" How do work out that capacitors should be 2200 or 4700 uf"
Technically, it is not simple.
Realistically, there is a small available range of capacitance values.
Too small of a value can result in excess ripple under severe load.
Too high of a value can cause an unnecessary inrush current.
The true capacitance value depends on voltage, current draw, resistance of the transformer and the diodes........
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