184_notes:pc_efield

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184_notes:pc_efield [2021/01/26 18:19] – [Electric Field Vectors] bartonmo184_notes:pc_efield [2021/05/26 13:39] (current) – schram45
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 ==== Electric Field Vectors ==== ==== Electric Field Vectors ====
  
-[{{  184_notes:efieldvectora.png?250|Electric Field at observation point A from Q}}]+[{{ :184_notes:efieldvectora_new.png?250|Electric Field at observation point A from Q}}]
 To understand the electric field around a point charge (or any other distribution of charge), we will often draw vectors around the charge called "electric field vectors" or just "field vectors." **The magnitude or length of these vectors represents the magnitude of the electric field, and the direction of the vector points in the same direction as the electric field** (shown with the dashed blue $\vec{E_A}$ arrow in the figure on the right). To understand the electric field around a point charge (or any other distribution of charge), we will often draw vectors around the charge called "electric field vectors" or just "field vectors." **The magnitude or length of these vectors represents the magnitude of the electric field, and the direction of the vector points in the same direction as the electric field** (shown with the dashed blue $\vec{E_A}$ arrow in the figure on the right).
  
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 $$\vec{E_A} = \frac{1}{4 \pi\epsilon_0}\frac{Q}{d^2} \hat{y}$$ $$\vec{E_A} = \frac{1}{4 \pi\epsilon_0}\frac{Q}{d^2} \hat{y}$$
  
-[{{  184_notes:efieldvectors.png?200|Electric Field from a point charge}}]+[{{ :184_notes:efieldvectors_new.png?250|Electric Field from a point charge}}]
 So we draw the electric field vector at Point A pointing straight up. If you follow the same steps for Points B-D, you find an important pattern from drawing this electric field vectors: **the electric field from a positive point charge points away from the charge**. If we were to look at points that were a distance of 2d away from the point charge, we would need to change the magnitude of the electric field by a factor of 4 (since it is $r^2$ in the denominator), but the directions would stay the same. So we draw the electric field vector at Point A pointing straight up. If you follow the same steps for Points B-D, you find an important pattern from drawing this electric field vectors: **the electric field from a positive point charge points away from the charge**. If we were to look at points that were a distance of 2d away from the point charge, we would need to change the magnitude of the electric field by a factor of 4 (since it is $r^2$ in the denominator), but the directions would stay the same.
  
 ==== Examples ==== ==== Examples ====
-[[184_notes:examples:Week2_electric_field_negative_point|Electric Field from a Negative Point Charge]]+  * [[184_notes:examples:Week2_electric_field_negative_point|Electric Field from a Negative Point Charge]] 
 +    * Video Example: Electric Field from a Negative Point Charge 
 +{{youtube>a64SCwLdIe0?large}}
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  • Last modified: 2021/01/26 18:19
  • by bartonmo