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@jemoka / Jemoka Knowledge Base / wiki/concepts/voltage.md
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--- title: "voltage" type: concept related: [Electric Potential Energy, Voltage] source: https://www.jemoka.com/posts/kbhvoltage/ confidence: high status: active --- voltage is a measure of difference in electric potential energy across two points \begin{equation} V = \frac{1}{4\pi \epsilon_{0}} \sum_{i} \frac{q_{i}}{r_{i}} \end{equation} or, \begin{equation} PE = qV \end{equation} potential energy experienced by \(q\) at the point. \begin{equation} E_{x} = -\dv{V}{x} \end{equation} \begin{equation} \Delta V = - \int E \cdot dr \end{equation} \begin{equation} PE = \frac{1}{4\pi \epsilon_{0}} \frac{q_1q_2}{r} \end{equation} equipotentential lines and electric field lines should align at right angles. current through series is the same voltage through parallel is the same