How to Calculate the Voltage of a Charging Capacitor

What does the Voltage Rating on a Capacitor Mean?


The formula to calculate the voltage across a charging capacitor is:

Formula for voltage across a charging capacitor

where VC is the voltage across the capacitor, VS is the supply voltage that is charging the capacitor, t is the amount of time (in seconds (s)) for which the capacitor has been charging, R is the resistance in of the capacitor circuit, and C is the capacitance of the capacitor.

Example

A 1000µF capacitor is being charged by a 10-volt power source and has been charging for 5 seconds. The resistance in series with the capacitor is 1KΩ. What is the voltage across the capacitor after this time has elapsed?

Example of calculation of the voltage of a charging capacitor

So this capacitor will have a voltage of 9.93V after 5 seconds has elapsed.

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