Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Peak value divided by the rms value gives us?...
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Peak value divided by the rms value gives us?
- a)Peak factor
- b)Crest factor
- c)Both peak and crest factor
- d)Neither peak nor crest factor
Correct answer is option 'C'. Can you explain this answer?
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Peak value divided by the rms value gives us?a)Peak factorb)Crest fact...
Understanding Peak Value and RMS Value
In electrical engineering, the peak value (Vp) and the root mean square (RMS) value are essential concepts used to describe alternating current (AC) waveforms.
Definitions
- Peak Value (Vp): This is the maximum value of voltage or current in an AC signal.
- RMS Value (Vrms): This represents the effective value of an AC waveform, equivalent to a DC value that would deliver the same power to a load.
Peak Factor and Crest Factor
- Peak Factor: This is defined as the ratio of the peak value to the RMS value. It is mathematically expressed as:
Peak Factor = Vp / Vrms
- Crest Factor: This also represents the ratio of peak value to RMS value. For most sinusoidal signals, it is equivalent to the peak factor.
Why the Correct Answer is 'C'
Both peak factor and crest factor provide the same ratio of peak value to RMS value, hence they are often used interchangeably in the context of AC waveform analysis.
- Key Point: The equation Vp / Vrms yields both the peak factor and the crest factor since they are defined in the same way.
Conclusion
Since the question asks what the peak value divided by RMS value gives us, the correct answer is indeed option 'C' — both peak and crest factor. Understanding this relationship is crucial for analyzing AC circuits and ensuring proper power calculations in electrical engineering.
In electrical engineering, the peak value (Vp) and the root mean square (RMS) value are essential concepts used to describe alternating current (AC) waveforms.
Definitions
- Peak Value (Vp): This is the maximum value of voltage or current in an AC signal.
- RMS Value (Vrms): This represents the effective value of an AC waveform, equivalent to a DC value that would deliver the same power to a load.
Peak Factor and Crest Factor
- Peak Factor: This is defined as the ratio of the peak value to the RMS value. It is mathematically expressed as:
Peak Factor = Vp / Vrms
- Crest Factor: This also represents the ratio of peak value to RMS value. For most sinusoidal signals, it is equivalent to the peak factor.
Why the Correct Answer is 'C'
Both peak factor and crest factor provide the same ratio of peak value to RMS value, hence they are often used interchangeably in the context of AC waveform analysis.
- Key Point: The equation Vp / Vrms yields both the peak factor and the crest factor since they are defined in the same way.
Conclusion
Since the question asks what the peak value divided by RMS value gives us, the correct answer is indeed option 'C' — both peak and crest factor. Understanding this relationship is crucial for analyzing AC circuits and ensuring proper power calculations in electrical engineering.
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Peak value divided by the rms value gives us?a)Peak factorb)Crest factorc)Both peak and crest factord)Neither peak nor crest factorCorrect answer is option 'C'. Can you explain this answer?
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