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Samlex heavy-Duty bench supply filter question
#9

25V is a bit low. That is, it is higher than the applied voltage, but you want some decent margin.
In this case, you have almost 14V out. This being the regulator (an LDO and a bipolar transistor), you need a volt or so of a dropout.
Make it 15V.
15V is the DC average. The Vp (peak) is 3.14/2 times that, or roughly 23V.

And the unit mfr probably chose to have some margin, so adf another 2-3V.

Of course the cap smoothes the pulsation p-p, but there is still some.

Your 25V is very close. If not under.
This is why I prefer 50V, as life of the cap is inversely proportional to the ratio of WV/Vapp.

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