184_notes:examples:week3_particle_in_field

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184_notes:examples:week3_particle_in_field [2018/05/24 14:58] – curdemma184_notes:examples:week3_particle_in_field [2021/01/26 21:22] – [Example: Particle Acceleration through an Electric Field] bartonmo
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   * It has charge $Q$, which can be positive or negative or zero.   * It has charge $Q$, which can be positive or negative or zero.
   * The particle is a distance $L$ from the boundary of the electric field.   * The particle is a distance $L$ from the boundary of the electric field.
-  * We can write the change in electric potential energy (from an initial location "i" to a final location "f") for a point charge two ways here:+  * We can write the change in electric potential energy (from an initial location "$i$" to a final location "$f$") for a point charge two ways here:
 \begin{align*} \begin{align*}
 \Delta U &= -\int_i^f\vec{F}\bullet d\vec{r} &&&&&& (1) \\ \Delta U &= -\int_i^f\vec{F}\bullet d\vec{r} &&&&&& (1) \\
 \Delta U &= q\Delta V                        &&&&&& (2) \Delta U &= q\Delta V                        &&&&&& (2)
 \end{align*} \end{align*}
-  * We can write the change in electric potential (from an initial location "i" to a final location "f") as+  * We can write the change in electric potential (from an initial location "$i$" to a final location "$f$") as
 \begin{align*} \begin{align*}
 \Delta V=-\int_i^f \vec{E}\bullet d\vec{r} &&&&&& (3) \Delta V=-\int_i^f \vec{E}\bullet d\vec{r} &&&&&& (3)
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 ===Representations=== ===Representations===
-{{ 184_notes:3_particle_acceleration_field.png?200 |Particle in the Electric Field}}+[{{ 184_notes:3_particle_acceleration_field.png?200 |Particle Q in the Electric Field}}]
  
 ===Goal=== ===Goal===
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 <WRAP TIP> <WRAP TIP>
 === Approximation === === Approximation ===
-We will approximate the particle as a point charge. We already know it is a "particle" which is a pretty small thing, so our approximation seems reasonable. We want to make this approximation because it allows us to use certain tools, like the equation for electric force in the Facts, tools that can only be applied to point charges.+We will approximate the particle as a //__point charge__//. We already know it is a "particle" which is a pretty small thing, so our approximation seems reasonable. We want to make this approximation because it allows us to use certain tools, like the equation for electric force in the Facts, tools that can only be applied to point charges.
 </WRAP> </WRAP>
  
  • 184_notes/examples/week3_particle_in_field.txt
  • Last modified: 2021/05/19 15:01
  • by schram45