Form factor and peak factor of rectifier

Peak factor

The peak factor is defined as the ratio of the maximum value to the RMS value of an alternating quantity.

Peak factor = Peak value / RMS value

RMS voltage of a half wave rectifier, VRMS = Vm/2. Where Vm is the Maximum or peak voltage.

rms-value-half-wave-rectifier

Then the Peak factor of a half wave rectifier  can be calculated as,

Vm / VRMS = Vm / ( Vm / 2 ) = 2 Vm / Vm = 2

Similarly, For a full wave rectifier, the RMS voltage VRMS = Vm / √2

rms-value-full-wave-rectifierTherefore, the Peak factor value of a full wave rectifier = Vm / Vm/ √2

= Vm √2 / Vm = √2 = 1.414

Form factor

The ratio of RMS value to the average value of an alternating quantity is known as its form factor.

Form factor = RMS value / Average value

RMS voltage of a half wave rectifier, VRMS = Vm / 2 and Average Voltage  VAVG= Vm/π,  Vis the peak voltage.

average-value-half-wave-rectifier

Form factor of a half wave rectifier = VRMS / VAVG = ( Vm /2 ) / ( Vm / π )

= π Vm / 2 Vm = 1.57

For a full wave rectifier, the RMS voltage VRMS = Vm / √2 and the average Voltage,

VAVG = 2 V/ π

average-value-full-wave-rectifier

Form factor value of a full wave rectifier = ( Vm / √ 2 ) / ( 2Vm / π )

= π Vm / 2√2  Vm = 1.11

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