Peak value divided by the rms value gives us

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Examoogle · Accepted Answer

Both peak and crest factor

Explanation: The Peak factor (or Crest factor) is defined as the ratio of the peak value of a waveform to its root mean square (RMS) value. Both terms, 'Peak factor' and 'Crest factor', refer to the same mathematical parameter in electrical engineering used to describe the characteristics of AC waveforms.

Working Principle: The RMS value provides a measure of the effective power of a waveform, while the peak value indicates the maximum stress or amplitude. Their ratio provides insight into the 'peakiness' of the signal. For a pure sinusoidal waveform, this value is $\sqrt{2} \approx 1.414$, whereas complex or distorted waveforms yield higher factors.

Key Formulas: $	ext{Peak Factor} = \frac{V_{peak}}{V_{rms}}$ — definition for voltage waveforms; $	ext{Crest Factor} = \frac{I_{peak}}{I_{rms}}$ — definition for current waveforms

Key Points: Peak factor indicates the relationship between peak and effective values.; A higher crest factor implies the presence of high-amplitude spikes in a signal.; For a pure sine wave, the peak factor is $\sqrt{2} \approx 1.414$.; For a square wave, the peak factor is $1.0$.

Advantages: Helps in assessing the stress on insulation due to voltage peaks.; Useful for determining the sizing requirements for peak current handling.

Disadvantages: Does not provide information regarding the frequency spectrum.; Cannot differentiate between waveforms of different shapes that might share the same ratio.

Applications: Power quality analysis of non-linear loads.; Design of insulation systems in high-voltage engineering.

Additional Info: The terms are synonyms used interchangeably in electrical power engineering literature.. Option C is correct as both labels describe the same physical ratio.

Answer: C is correct — The ratio of peak value to RMS value is known as both the Peak factor and the Crest factor.

Exam Tip: Remember that Form Factor is $\frac{V_{rms}}{V_{avg}}$, while Peak/Crest Factor is $\frac{V_{peak}}{V_{rms}}$; do not confuse these two ratios in competitive exams.

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