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184_notes:dq [2020/08/20 16:01] – dmcpadden | 184_notes:dq [2021/05/26 13:36] (current) – schram45 | ||
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- | === Charge on a line === | + | ==== Charge on a line ==== |
For a **1D uniform charge density** (such as lines of charge), we use the variable $\lambda$, which has units of $\frac{C}{m}$ (coulombs per meter). You can calculate $\lambda$ by taking the total charge that is spread over the total length: | For a **1D uniform charge density** (such as lines of charge), we use the variable $\lambda$, which has units of $\frac{C}{m}$ (coulombs per meter). You can calculate $\lambda$ by taking the total charge that is spread over the total length: | ||
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- | === Charge on a surface === | + | ==== Charge on a surface |
For a **2D uniform charge density** (such as sheets of charge), we use the variable $\sigma$, which has units of $\frac{C}{m^2}$ (coulombs per meter squared). You can calculate $\sigma$ by taking the total charge that is spread over the total area: | For a **2D uniform charge density** (such as sheets of charge), we use the variable $\sigma$, which has units of $\frac{C}{m^2}$ (coulombs per meter squared). You can calculate $\sigma$ by taking the total charge that is spread over the total area: | ||
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You can write the " | You can write the " | ||
- | === Charge in a volume === | + | ==== Charge in a volume |
Similarly, for a **3D uniform charge density** (such as a sphere of charge), we use the variable $\rho$, which has units of $\frac{C}{m^3}$ (coulombs per meter cubed). You can calculate $\rho$ by taking the total charge that is spread over the total volume: | Similarly, for a **3D uniform charge density** (such as a sphere of charge), we use the variable $\rho$, which has units of $\frac{C}{m^3}$ (coulombs per meter cubed). You can calculate $\rho$ by taking the total charge that is spread over the total volume: | ||
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====Examples==== | ====Examples==== | ||
- | [[: | + | * [[: |
+ | * [[: | ||
+ | * Video Example: Two Segments of Charge | ||
+ | {{youtube> | ||
- | [[: |