diff --git a/Lab1.tex b/Lab1.tex index cd7dbf9..29ee8c5 100644 --- a/Lab1.tex +++ b/Lab1.tex @@ -253,6 +253,9 @@ the three different signal types; in all three cases, we first used the oscilloscope to read the period and magnitude of the signal, and then used the DMM to measure the signal's RMS voltage. +Note: our use of the oscilloscope for magnitude measurements will +later be identified as a key source of error. + \subsection{Experiment ~\ref{type:ac} (sinusoidal AC)} Given a read period of $T$ seconds, we calculate the frequency as @@ -465,7 +468,27 @@ As for the second question: the DMM is showing the true RMS regardless of the waveform. \end{quote} +We have arrived independently at RMS voltage values multiple ways, and +have discovered that no waveform yields a particularly higher error +for RMS voltage than any other; in fact, more specifically, the +highest error values are associated only with our analytical +derivation, which relies on an oscilloscope-derived magnitude reading. +I'll review the oscilloscope-derived magnitude problem in a moment, +but I wanted to finish my point abaout the suitability of the DMM to +produce RMS voltage measurements: the lack of particularly high error +values when comparing experimental (DMM) RMS values for any of our +various waveforms indicates that the DMM's suitability does not, +within reason, depend on the waveform it's measuring. + +As for our error: our largest cases of error are when comparing our +experimental and numerical results to our analytical results for 2V +square-wave AC. Despite setting the function generator to 2V, our +oscilloscope nevertheless read a peak-to-peak magnitude of 4.22 and +4.26V (so, a peak-magnitude 2.11V of 2.13V, respectively). This likely +has to do with how the oscilloscope regisers peak-to-peak voltages, +relying on hazy extremes; but also, notably, because we had our +oscilloscope in 10X mode, reducing its signal sensitivity / resolution. \nocite{*} \printbibliography