Physics Electronics PMDC Conceptual Practice
PMDC Verified Question 404 of 494
A full-wave bridge rectifier using four silicon diodes (each with \( V_B = 0.7\text{ V} \)) is supplied by an AC source with peak voltage \( V_m = 21.4\text{ V} \). What is the peak voltage across the load resistor?
A
\( 21.4\text{ V} \)
B
\( 20.0\text{ V} \)
C
\( 20.7\text{ V} \)
D
\( 19.3\text{ V} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: \( 20.0\text{ V} \)
Concept:

In a bridge rectifier, current flows through two conducting diodes in series during each half-cycle, producing a total forward drop of \( 2V_B \).

Formula:

$$V_{\text{load, peak}} = V_m - 2V_B$$

Solution:

  • Two forward-biased diodes conduct in series with the load during each half-cycle.


  • Total forward barrier drop: \( 2 V_B = 2 \times 0.7\text{ V} = 1.4\text{ V} \).


  • Calculate peak load voltage:


  • $$V_{\text{load, peak}} = 21.4\text{ V} - 1.4\text{ V} = 20.0\text{ V}$$


Why other options are incorrect:

  • Option A: \( 21.4\text{ V} \) neglects the diode voltage drops entirely (ideal model).
  • Option C: \( 20.7\text{ V} \) subtracts only a single diode drop (\( 0.7\text{ V} \)), which applies to center-tapped rectifiers rather than bridge rectifiers.
  • Option D: \( 19.3\text{ V} \) subtracts three diode drops (\( 2.1\text{ V} \)).

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