HALF WAVE RECTIFIER WITHOUT FILTER
DESCRIPTION:
This circuit takes an AC as input with both positive-negative cycles, and outputs only the positive or negative cycles as a pulsating DC depending on how you configure the direction of the diode. It is called a half wave rectifier because it only rectifies the positive or negative half which causes half of the power to be wasted.
GRAPHER:
Blue = Output = Positive Cycles
Purple = Output = Negative cycles
FORMULAS:
Vdc = Average DC Voltage = (Vpeak - Vdiode) * 0.318
or
Vdc = (Vrms_in - Vdiode) * 0.45
Vrms = RMS Output Voltage = (Vpeak - Vdiode) / 2
Idc = Average DC Current = Ipeak * 0.318
or
Idc = Vdc / R
Irms = RMS Output Current = Ipeak / 2
EXAMPLE:
Vrms_in = 120V AC = North America Mains Voltage
Vpeak = Vrms / 0.707 = 120 / 0.707 = 169.7V AC
Vdiode: The voltage drop of a diode is typically between 0.2 ~ 0.8 volts, we will use 0.7
Vdc = (169.7 - 0.7) * 0.318 = 53.7Vdc
or
Vdc = (120 - 0.7 ) * 0.45 = 53.7Vdc
Vrms_out = (169.7 -0.7) / 2 = 169 / 2 = 84.5Vrms
Idc = Vdc / R = 53.7 / 100 = 0.537A
Ipeak = Idc / 0.318 = 1.689A
Irms = Ipeak / 2 = 0.844A
Idc = 1.689 * 0.318 = 0.537A
NOTE:
Using a really big resistance value will cause the missing cycle to appear again.
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