Transformerless power supply, capacitor calculation?

Question

Electronics

I found just such a scheme.
But I don’t have a transformer, and I don’t have it in a store in the city either. I want to assemble it in a transformerless version. I need to apply 90-200 volts. This is how I plan to collect.

The questions are:
Did I correctly calculate the capacitor for the indicated voltages? (the circuit is capable of delivering up to 0.1 A)
Will it work?
If it doesn't work, then why?
What is an inrush current? (Well, it’s clear here, this is a short-term increase in current strength) How is it formed if you do not turn on the resistor, in series with the bridge? (After all, in the circuit, it seems that the capacitor limits the input current, but everywhere a resistor is installed in series to protect against current surges) So far, I have only found information about transformer magnetizing current surges (but there is no transformer here).
ZY The power supply is only for some tests, no more.

Answer 1

If the capacitor is completely discharged, then at the first moment of switching on, its resistance is zero (as if there was a jumper instead of a capacitor). This is the current surge, it is short but unpleasant. And I do not like that there is no transformer, there is no decoupling from the 220 volt network, the phase can be at the output.

Answer 2

trans in this circuit is needed only for one thing - galvanic isolation from the network.
and what you came up with might work, I didn’t delve into it,
but this device can’t be used (unless it’s to power something that doesn’t have a “galvanic connection with external devices”).
in the best case, all your power supplies will simply burn out,
in the worst case, you will not care anymore, because. email will just kill you. current))