Capacitor recharge rate: Difference between revisions

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====Using the second capacitor equation (dC/dt = ...) to calculate the Tau ratio and comparing it to ingame values====

This approach assumes two things:

1) That the second equation above is correct

2) That the EVE fitting window shows an accurate value (rounded to one decimal point) for peak recharge.

Peak recharge: By taking the derivative of C in the dC/dt equation and setting the expression to 0, the value of C at peak recharge can be found. This turns out to be C = Cmax/4 (at 25% capacitor), as Seamus have already pointed out.

Entering this value of C into the dC/dt equation gives:

dC/dt (peak) = Cmax/(2*Tau)

What we are looking for is the Tau ratio, which is

"Cap recharge time" / Tau = ?

where this ratio has been suggested to be 4.8 , 4.9 or 5.0

dC/dt (peak) = Cmax/(2*Tau) = Cmax/(2*"Cap recharge time" / ?) = (?/2)*(Cmax/"Cap recharge time")

We can now write three equations for each of the suggested ratios

4.8 -> dC/dt (peak) = 2.40*Cmax/"Cap recharge time"

4.9 -> dC/dt (peak) = 2.45*Cmax/"Cap recharge time"

5.0 -> dC/dt (peak) = 2.50*Cmax/"Cap recharge time"

Next step is to test which value that fits best with the values from the fitting window in EVE. A Slasher has 120s recharge time and 240 total capacitor by default. With the skills Capacitor Management and Capacitor Systems Operation both trained to 5, these values change to 90s recharge time and 300 total capacitor (exact values, no rounding). According to the fitting window this Slasher (no modules or rigs fitted and skills at 5) has a capacitor of Δ8.3 (100%). This is the peak recharge value rounded off to one decimal point. Which of the three equations above gives a peak recharge of 8.3 then?

4.8 -> dC/dt (peak) = 2.40*Cmax/"Cap recharge time" = 2.40*300/90 = 8.000

4.9 -> dC/dt (peak) = 2.45*Cmax/"Cap recharge time" = 2.45*300/90 = 8.167

5.0 -> dC/dt (peak) = 2.50*Cmax/"Cap recharge time" = 2.50*300/90 = 8.333

Seamus Tau ratio of 5 is the only that leads to the same peak recharge value that is seen in the game.

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Bottom line for EVE capsuleers: remember that the recharge rate declines dramatically once it falls below 25% of capacity. Therefore, if in a fight, leave yourself a margin of safety and consider escaping if it appears that you will soon fall below this amount.

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+====Using the second capacitor equation (dC/dt = ...) to calculate the Tau ratio and comparing it to ingame values====
+This approach assumes two things:
+) That the second equation above is correct
+) That the EVE fitting window shows an accurate value (rounded to one decimal point) for peak recharge.
+Peak recharge: By taking the derivative of C in the dC/dt equation and setting the expression to 0, the value of C at peak recharge can be found. This turns out to be C = Cmax/4 (at 25% capacitor), as Seamus have already pointed out.
+Entering this value of C into the dC/dt equation gives:
+dC/dt (peak) = Cmax/(2*Tau)
+What we are looking for is the Tau ratio, which is
+"Cap recharge time" / Tau = ?
+where this ratio has been suggested to be 4.8 , 4.9 or 5.0
+dC/dt (peak) = Cmax/(2*Tau) = Cmax/(2*"Cap recharge time" / ?) = (?/2)*(Cmax/"Cap recharge time")
+We can now write three equations for each of the suggested ratios
+.8  ->  dC/dt (peak) = 2.40*Cmax/"Cap recharge time"
+.9  ->  dC/dt (peak) = 2.45*Cmax/"Cap recharge time"
+.0    ->  dC/dt (peak) = 2.50*Cmax/"Cap recharge time"
+Next step is to test which value that fits best with the values from the fitting window in EVE. A Slasher has 120s recharge time and 240 total capacitor by default. With the skills Capacitor Management and Capacitor Systems Operation both trained to 5, these values change to 90s recharge time and 300 total capacitor (exact values, no rounding). According to the fitting window this Slasher (no modules or rigs fitted and skills at 5) has a capacitor of Δ8.3 (100%). This is the peak recharge value rounded off to one decimal point. Which of the three equations above gives a peak recharge of 8.3 then?
+.8  ->  dC/dt (peak) = 2.40*Cmax/"Cap recharge time" = 2.40*300/90 = 8.000
+.9  ->  dC/dt (peak) = 2.45*Cmax/"Cap recharge time" = 2.45*300/90 = 8.167
+.0    ->  dC/dt (peak) = 2.50*Cmax/"Cap recharge time" = 2.50*300/90 = 8.333
+Seamus Tau ratio of 5 is the only that leads to the same peak recharge value that is seen in the game.
+----
 Bottom line for EVE capsuleers: remember that the recharge rate declines dramatically once it falls below 25% of capacity.  Therefore, if in a fight, leave yourself a margin of safety and consider escaping if it appears that you will soon fall below this amount.