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@jemoka / Jemoka Knowledge Base / wiki/concepts/capacitor.md
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--- title: "Capacitor" type: concept related: [Voltage, Resistors] source: https://www.jemoka.com/posts/kbhcapacitor/ confidence: high status: active --- A capacitor changes, then resists being charged further. Their rules work opposite to resistors. capacitor in series \begin{equation} \frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3} \end{equation} and yet, capacitor in parallel \begin{equation} C_{eq} = C_1 + C_2 + C_3 \end{equation} energy stored by a capacitor \begin{equation} E = \frac{1}{2} CV^{2} \end{equation} where, \(E\) is the energy stored, \(C\) the capacitance, and \(V\) the voltage across the capacitor. Which, subbing the formula below: \begin{equation} U = \frac{1}{2} \frac{Q^{2}}{C} \end{equation} voltage across and max charge stored on a capacitor \begin{equation} C = \frac{Q}{V} \end{equation} where, \(Q\) is the change and \(V\) the voltage “the more change the capacitor can store given a voltage, the higher the capacitance.” \begin{equation} Q = CV \end{equation}