Physics Alternating Current PMDC Conceptual Practice
PMDC Verified Question 46 of 127
What is the peak factor (crest factor) of a sinusoidal alternating current waveform?
A
\(1.11\)
B
\(1.414\)
C
\(0.707\)
D
\(2.00\)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: \(1.414\)
Concept:

The peak factor (crest factor) of an AC waveform is the ratio of its peak value to its root-mean-square value.

Formula / Reaction:

$$\text{Peak Factor} = \frac{I_0}{I_{\text{rms}}} = \frac{I_0}{I_0 / \sqrt{2}} = \sqrt{2} \approx 1.414$$

Solution:

  • For any sinusoidal waveform, the peak value is \(\sqrt{2}\) times the RMS value.


  • Therefore, the peak factor is \(\sqrt{2} \approx 1.414\).


Why other options are incorrect:

  • Opt_A: \(1.11\) is the form factor.


  • Opt_C: \(0.707\) is the inverse of the peak factor (\(1/\sqrt{2}\)).


  • Opt_D: \(2.00\) is the ratio of peak-to-peak value to peak value.

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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