> [!summary] Power in circuits is the change in electric potential over time. > **Key equation:** > Power in circuits: $P=IV$ >[!info]+ Read Time **⏱ 1 min** # Definition [[Power]] in [[Circuits|circuits]] describes the change in the [[Electric Potential|electric potential]] over time. Mathematically, it's defined as the following: > [!warning] Assumptions To derive power in circuits, assume the following: > - [[Power]] is defined as ($P=\frac{E}{t}=\frac{\Delta U}{t}$) > - The electric potential is defined as $V=\frac{U}{q}$ > - [[Current|Current]] is defined as $I=\frac{q}{t}$ $ \begin{align*} P &= \frac{\Delta U}{t} \\ &= \frac{qV}{t} \\ &= IV \end{align*} $ # Resources <iframe width="560" height="315" src="https://www.youtube.com/embed/3zt7DWUiaDE?si=K4B7cPkhHjhIU6RI" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe> --- > 🧪 Think this could help someone else? [Star Math & Matter on Github](https://github.com/rajeevphysics/Obsidian-MathMatter) to help more learners discover it. ---