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184_notes:comp_super [2018/05/15 14:50] – curdemma184_notes:comp_super [2021/02/09 19:08] (current) – [How can we use a computer for this?] bartonmo
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 Section 15.9 in Matter and Interactions (4th edition) Section 15.9 in Matter and Interactions (4th edition)
  
-[[184_notes:dipole_sup|Previous Page: Dipole Superposition Example]]+/*[[184_notes:line_fields|Next Page: Field and Potential for Line of Charge]] 
 + 
 +[[184_notes:dipole_sup|Previous Page: Dipole Superposition Example]]*/
  
 ===== Superposition and the Computer ===== ===== Superposition and the Computer =====
  
-The principle of superposition is an overarching and powerful tool in much of physics. It is useful well beyond the electric field as you will see with the magnetic field (and as you might see in future physics courses in quantum mechanics). The fact that the electric field obeys the principle of superposition means we can define a powerful algorithm for computing the electric field at any given location from any distribution of charge. In these notes, you will read about how you can structure code to calculate the electric field from many sources charge (though you could apply this procedure to electric potential as well).+The principle of [[184_notes:superposition|superposition]] is an overarching and powerful tool in much of physics. It is useful well beyond the electric field as you will see with the magnetic field (and as you might see in future physics courses in quantum mechanics). The fact that the electric field obeys the principle of superposition means we can define a powerful algorithm for computing the electric field at any given location from any distribution of charge. In these notes, you will read about how you can structure code to calculate the electric field from many sources of charge (though you could apply this procedure to electric potential as well).
  
 ==== The Superposition Principle ==== ==== The Superposition Principle ====
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 $$\vec{E}_{net} = \sum \vec{E}_i = \vec{E}_1 + \vec{E}_2 + \vec{E}_3 + \dots$$ $$\vec{E}_{net} = \sum \vec{E}_i = \vec{E}_1 + \vec{E}_2 + \vec{E}_3 + \dots$$
  
-where $\vec{E}_1$ would be the electric field from one point charge, $\vec{E}_2$ would be the electric field from a second point charge, and so on. For this week, we will focus on superposition of point charges and how we can model a line of charge using points. (Next week we will use the idea of superposition to model a continuous line of charge and other distribution of charges.)+where $\vec{E}_1$ would be the electric field from one point charge, $\vec{E}_2$ would be the electric field from a second point charge, and so on. During this week, we will focus on superposition of point charges and how we can model a line of charge using points. (Next week we will use the idea of superposition to model a continuous line of charge and other distribution of charges.)
  
 ==== How can we use a computer for this? ==== ==== How can we use a computer for this? ====
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 </code> </code>
  
-You can also use pseudocode (and may have already) to help you plan and understand the code you are writing.+//You can also use pseudocode (and may have already) to help you plan and understand the code you are writing.//
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