I've been getting into pedals and noticed that some pedals use polarized caps for the output.
Why polarized caps? Why not nonpolar?
Most of the time, polarized caps are used because polarized electrolytics pack the most capacitance into the smallest package. Look sometime at the size of a 22uF polypropylene Solen cap next to a 22uF Nichicon electrolytic.
Big capacitance values are needed to get a given frequency response when circuit resistance is small.
Guitar amps using tubes have large circuit resistances, because it suits the tubes and the supply voltages. Transistor/opamp pedals have a 9vdc supply instead of 400v+, and use small circuit resistances. So circuit caps become large values compared to tube circuits. 4700-16000uF filter caps are not unusual.
So a 20-220uF output cap would be too big to fit in the pedal if you used a film cap.
So why not non-polar electrolytics? Regular electrolytics have flaws that are the tradeoff for packing big uF's in a small package. Non-polar electrolytics are only 2 regular e-lytics back-to-back. They have all the flaws of non-polars, x2.
Isn't the signal at the output going positive and negative with respect to ground and therefore a polarized cap would be reversed(wrong) every half cycle?
Your pedal isn't blowing up caps is it?
The output is going positive and negative relative to some median voltage. But that middle-voltage isn't ground. The output end of that output cap is effectively connected to ground through a resistor, so it's at 0v. Since the cap is polarized, the other end must be at some more-positive voltage.
This is usually provided by the natural d.c. level present at the output transistor/FET/opamp. The designers know the cap will never be able to be driven with a signal able to reverse the polarity of the voltage applied to the cap. So, the varying signal voltage just makes the cap see a larger or smaller net-positive voltage at its + lead, as compared to its - lead.
Seperate question:
Do two polarized caps wired back to back make a nonpolarized cap?
Yes. Effectively, you take two polarized caps, connect the + leads together, and wrap up that package. Now, you're left with the two - leads accessible. These leads are now the leads of your non-polar cap.
If yes do two 10uF polarized caps make one nonpolar 5uF or one nonpolar 10uF?
Caps in parallel add their individual capacitances. What I described was caps in series; these have a lower total capacitance than the caps you started with, after the same manner as resistors in parallel. The same formula is used to find the value, but C in place of R.
So two 10uF caps placed back-to-back to make a non-polar cap yield a 5uF non-polar. I have seen a rule for the voltage rating of such a cap, but given the anti-phase nature of the arrangement, I'd give the total package the same voltage rating as the lower of the individual caps.
Example:
You use two 10uF 100v caps to make a non-polar cap. You know this will give you a 5uF composite cap; the voltage rating should be 100v, because the maximum voltage the composite can handle in either direction/polarity is the 100v given by 1 of the caps.
Example 2:
You use a 10uF 100v cap and a 10uF 25v cap to make a non-polar cap. You now get a 5uF 25v non-polar cap. The 10uF 25v cap is the weak link, so you can't exceed its rating or it will pop.