We will use two basic formulas, one is Ohm’s law and the second one is the relation between capacitance, charge, and voltage: and .
Knows when resistors and capacitors are linked together, the resistor prevents current from flowing that could otherwise charge or discharge the attached capacitor. Now that we know, we can charge or discharge at a slower rate depending on the resistor's value. Additionally, we are aware that a capacitor's value determines how quickly it will charge or discharge.
The current will be greatest when there are no voltages present in the capacitor while applying a voltage to it through a resistor that is linked in series.
Since the maximum charge current is constrained to, we may write: Here, is current, is the applied voltage, and is the series resistance connected to the circuit. As this particular capacitor charges or discharges, the voltage on the associated capacitor varies in the circuit.
When this capacitor charges, the voltage across the resistor decreases, as shown by the equation . So, the current flowing through it decreases as the voltage does.
This results in a charge curve that start off at its maximum charge rate and tails off to a slower and slower charge rate as the capacitor nears its fully charged state.