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how to make a diode bridge which can output +25v and -25V DC.
You can make one with four diodes, but it's easier to just buy a bridge. Here are some examples: https://za.rs-online.com/web/c/semiconductors/discrete-semiconductors/bridge-rectifiers/?sort-by=P_breakPrice1&sort-order=asc&sort-option=Price&applied-dimensions=4294767855&lastAttributeSelectedBlock=4294957617how to make a diode bridge...
There must be little or no load. The more load you add, the more you reduce amplitude of the supply V.
There are ways to boost the volt level. Example, voltage doublers.
That is not true. The voltage declaration at a transformer output is for max. load. The open-circuit voltage is dependent from the internal resistance of the winding and from the size of the transformer. Small transformers can deliver between 0,8 and 2 times more voltage without load.
This power supply every time delivers the peak voltage of the transformer.
Real is, that the ripple voltage rise up, if the reservoir capacitor is to small. Here is the empirical formula to calculate the capacitor 1000µF / A.
Voltage doublers can not deliver so much current, only a few mA.
Since 40 years I work in developing and constuction of audio devices. Never I caculate PSUs like you do only in University. I never get problems with the PSU.
Please consider that an amplifier not every time must give full power, so that the supply voltage goes up and down. So only have a look that your reservoir capacitor has enough capacity to hold the voltage in a given tolerance.
I'm delighted to come across someone who had real-life practical experience with audio equipment.
So I won't argue with you on that point.
I have also observed, on my own oscilloscope, with my own eyes, that the volt level drops if the loud sound goes on longer than a brief time.
Then when the sound is quiet, the volt level rises back up, although never higher than 1.4 x the transformer's nominal AC V, minus diode drops.