If a voltage is applied to a capacitor through a series resistor, the charging current will be highest when the cap has 0 Volts across it. . (i.e. when it is first connected the full voltage will be across the resistor). The maximum charge current is limited to I = V/R where V is the applied voltage and R is the series resistance.
Calculation: a capacitor with a capacitance of 50 F is recommended. For constant voltage charging it is recommended to use a protective resistor in series with the EDLC. It may be necessary to restrict the current with a protective resistor RP to a specific value Imax.
As the capacitor charges the voltage across the resistor drops ( V_R = V - V_"cap") so the current through it drops. This results in a charge curve that starts off at it's maximum charge rate and tails off to a slower and slower charge rate as the capacitor nears its fully charged state.
If the charging current that your power supply provides, along with its output impedance, layout impedance, and the ESR (Equivalent Series Resistance) of the capacitor is acceptable, then you don't need a resistor in series for charging the capacitor.
The larger the resistor , the slower the charge/discharge rate. The larger the capacitor , the slower the charge/discharge rate. If a voltage is applied to a capacitor through a series resistor, the charging current will be highest when the cap has 0 Volts across it. (i.e. when it is first connected the full voltage will be across the resistor).
The larger the capacitor , the slower the charge/discharge rate. If a voltage is applied to a capacitor through a series resistor, the charging current will be highest when the cap has 0 Volts across it. (i.e. when it is first connected the full voltage will be across the resistor). where V is the applied voltage and R is the series resistance.