In this question, we are required to apply Coulomb's law to evaluate the forces between charges.

Coulomb's law:

$\overline{){\mathbf{F}}{\mathbf{=}}\frac{\mathbf{k}{\mathbf{q}}_{\mathbf{1}}{\mathbf{q}}_{\mathbf{2}}}{{\mathbf{r}}^{\mathbf{2}}}}$

A charge 3*q* is at the origin, and a charge -2*q* is on the positive *x-axis* at *x *= *a*. Where on the *x*-axis would you place a third charge with charge *q* so it would experience no net electric force?

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