Which Values Should I Use When Calculating Power in a Circuit?

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SUMMARY

When calculating power in a circuit, RMS (Root Mean Square) values are standard for sinusoidal waveforms, while peak values may be relevant in circuits with significant reactive elements. Accurate power measurement requires both instantaneous voltage and current data, with the mean power calculated as the average of the product of these two quantities over time. For purely resistive components, formulas such as Instantaneous Power = V²/R or I²R can be utilized. The 1/√2 factor used to derive RMS from peak voltage assumes a sine wave and pure resistance, making it less applicable for non-sinusoidal waveforms or non-ohmic loads.

PREREQUISITES
  • Understanding of RMS (Root Mean Square) values
  • Knowledge of instantaneous voltage and current measurements
  • Familiarity with power calculation formulas (V²/R, I²R)
  • Basic concepts of reactive components in electrical circuits
NEXT STEPS
  • Research the differences between RMS and peak power calculations in AC circuits
  • Learn about measuring instantaneous voltage and current in electrical components
  • Explore the impact of reactive elements on power calculations
  • Study non-ohmic loads and their effect on power measurement accuracy
USEFUL FOR

Electrical engineers, circuit designers, and students studying electrical engineering who need to understand power calculations in various circuit configurations.

Nile Anderson
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When I am calculating the power in the circuit , do I use the RMS values , or the peak values and why ?
 
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RMS values are standard.
 
Thank you !
 
Nile Anderson said:
When I am calculating the power in the circuit , do I use the RMS values , or the peak values and why ?
I may be being difficult but what circuit and where is the value of the power, relevant? The peak power in a circuit with significant reactive elements in it could be very relevant - particularly if the waveform is not close to a sinusoid. RMS is certainly near enough for Jazz in most cases.
 
sophiecentaur said:
I may be being difficult but what circuit and where is the value of the power, relevant? The peak power in a circuit with significant reactive elements in it could be very relevant - particularly if the waveform is not close to a sinusoid. RMS is certainly near enough for Jazz in most cases.
Sorry , it would be sinusoidal in nature. What did you mean by enough for jazz though ?
 
Nile Anderson said:
Sorry , it would be sinusoidal in nature. What did you mean by enough for jazz though ?
"Near enough for Jazz" is a common expression which means 'accurate enough for the purpose'. When you read an unfamiliar idiom, Google is almost certain to help you with it. There a dozens of hits for "near enough for jazz".
Measuring Power in an electrical circuit has a few issues. If you really want to know the power being dissipated in a component (Resistor,light bulb, LED, motor - you name it) you need to know both the instantaneous Volts and the Current. Then the Mean power for any component is the average value of VI, over a given time. That involves no assumptions and involves measurements of two quantities. If the component is pure Ohmic resistance then you can use
Instantaneous Power = V2/R or I2R and use either just V or I.
To find the average power - say over a cycle or an hour, you average all those instantaneous values of power. The 1/√2 figure that people use for working out RMS power from Peak Volts (for instance) definitely assumes a sine wave and a pure resistance and would not work perfectly for any other waveforms or non ohmic loads.
So "you pays your money and you takes your pick" :wink:
 
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sophiecentaur said:
"Near enough for Jazz" is a common expression which means 'accurate enough for the purpose'. When you read an unfamiliar idiom, Google is almost certain to help you with it. There a dozens of hits for "near enough for jazz".
Measuring Power in an electrical circuit has a few issues. If you really want to know the power being dissipated in a component (Resistor,light bulb, LED, motor - you name it) you need to know both the instantaneous Volts and the Current. Then the Mean power for any component is the average value of VI, over a given time. That involves no assumptions and involves measurements of two quantities. If the component is pure Ohmic resistance then you can use
Instantaneous Power = V2/R or I2R and use either just V or I.
To find the average power - say over a cycle or an hour, you average all those instantaneous values of power. The 1/√2 figure that people use for working out RMS power from Peak Volts (for instance) definitely assumes a sine wave and a pure resistance and would not work perfectly for any other waveforms or non ohmic loads.
So "you pays your money and you takes your pick" :wink:
Cool thank you so much for your input , it was really helpful
 

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