vault backup: 2026-01-06 07:38:06
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- The smallest discrete quantity of charge is $\frac{1}{3}e$.
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- In an isolated system, the net charge will always remain constant.
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# Electric Force
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# Coulomb's Law
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- Two charges will exert a force on each other along the line joining them.
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- The magnitude of this force is proportional to the *product of the charges* and inversely proportional to the to the $\sqrt{dist}$.
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- The equation to determine the force between two charges is as follows:
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$$ \vec{F_{12} = \vec{r}k\frac{q_1q_2}{r^2}} $$
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$$ \vec{F}_{12} = \vec{r}k\frac{q_1q_2}{r^2} $$
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- $\vec{r}$ is a unit vector pointing from charge 1 to charge 2
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- $k$ is Couloumb's constant, or $8.99 * 10^9 \frac{Nm^2}{C^2}$
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- $q_1$ and $q_2$
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- $k$ is Coulomb's constant, or $8.99 * 10^9 \frac{Nm^2}{C^2}$
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- $q_1$ and $q_2$ are the charges
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- $r$ is the distance between those charges
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- 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
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- Coulomb's law only holds exactly true for *point charges* i.e a proton
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