http://www.physicsbook.gatech.edu/index.php?action=history&feed=atom&title=Electric_Potential_Energy 2026-04-12T03:59:47Z Revision history for this page on the wiki MediaWiki 1.42.7 http://www.physicsbook.gatech.edu/index.php?title=Electric_Potential_Energy&diff=47967&oldid=prev 2026-04-11T20:57:47Z

<p>Created page with &quot;== Overview == &#039;&#039;&#039;Electric Potential Energy&#039;&#039;&#039; ($U_e$) is a scalar quantity representing the energy stored in a system of charges due to their positions relative to each other. It is a conservative form of energy, meaning the work done by the electric field depends only on the initial and final positions, not the path taken. == Mathematical Formula == For two point charges, $q_1$ and $q_2$, separated by a distance $r$, the energy is calculated using: &lt;math&gt;U_e = \frac{1...&quot;</p> <p><b>New page</b></p><div>== Overview ==<br /> &#039;&#039;&#039;Electric Potential Energy&#039;&#039;&#039; ($U_e$) is a scalar quantity representing the energy stored in a system of charges due to their positions relative to each other. It is a conservative form of energy, meaning the work done by the electric field depends only on the initial and final positions, not the path taken.<br /> <br /> == Mathematical Formula ==<br /> For two point charges, $q_1$ and $q_2$, separated by a distance $r$, the energy is calculated using:<br /> &lt;math&gt;U_e = \frac{1}{4\pi\epsilon_0} \frac{q_1 q_2}{r}&lt;/math&gt;<br /> <br /> == Key Properties ==<br /> * &#039;&#039;&#039;Units:&#039;&#039;&#039; Measured in Joules (J).<br /> * &#039;&#039;&#039;Scalar Quantity:&#039;&#039;&#039; It has magnitude but no direction.<br /> * &#039;&#039;&#039;Signage:&#039;&#039;&#039; <br /> ** Positive ($+$) for like charges (energy is required to push them together).<br /> ** Negative ($-$) for opposite charges (the system is naturally bound).<br /> * &#039;&#039;&#039;Relationship to Work:&#039;&#039;&#039; The change in potential energy is the negative of the work done by the field: $\Delta U = -W_{field}$.<br /> <br /> == To Be Added ==<br /> * [ ] Diagram showing the distance between two charges.<br /> * [ ] Example calculation.<br /> * [ ] Embedded PhET simulation for &quot;Charges and Fields&quot;.</div>

Kanishka Kislaya