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I'm trying to understand how you get a DC signal from an AC signal being rectified. It produces a ripple waveform and the signal gets "smoothed" out using a smoothing capacitor. Is the smoothed waveform basically DC or is there more to it? Since it's not a completely straight DC signal what am I missing.

schematic of full wave rectifier with smoothing capacitor

(Image source: Electronics Tutorials - Full Wave Rectifier with Smoothing Capacitor)

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  • \$\begingroup\$ Well, in the sense that it no longer reverses polarity it can be considered DC with ripple. \$\endgroup\$
    – John D
    Commented Dec 22, 2022 at 19:09
  • \$\begingroup\$ Even the not-smoothed signal (the abs(sin(t)) thing) is considered DC. \$\endgroup\$
    – Eugene Sh.
    Commented Dec 22, 2022 at 19:11
  • \$\begingroup\$ So how do you produce a completely straight signal with no noticable ripples? Picking the right capacitor? \$\endgroup\$
    – Amadeus
    Commented Dec 22, 2022 at 19:16
  • \$\begingroup\$ @Amadeus In theory, yes. Infinitely large capacitance will have no voltage ripple even if you charge or discharge it. The point is having a large enough capacitance so the ripple is low enough you can deal with it. Or use a regulator. \$\endgroup\$
    – Justme
    Commented Dec 22, 2022 at 19:22
  • \$\begingroup\$ @Amadeus It only needs to be good enough, not perfect. \$\endgroup\$ Commented Dec 22, 2022 at 21:03

3 Answers 3

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In case you are wondering how e.g. a phone charger outputs a constant 5 VDC or an ATX PSU outputs a constant 12 VDC: These are switching power supplies. They replenish the capacitor much more often.. 100 kHz ballpark. Therefore, their output is less ripply, but still not a straight line, when viewed at a corresponding time scale.

In practice, the ripple can be negligibly small if you use a switching power supply (incl. the diode bridge type supply in the question), followed by a post-regulator, which basically burns off the excess peaks of the ripple into heat.

If you cannot tolerate any ripple, you have to use a battery or photovoltaics as energy source.

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It's a lot easier to begin by analysing a half wave rectifier and resistive load: -

enter image description here

Is the smoothed waveform basically DC or is there more to it?

Then if you add a smoothing capacitor, can you see that the output waveform becomes like this (my addition in red): -

enter image description here

So, when the input voltage is positive, it both supplies the resistor load and, charges up the capacitor. Then, when the input voltage is falling from the positive peak, the diode becomes reverse biased and no longer supplies current to the capacitor and load resistor.

So, the capacitor slightly discharges due to the resistor taking current directly from the capacitor.

If you understand this, the full wave rectifier is a relatively short leap in understanding.

Since it's not a completely straight DC signal what am I missing.

You might be missing that the diode becomes reverse biased and the resistive load discharges the capacitor a little until the AC voltage waveform becomes positive again and recharges the capacitor close to the top of the waveform.

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You can increase the output capacitance for better DC coupling. If still the waveform in not good enough for your application, try using LDO or a switching regulator in between the capacitor and the load.

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