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Capacitor Energy

53 bytes added, 15:07, 22 May 2024
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*[[Capacitor]]s can deliver [[energy]] quickly compared to [[Electrical Battery|batteries]].
*Used in [[Power Supply|power supplies]] to smooth out fluctuations in [[Potential Difference|voltage]].
*The [[energy]] stored in a [[capacitor]] is half the [[energy]] required to charge the capacitor. Since the [[Electrical Work|work done]] to [[Electrical Charge|charge]] the [[capacitor]] is given by the product of the [[Electrical Charge|charge]] supplied by the [[Electrical Battery|battery]] and the [[Potential Difference|potential difference]] of the [[Electrical Battery|battery]] provides a constant flow of [[Electrical Charge|charge]] and constant [[Potential Difference|potential difference]]. However, as the [[Potential Difference|potential difference]] across the [[capacitor]] changes as the [[Electrical Charge|charge]] stored in the [[capacitor]] changes. This provides a maximum [[Energy Efficiency|efficiency ]] of 50% to [[capacitor]]s which is far less than the [[Energy Efficiency|efficiency ]] of a [[Electrical Battery|battery]].
===Formula===
The energy 𝐸 stored in a capacitor is given by any of the three following formulae:
β€’<math>𝐸 = \frac{1}{2}𝐢𝑉^2</math>
β€’<math>𝐸 = \frac{1}{2}Q𝑉</math>
β€’<math>𝐸 = \frac{1}{2}\frac{Q^2}{C}</math>
Where: