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- The smallest discrete quantity of charge is $\frac{1}{3}e$.
- In an isolated system, the net charge will always remain constant.
# Electric Force
# Coulomb's Law
- 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:
$$ \vec{F_{12} = \vec{r}k\frac{q_1q_2}{r^2}} $$
$$ \vec{F}_{12} = \vec{r}k\frac{q_1q_2}{r^2} $$
- $\vec{r}$ 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 $q_2$
- $k$ is Coulomb's constant, or $8.99 * 10^9 \frac{Nm^2}{C^2}$
- $q_1$ and $q_2$ are the charges
- $r$ is the distance between those charges
- The resulting force will push away if $q_1q_2$ is *positive*, and attract if $q_1q_2$ is negative. This is where the rule "opposites attract, like repels" comes from
- Coulomb's law only holds exactly true for *point charges* i.e a proton