Discussion Overview
The discussion revolves around the relationship between the root mean square (RMS) of individual waveforms and the RMS of their sum, particularly in the context of non-periodic waveforms. Participants explore the implications of averaging RMS values over cycles versus calculating the RMS of the entire waveform.
Discussion Character
Main Points Raised
- One participant questions whether averaging the RMS of three cycles of a non-periodic waveform is equivalent to taking the RMS of all cycles at once.
- Another participant asserts that the relationship does not hold true in general, providing a specific example with two functions where the individual RMS values do not equal the RMS of their sum.
- A third participant inquires about how to define the size of a cycle in a non-periodic signal.
- A later reply suggests that for non-periodic signals, one must determine average rates to compute RMS, mentioning the necessity of using a frequency counter for random pulses.
- This participant also discusses the nature of current as a stream of electrons, emphasizing the randomness at a microscopic level and the concept of average current.
Areas of Agreement / Disagreement
Participants express disagreement regarding the relationship between the RMS values, with no consensus reached on the validity of averaging RMS values for non-periodic waveforms.
Contextual Notes
Participants highlight the challenges in defining cycles for non-periodic signals and the need for specific methods to calculate RMS in such cases, indicating potential limitations in assumptions about periodicity.