \) between two point charges is given by:<br /><br />\[ F = k \frac{|q_1 q_2|}{r^2} \]<br /><br />where \( k \) is Coulomb's constant, \( q_1 \) and \( q_2 \) are the magnitudes of the charges, and \( r \) is the distance between the charges.<br /><br />For the force to be maximized, the product \( |q_1 q_2| \) should be maximized. This occurs when both charges are either both positive or both negative.<br /><br />Therefore, the charges must be:<br /><br />\[ q_1, q_2 = +, + \text{ or } -, - \]