AC Circuits: Understand Vpp, Vp & Vrms

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Discussion Overview

The discussion revolves around the concepts of peak voltage (Vp), peak-to-peak voltage (Vpp), and root mean square voltage (Vrms) in the context of AC circuits, particularly in relation to calculations and practical applications. Participants explore when to use each voltage type in calculations involving series-parallel AC circuits, Thevenin equivalents, and superposition.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about when to use peak voltage versus Vrms in calculations, suggesting there may be a standard approach.
  • Another participant explains that peak voltages are useful for instantaneous voltage calculations, while Vrms is typically used for determining average power in AC circuits.
  • A further contribution clarifies that AC mains voltages are expressed in RMS, providing an example of how a 120Vrms voltage corresponds to a peak-to-peak voltage of 339V.
  • One participant describes how to interpret waveforms on an oscilloscope, noting the difference between peak-to-peak and peak measurements, and explains the significance of RMS as a mathematical process for calculating effective heating values.
  • There is a suggestion that users will choose the notation that is most convenient for their specific tasks, emphasizing the importance of clarity in communication.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a standard approach for using Vp, Vpp, and Vrms in calculations, indicating that multiple views and practices exist regarding their application in AC circuit analysis.

Contextual Notes

Participants mention various contexts in which these voltage types are used, but there are no explicit assumptions or limitations identified that restrict the discussion.

Who May Find This Useful

This discussion may be useful for students and practitioners studying AC circuits, particularly those seeking clarification on voltage measurements and their applications in circuit analysis.

Weightofananvil
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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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