Ripple Voltage on a Filter Capacitor
After rectification, the capacitor charges to the peak voltage and discharges between peaks under load. The ripple voltage is the sawtooth variation — the difference between the peak and the minimum. Larger capacitance or lower load current reduces ripple.
Iload — DC load current. More current drains the capacitor faster between peaks.
C — Filter capacitance. Larger C stores more charge and reduces ripple.
n × f — Ripple frequency. Full-wave rectifier doubles the mains frequency (100 Hz at 50 Hz mains).
Capacitor Ripple Voltage Calculator
After a rectifier converts AC to pulsating DC, a filter capacitor smooths the output. But the smoothing is never perfect — under load, the capacitor discharges between rectification peaks, producing a sawtooth variation called ripple. Too much ripple causes audible hum in audio circuits, unstable operation in digital systems, and noise in sensor readings. This calculator finds the ripple voltage for a given capacitor, or finds the minimum capacitance for a target ripple.
What Is Ripple Voltage?
The peak-to-peak variation in the DC output caused by the capacitor charging and discharging each half-cycle (full-wave) or full cycle (half-wave). It is the difference between the peak voltage (when the capacitor charges) and the minimum voltage (just before the next charging pulse). Lower ripple means a cleaner, more stable DC output.
The Formula
Iload = DC load current (A)
n = 1 (half-wave) or 2 (full-wave)
f = mains frequency (Hz) — 50 Hz UK/EU, 60 Hz US
C = filter capacitance (F)
Ripple % = (ΔV / Vdc) × 100%
This is the linear approximation, valid when the ripple is small compared to the DC voltage (which is the normal operating condition for a well-designed supply). For the exact exponential discharge between peaks, use the Capacitor Discharge Calculator.
Half-Wave vs Full-Wave
Full-wave bridge (n = 2) — Four diodes. Capacitor charges twice per mains cycle. Ripple frequency is double the mains (100 Hz). Half the ripple for the same capacitance. Standard for nearly all power supplies.
5V / 1A Full-Wave PSU (2200µF, 50 Hz)
Ripple % = 4.55 / 5 × 100 = 91%
91% ripple is far too high — the "DC" output swings from 5V down to 0.45V each cycle. 2200 µF is nowhere near enough for 1A at 5V. You need at least 10000 µF to get the ripple below 1V (ΔV = 1/(2 × 50 × 0.010) = 1.0V = 20%). In practice, a linear regulator after the capacitor absorbs the remaining ripple. For the regulator efficiency impact, see the Electrical Efficiency Calculator.
12V / 2A Full-Wave PSU (4700µF, 50 Hz)
Ripple % = 4.26 / 12 × 100 = 35.5%
35.5% ripple. Still high for a raw unregulated supply, but a 12V linear regulator (e.g. 7812) with a 15V transformer can tolerate this because the minimum voltage (12 − 4.26 = 7.74V... wait, the DC voltage is higher than 12V from the transformer). The real design approach: choose a transformer with enough headroom for the ripple plus dropout voltage. The capacitor just needs to keep the minimum above the regulator's dropout.
Finding Capacitor Size (500 mA, 0.5V Target Ripple)
C = 0.5 / (2 × 50 × 0.5) = 0.5 / 50 = 10000 µF
10000 µF for 0.5V ripple at 500 mA — a large electrolytic capacitor. This is why most power supplies use a regulator rather than trying to achieve low ripple with capacitance alone. The capacitor only needs to keep the voltage above the regulator's minimum input.
How to Reduce Ripple
Use full-wave rectification — Halves ripple compared to half-wave for free (just 4 diodes instead of 1).
Add a voltage regulator — A linear regulator rejects ripple by its PSRR (power supply rejection ratio). A 7805 has ~60 dB PSRR at 120 Hz, reducing 1V ripple to ~1 mV at the output.
Use a switching regulator — Switch-mode PSUs regulate output tightly regardless of input ripple, as long as the input stays within the operating range.
ESR and Real-World Ripple
The formula assumes an ideal capacitor. Real capacitors have equivalent series resistance (ESR) that adds a resistive ripple component: VESR = Ipeak × ESR. At low frequencies (50–100 Hz rectifier ripple), the capacitive component dominates. At high frequencies (switching power supply ripple at 100 kHz+), ESR dominates. Use low-ESR capacitors for switching supplies. For ESR analysis, see the ESR Capacitor Calculator.
Frequently Asked Questions
Last updated: March 2026