AC Circuits: Understand Vpp, Vp & Vrms

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SUMMARY

The discussion focuses on the distinctions between peak voltage (Vp), peak-to-peak voltage (Vpp), and root mean square voltage (Vrms) in AC circuits. It highlights that Vp is essential for instantaneous voltage calculations, while Vrms is crucial for determining average power in AC circuits. The conversation also clarifies that AC mains voltages, such as 120Vrms, correspond to higher peak-to-peak values, specifically 339Vpp. The RMS value is defined as the effective heating value of an AC voltage or current, particularly for sine waves, where the conversion factor from peak to RMS is 0.707.

PREREQUISITES
  • Understanding of AC circuit fundamentals
  • Familiarity with Thevenin equivalents
  • Knowledge of superposition theorem in circuit analysis
  • Basic skills in using oscilloscopes for waveform analysis
NEXT STEPS
  • Study the mathematical derivation of RMS voltage for different waveforms
  • Learn how to calculate power in AC circuits using Vrms
  • Explore the use of function generators in AC circuit experiments
  • Investigate the implications of using peak versus RMS values in practical applications
USEFUL FOR

Electrical engineering students, circuit designers, and technicians working with AC circuits and waveform analysis will benefit from this discussion.

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Hi, I am studying AC circuits involving series-parallel ac circuits, thevenin equivalents, superposition etc.
In labs on our function generators you are always setting a Vp or Vpp depending on model. I'm a little confused though when in calculations you should use peak and when you should use Vrms.

I know most things will work either way, but there has to be a standard?
Its all just a little confusing and I don't see what to use when.

Thanks.
 
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Peak voltages are useful for working with instantaneous voltages, for example the instantaneous voltage of a sine wave at time t is given by V(t)=Vp * sin(wt).

Vrms is typically used when you need to work out average power in an ac circuit. You can't just multiply the current by the average voltage because for a sine wave the average is zero.
 
To add a little to CWatters' reply, the AC Mains voltages that we talk about (110V, 120V, 220V, 240V, etc.) are RMS voltages, since they are associated with the power grid. so a 120Vrms AC Mains voltages is actually 120V * 2√2 = 339Vpp. :smile:
 
When looking at a waveform on an oscilloscope it is natural to look at the top and bottom of the wave, that distance is P-P. If you look from zero to top or bottom it's Peak.

RMS is a math process that calculates the "effective heating value" of a non-DC voltage or current. It gives the DC voltage that'd make the same heat in a load as the AC whose heating value is being calculated.
When you see it it almost invariably refers to a sine wave AC voltage or current. Peak to RMS for sinewave is 0.707, √2/2 .

voltage_measurement2.gif

http://www.hobbyprojects.com/oscilloscope_tutorial/voltage_measurements.html

Standard ? Every user will use whichever notation is most convenient for the task at hand. Hopefully he'll make it clear which he's using.
 

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