The value of peak factor is

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1.414

Explanation: The correct answer is D) 1.414. The peak factor, also known as the crest factor, is defined as the ratio of the peak value of a waveform to its root mean square (RMS) value. Working Principle: In an AC circuit, the peak value corresponds to the maximum value of the voltage or current, while the RMS value quantifies the equivalent direct current value that would deliver the same power. For a sine wave, the peak factor is calculated as \frac{\sqrt{2}}{1} = 1.414, which represents the inherent relationship between peak value and RMS value in sinusoidal waveforms. Key Formulas: $ ext{Peak Factor} = \frac{V_{peak}}{V_{RMS}} = 1.414$ — Ratio of peak voltage/current to RMS voltage/current for sinusoidal waveforms Key Points: The peak factor for a pure sine wave is always approximately 1.414.; Understanding the peak factor is crucial in designing AC circuits for power efficiency. Advantages: Helps in understanding power delivery in AC systems; Facilitates safe electrical design by evaluating voltage and current levels Disadvantages: Does not represent non-sinusoidal waveforms accurately; May lead to miscalculations if used inappropriately with different waveforms Applications: Power systems analysis; Electrical engineering design and diagnostics Additional Info: Standard Values: Standard peak factor for sinusoidal waveforms is 1.414.. Wrong Options Explained: Option A = 0 is incorrect as there are no values of AC waveforms that can have zero peak; Option B = 1 is incorrect since RMS is always less than peak for sinusoidal waves; Option C = 1.11 does not reflect the true relation of peak and RMS for standard sine waves. Answer: D is correct — it accurately reflects the peak factor of a sinusoidal waveform. Exam Tip: When studying AC electrical concepts, always consider the relationship between RMS and peak values, as it is fundamental in understanding power distribution.

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