Full-Wave Bridge Rectifier Analysis

Flashcards covering circuit formulas and analysis for full-wave bridge rectifiers with and without a capacitor filter.

What are the given AC line input voltage (RMS) and frequency specified for the rectifier circuits?

$120\text{ V (rms)}$ at $60\text{ Hz}$

What is the formula to calculate the peak input voltage $Vin(peak)$ from the RMS input voltage $Vin(rms)$?

$$Vin(peak) = \sqrt{2} Vin(rms)$$

Given a transformer turns ratio of $N1:N2$, how is the secondary peak voltage $Vs(peak)$ calculated?

$$Vs(peak) = \frac{N2}{N1} Vin(peak)$$

What is the formula for the peak output voltage $Vo(peak)$ in a full-wave bridge rectifier considering diode threshold voltage $Vth$?

$$Vo(peak) = Vs(peak) - 2 Vth$$

What is the formula for the DC or average output voltage ($VDC = Vav$) of a full-wave bridge rectifier without a filter?

$$VDC = Vav = 2 \frac{Vo(peak)}{\pi}$$

What is the formula for the peak-to-peak ripple voltage $Vr(pp)$ in a full-wave bridge rectifier with a capacitor filter?

$$Vr(pp) = \frac{1}{fo\,RL\,C} Vo(peak)$$

What is the formula for the DC or average output voltage ($VDC = Vav$) of a full-wave bridge rectifier with a capacitor filter?

$$VDC = Vav = Vo(peak) - \frac{1}{2} Vr(pp)$$

What is the formula for the ripple factor $r$ in a rectifier circuit with a capacitor filter?

$$r = \frac{Vr(pp)}{VDC}$$