# Tips for Making True RMS AC Measurements with a DMM

2018-08-22  |  6 min read

True RMS responding DMMs measure the "heating" potential of an applied voltage. Power dissipated in a resistor is proportional to the square of an applied voltage, independent of the wave shape of the signal. Today’s general purpose DMMs can accurately measures true RMS voltage or current, as long as the wave shape contains negligible energy above the meter’s effective bandwidth (more on this in a bit). Most DMM's ACV and ACI functions measure the AC–coupled true RMS value (DC is rejected). For symmetrical waveforms like sinewaves, triangle waves, and square waves, the AC–coupled and AC+DC values are equal, since these waveforms do not contain a DC offset. However, for non–symmetrical waveforms (such as pulse trains) there is a DC voltage content, which is rejected by AC–coupled true RMS measurements. DC rejection is desirable in certain applications such as when you want to measure the AC ripple present on DC power supplies. For situations where you want to know the AC+DC true RMS value, you can determine it by combining results from DC and AC measurements, as shown below: A common misconception is that "since an AC multimeter is true RMS, its sine wave accuracy specifications apply to all waveforms." Actually, the shape of the input signal can dramatically affect measurement accuracy for any multimeter, especially when that input signal contains high–frequency components which exceed the instrument’s bandwidth. As an example, consider a pulse train, one of the most challenging waveforms for a multimeter. The pulse–width of that waveform largely determines its high–frequency content. The frequency spectrum of an individual pulse is determined by its Fourier Integral. The frequency spectrum of the pulse train is the Fourier Series that samples along the Fourier Integral at multiples of the input pulse repetition frequency (PRF).

The below figure shows the Fourier Integral of two different pulses: one of broad width (200 μs); the other narrow (6.7 μs). Keysight's 34460A/61A series and 34465A/70A series of DMMs have an effective AC measurement bandwidth of 300 kHz.  If we used one of these DMMs to measure the RMS ACV value of both pulses in the figure the measured value of the broader pulse will be more accurate than the measured value of the narrow pulse since its frequency components outside of the DMM's bandwidth are larger in amplitude.