Coulomb's law:

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

diagonal squared = 2L^{2}

F_{12} = kq^{2}/L^{2}

F_{23} = kq^{2}/L^{2}

F_{24} = kq^{2}/(2L^{2})

$\begin{array}{rcl}{\mathbf{r}}_{\mathbf{25}}& \mathbf{=}& \frac{\sqrt{\mathbf{2}}\mathbf{\xb7}\mathbf{L}}{\mathbf{2}}\\ {\mathbf{\left(}{\mathbf{r}}_{\mathbf{25}}\mathbf{\right)}}^{\mathbf{2}}& \mathbf{=}& \frac{\mathbf{2}{\mathbf{L}}^{\mathbf{2}}}{\mathbf{4}}\\ & \mathbf{=}& \frac{{\mathbf{L}}^{\mathbf{2}}}{\mathbf{2}}\end{array}$

Four equal positive point charges, each of charge 5.7 µC , are at the corners of a square of side 9.2 cm.

What charge should be placed at the center of the square so that all charges are at equilibrium?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Coulomb's Law (Electric Force) concept. You can view video lessons to learn Coulomb's Law (Electric Force). Or if you need more Coulomb's Law (Electric Force) practice, you can also practice Coulomb's Law (Electric Force) practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Flitsiyan's class at UCF.