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The '''capacitor recharge rate''' is a non-linear function—the rate at any given moment depends on how much energy is stored at that moment. Near zero and near full capacity, the recharge rate is very low, and it peaks around 25 percent. | The '''capacitor recharge rate''' is a non-linear function—the rate at any given moment depends on how much energy is stored at that moment. Near zero and near full capacity, the recharge rate is very low, and it peaks around 25 percent. | ||
A player by the name of “Dust Puppy” investigated the recharge rate in-depth and published his findings in [http://www.eveonline.com/ingameboard.asp?a=topic&threadID=116993 this thread]. Based on his experiments, he suggests that the formula for calculating recharge rate is: | A player by the name of “Dust Puppy” investigated the recharge rate in-depth and published his findings in [http://www.eveonline.com/ingameboard.asp?a=topic&threadID=116993 this thread] (dead link). Based on his experiments, he suggests that the formula for calculating recharge rate is: | ||
[[File:EVE Cap Recharge Rate Diff Formula.png|center]]<!-- TeX: {\color{White}{dC\over dt}={2C_\mathrm{max}\over\tau}\left(\sqrt{C\over C_{\mathrm{max}}}-{C\over C_\mathrm{max}}\right)} --> | [[File:EVE Cap Recharge Rate Diff Formula.png|center]]<!-- TeX: {\color{White}{dC\over dt}={2C_\mathrm{max}\over\tau}\left(\sqrt{C\over C_{\mathrm{max}}}-{C\over C_\mathrm{max}}\right)} --> | ||
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''C<sub>max</sub>'' is your maximum capacitor level in GJ.<br /> | ''C<sub>max</sub>'' is your maximum capacitor level in GJ.<br /> | ||
''dC''/''dt'' is your current capacitor recharge rate in GJ/s. (Formally: The instantaneous rate of change of the capacitor charge ''C'' with respect to time.)<br /> | ''dC''/''dt'' is your current capacitor recharge rate in GJ/s. (Formally: The instantaneous rate of change of the capacitor charge ''C'' with respect to time.)<br /> | ||
'' | ''T'' is capacitor recharge time. | ||
Capacitor recharge, therefore, peaks at 25%, and the advertised “Capacitor Recharge Time” is actually the time for the capacitor to go from dead empty to 98.7%, assuming no drains or boosts. | Capacitor recharge, therefore, peaks at 25%, and the advertised “Capacitor Recharge Time” is actually the time for the capacitor to go from dead empty to 98.7%, assuming no drains or boosts. | ||
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[[File:EVE_Cap_Recharge_Rate_Formula.png|center]]<!-- TeX: {\color{White}C_1=C_\mathrm{max}\left(1+e^{t_0-t_1\over\tau}\left(\sqrt{C_0\over C_\mathrm{max}}-1\right)\right)^2} --> | [[File:EVE_Cap_Recharge_Rate_Formula.png|center]]<!-- TeX: {\color{White}C_1=C_\mathrm{max}\left(1+e^{t_0-t_1\over\tau}\left(\sqrt{C_0\over C_\mathrm{max}}-1\right)\right)^2} --> | ||
where C<sub>0</sub> is capacitor level at starting time t<sub>0</sub> and C is capacitor level at time t<sub>1</sub> | where C<sub>0</sub> is capacitor level at starting time t<sub>0</sub> and C<sub>1</sub> is capacitor level at time t<sub>1</sub> | ||
The full derivation may be found at http://forum.eveuniversity.org/viewtopic.php?f=222&t=30652 (dead link). | The full derivation may be found at http://forum.eveuniversity.org/viewtopic.php?f=222&t=30652 (dead link). | ||