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184_notes:pc_energy [2021/01/29 20:44] – bartonmo | 184_notes:pc_energy [2024/01/22 22:26] (current) – [Deriving Electric Potential Energy for Two Point Charges] tdeyoung | ||
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[{{ 184_notes: | [{{ 184_notes: | ||
- | Using the relationship between force and potential energy, we can derive the electric potential energy between two point charges from the electric force. Suppose we have two positive point charges $q_1$ and $q_2$, who are initially separated by a distance r. We will //__assume $q_1$ is fixed__// and let $q_2$ move to infinity. Starting with the general relationship: | + | Using the relationship between force and potential energy, we can derive the electric potential energy between two point charges from the electric force. Suppose we have two positive point charges $q_1$ and $q_2$, who are initially separated by a distance r. We will // |
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we can plug in the electric force equation for the force from $q_1$ on $q_2$ (point charges), and we know that our initial location is $r_i=r$ and our final location is $r_f=\infty$. So we get: | we can plug in the electric force equation for the force from $q_1$ on $q_2$ (point charges), and we know that our initial location is $r_i=r$ and our final location is $r_f=\infty$. So we get: | ||
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====Examples==== | ====Examples==== | ||
- | [[: | + | * [[: |
- | + | * Video Example: Particle Acceleration through an Electric Field | |
- | [[: | + | |
+ | * Video Example: Preventing an Asteroid Collision | ||
+ | {{youtube> | ||
+ | {{youtube> |