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1. None of the cheap panel meters on eBay are true-RMS meters, I believe I specifically pointed that out when I talked about my desire to have a pure sine wave transformer for the bench.

2. The required accuracy is really application dependent.  However, I equate voltage measurements to something a wise old rifleman said once:  "Only accurate rifles are interesting".  Same applies to electronic measurements of any kind for me, only accurate results are interesting to me.  Townsend Whelen is the man you quoted!

Lastly: What the cheap meters we're talking about do is actually exactly that, they rectify the voltage and then measure the DC value.  However, that is NOT true-RMS as you'll see in the references below.

There are also a number of ways of varying accuracy to actually do true-RMS measurements.  When you delve into true-RMS measurements, you'll find it's a fairly complex issue.

Below are few pages that talk about the various measurement methods.  IMO, the most accurate one is time slicing the instantaneous values at a 100x or greater frequency than the signal being measured with a microprocessor and computing the true-RMS value.

Scroll down on this page and they describe the various methods of measuring AC waveforms.

How Accurate is Your RMS Multimeter?

A couple more references about RMS and true-RMS and how they're derived.

What is true-RMS?

What do RMS and True RMS stand for? Here we explain you the differences

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