More actions
→Capacitor recharge rate: .png formula to <math> |
m indent math |
||
| Line 94: | Line 94: | ||
A player by the name of “Dust Puppy” investigated the recharge rate in-depth and published his findings<ref>[https://oldforums.eveonline.com/?a=topic&threadID=116993 Dust Puppy - Thoughts and research on the capacitor]</ref>. 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<ref>[https://oldforums.eveonline.com/?a=topic&threadID=116993 Dust Puppy - Thoughts and research on the capacitor]</ref>. Based on his experiments, he suggests that the formula for calculating recharge rate is: | ||
<math> \displaystyle\frac{\text{d}C}{\text{d}t} = \frac{ 10C_{\rm{max}}}{T} \left( \sqrt{ \frac{C}{C_{\rm{max}}} } - \frac{C}{C_{\rm{max}}} \right) </math> | :<math> \displaystyle\frac{\text{d}C}{\text{d}t} = \frac{ 10C_{\rm{max}}}{T} \left( \sqrt{ \frac{C}{C_{\rm{max}}} } - \frac{C}{C_{\rm{max}}} \right) </math> | ||
...where:<br /> | ...where:<br /> | ||
| Line 108: | Line 108: | ||
The formula can be also used to write capacitor level as function of time | The formula can be also used to write capacitor level as function of time | ||
<math> \displaystyle C_1 = C_{\rm{max}} \left( 1 + e^{ \large 5 \frac{ t_0 -t_1 }{ T } } \left( \sqrt{ \frac{C_0}{C_{\rm{max}}} } - 1 \right) \right)^2 </math> | :<math> \displaystyle C_1 = C_{\rm{max}} \left( 1 + e^{ \large 5 \frac{ t_0 -t_1 }{ T } } \left( \sqrt{ \frac{C_0}{C_{\rm{max}}} } - 1 \right) \right)^2 </math> | ||
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> | 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> | ||