Physics Electronics PMDC Conceptual Practice
PMDC Verified Question 172 of 494
What is the average DC voltage delivered to a load resistor by a full-wave bridge rectifier with a peak output voltage of \( V_m = 314\text{ V} \)?
A
200 V
B
100 V
C
157 V
D
222 V
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: 200 V
Concept:

The average (DC) value of a full-wave rectified sine wave is given by \( V_{\text{dc}} = \frac{2V_m}{\pi} \).

Formula:

$$V_{\text{dc}} = \frac{2 V_m}{\pi}$$

Solution:

  • Given: \( V_m = 314\text{ V} \approx 100\pi\text{ V} \).


  • \( V_{\text{dc}} = \frac{2 \times 314}{\pi} = \frac{628}{3.14} = 200\text{ V} \).


Why other options are incorrect:

  • Option B: 100 V is the DC output of a half-wave rectifier (\( V_m / \pi \)).
  • Option C: 157 V is half the peak voltage (\( V_m / 2 \)), which is the RMS value of a half-wave rectifier.
  • Option D: 222 V is the RMS value of this full-wave output (\( 314 / \sqrt{2} \approx 222\text{ V} \)).

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