How do I convert an AC rectified signal to DC (mathematically)?

rectified ac dc !!!

either have half wave or full wave rectification. resulting dc rectifier unfiltered have pulsations in resemble ac since wave obtained.

use of capacitor filter smooth pulsations (called ripple) within dc , result smoothed voltage has little if variations in voltage.

use of capacitor helps sustain peak voltage until next peak recharges cap. filtered dc approaches peak voltage. 1.414 times original unfiltered rms level of rectified voltage. 1.414=1/0.707 way think of rms peak multiplied 0.707 stands reason can divide rms 0.707 peak.

direct current(dc) defined unidirectional flow of current. i.e. current flows in same direction. can have several forms of dc such unfiltered pulsating dc , filtered smooth dc or varying dc modulated. no matter voltage long doesn't cross 0 threshold, have current flowing in same direction hence dc.

i have rectified ac waveform, , want convert dc. simple dividing ac waveform 0.707, or misunderstanding something?

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