Numerical - Voltage regulation and efficiency of a half-wave rectifier circuit with silicon diode

Q.  Determine the voltage regulation and efficiency of a half-wave rectifier circuit that uses silicon diode with a forward resistance of 0.15 ohm, load resistance of 15 ohm, threshold voltage of about 0.7 V and emf at secondary winding is about 16 Vrms including the emf resistance of about 0.4 ohm.
- Published on 20 Oct 15

a. 4.8% & 36.06%
b. 1.2% & 36.06%
c. 2.5% & 42.06%
d. 3.6% & 42.06%

ANSWER: 3.6% & 42.06%
 
Considering the half-wave rectifier circuit,

Voltage Regulation (VR) = R0 / RL
But, Ro = emf resistance + forward resistance
= 0.4 + 0.15
= 0.55

VR = R0 / RL
= 0.55 / 15 = 0.036 or 3.6 %

Efficiency (η) = Pdc / Pin = 40.6 / (1 + Ro / RL )
= 40.6 (1 + 0.55 / 15)
= 42.06 %

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