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184_notes:dq [2018/09/12 15:39] – dmcpadden184_notes:dq [2021/05/26 13:36] (current) – schram45
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 Sections 15.1-15.2 in Matter and Interactions (4th edition) Sections 15.1-15.2 in Matter and Interactions (4th edition)
  
-[[184_notes:linecharge|Next Page: Line of Charge]]+/*[[184_notes:linecharge|Next Page: Line of Charge]]
  
-[[184_notes:line_fields|Previous Page: Building Electric Field and Potential for a Line of Charge]]+[[184_notes:line_fields|Previous Page: Building Electric Field and Potential for a Line of Charge]]*/
  
 ===== dQ and the $\vec{r}$ ===== ===== dQ and the $\vec{r}$ =====
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 [{{  184_notes:dl.png?50|Vertical "little bit of length", $dy$}}] [{{  184_notes:dl.png?50|Vertical "little bit of length", $dy$}}]
  
-=== 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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 [{{  184_notes:da.png?200|"Little piece of area", $dA$}}] [{{  184_notes:da.png?200|"Little piece of area", $dA$}}]
  
-=== 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 "little bit of area" in a variety of ways, depending on the shape of charge. You can write the "little bit of area" in a variety of ways, depending on the shape of charge.
  
-=== 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====
-[[:184_notes:examples:Week4_tilted_segment|A Tilted Segment of Charge]]+  * [[:184_notes:examples:Week4_tilted_segment|A Tilted Segment of Charge]] 
 +  * [[:184_notes:examples:Week4_two_segments|Two Segments of Charge]] 
 +    *  Video Example: Two Segments of Charge 
 +{{youtube>BiqTwMrD774?large}}
  
-[[:184_notes:examples:Week4_two_segments|Two Segments of Charge]] 
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  • by dmcpadden