AC Circuits: Understand Vpp, Vp & Vrms

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In summary, peak voltages are useful for working with instantaneous voltages, while RMS voltages are typically used when working out average power in an ac circuit.
  • #1
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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  • #2
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.
 
  • #3
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:
 
  • #4
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.
 

FAQ: AC Circuits: Understand Vpp, Vp & Vrms

1. What is the difference between Vpp, Vp, and Vrms in AC circuits?

Vpp, or peak-to-peak voltage, is the difference between the maximum and minimum voltage values in an AC circuit. Vp, or peak voltage, is the maximum voltage value in an AC circuit. Vrms, or root mean square voltage, is the equivalent DC voltage that produces the same amount of heat in a resistor as the AC voltage.

2. How do you calculate Vpp, Vp, and Vrms in an AC circuit?

To calculate Vpp, simply subtract the minimum voltage value from the maximum voltage value. To calculate Vp, take the highest voltage value in the circuit. To calculate Vrms, take the square root of the mean of the squared voltage values over one period of the AC waveform.

3. Why is Vrms used as a measure of voltage in AC circuits?

Vrms is used as a measure of voltage in AC circuits because it takes into account both the peak and average voltage values over one period. This is important because the peak voltage only occurs for a brief moment in an AC circuit, while the average voltage value is constantly changing. Vrms gives a more accurate representation of the voltage in an AC circuit.

4. How does the value of Vrms compare to the value of Vp and Vpp in an AC circuit?

Vrms is always less than or equal to Vp and Vpp in an AC circuit. This is because Vrms takes into account the entire AC waveform and calculates the equivalent DC voltage, while Vp and Vpp only consider the maximum voltage value at a single point in time.

5. What is the significance of understanding Vpp, Vp, and Vrms in AC circuits?

Understanding Vpp, Vp, and Vrms in AC circuits is crucial for designing and analyzing electrical circuits. These values can help determine the amount of voltage that a circuit can handle, the efficiency of a circuit, and the potential power that can be delivered to a load. Additionally, understanding these values can aid in troubleshooting and diagnosing issues in AC circuits.

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