Physics Electronics PMDC Conceptual Practice
PMDC Verified Question 273 of 494
What is the theoretical Crest Factor (Peak Factor, \( \text{CF} = V_{\text{peak}} / V_{\text{rms}} \)) of a half-wave rectified sinusoidal waveform?
A
2.0
B
1.414
C
1.11
D
1.57
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: 2.0
Concept:

The Crest Factor (Peak Factor) is defined as the ratio of the peak (maximum) value to the RMS value of a waveform.

Formula:

$$\text{CF}_{\text{half-wave}} = \frac{V_{\text{peak}}}{V_{\text{rms}}} = \frac{V_m}{V_m / 2} = 2.0$$

Solution:

  • For a half-wave rectifier, \( V_{\text{peak}} = V_m \) and \( V_{\text{rms}} = V_m / 2 \).


  • Dividing the peak value by the RMS value gives \( \text{CF} = \frac{V_m}{V_m / 2} = 2.0 \).


Why other options are incorrect:

  • Option B: 1.414 (\( \sqrt{2} \)) is the Crest Factor of a full-wave rectified wave or pure sine wave.
  • Option C: 1.11 is the Form Factor of a full-wave rectifier.
  • Option D: 1.57 is the Form Factor of a half-wave rectifier.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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