Physics Electronics PMDC Conceptual Practice
PMDC Verified Question 272 of 494
In a center-tapped full-wave rectifier using practical silicon diodes (each with forward drop \( V_D = 0.70\text{ V} \)) where \( V_m \) is the peak voltage across each half of the secondary winding, the peak voltage across the load resistor is:
A
Vload,peak = Vm
B
Vload,peak = Vm - 2VD = Vm - 1.40 V
C
Vload,peak = Vm - VD = Vm - 0.70 V
D
Vload,peak = 2Vm - 2VD
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: Vload,peak = Vm - VD = Vm - 0.70 V
Concept:

In a center-tapped full-wave rectifier, only one diode conducts during each half-cycle, introducing only a single forward voltage drop (\( V_D = 0.70\text{ V} \)) between the secondary winding and the load.

Formula:

$$V_{\text{load,peak}} = V_m - V_D = V_m - 0.70\text{ V}$$

Solution:

  • Applying Kirchhoff's Voltage Law to the active half-winding loop: \( V_m - V_D - V_{\text{load}} = 0 \).


  • Because only one diode conducts per half-cycle, the peak load voltage is \( V_{\text{load,peak}} = V_m - V_D = V_m - 0.70\text{ V} \).


Why other options are incorrect:

  • Option A: \( V_m \) assumes an ideal diode with zero threshold voltage.
  • Option B: \( V_m - 2V_D \) is the peak load voltage for a bridge rectifier, where two diodes conduct in series.
  • Option D: \( 2V_m - 2V_D \) incorrectly uses the full end-to-end secondary voltage.

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