# Electric Charge - Charges come in two varieties, positive and negative. - Net charge is the *algebraic sum* of an object's charges - Protons and electrons have the same magnitude of charge ($1e$) - The SI Unit of charge is the *Coulomb* (abbreviated C) - The smallest discrete quantity of charge is $\frac{1}{3}e$. - In an isolated system, the net charge will always remain constant. # Electric Force - Two charges will exert a force on each other along the line joining them. - The magnitude of this force is proportional to the *product of the charges* and inversely proportional to the to the $\sqrt{dist}$. - The equation to determine the force between two charges is as follows: $$ \vec{F_{12} = \vec{r}k\frac{q_1q_2}{r^2}} $$ - $\vec{r}$ is a unit vector pointing from charge 1 to charge 2 - $k$ is Couloumb's constant, or $8.99 * 10^9 \frac{Nm^2}{C^2}$ - $q_1$ and $q_2$