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File:RMS voltage average power.svg

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Summary

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DescriptionRMS voltage average power.svg

English: Diagram showing a voltage waveform and the corresponding power waveform (dissipated by a resistive load).

The power is zero when the voltage is zero. Otherwise, the power waveform is always positive, as the resistor can only dissipate energy; it cannot supply energy to the circuit. In other words, the resistor outputs power regardless of whether the voltage is positive or negative.

The RMS voltage is shown by the blue line. $V_{\mathrm {rms} }={\frac {V_{\mathrm {pk} }}{\sqrt {2}}}$
The peak power is shown by the red line. $P_{\mathrm {pk} }={\frac {{V_{\mathrm {pk} }}^{2}}{R}}$
The average power is shown by the green line. $P_{\mathrm {avg} }={\frac {P_{\mathrm {pk} }}{2}}={\frac {{V_{\mathrm {rms} }}^{2}}{R}}$

Date

25 April 2016

Source

Own work

Author

Omegatron

SVG development

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TheSVG code isvalid.

This plot was created withMatplotlib.

Source code

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Python code

Source code

importmatplotlib.pyplotaspltfromnumpyimportsin,pi,sqrt,mean,amax,linspacet=linspace(0,1.5,1000)sig=sin(2*pi*t)Vrms=1/sqrt(2)power=sig**2# R = 1 ohmPpeak=amax(power)Pavg=mean(power[t<1])plt.figure()plt.subplot(2,1,1)plt.plot(t,sig,color='0.2',lw=1.5)plt.axhline(Vrms,color='blue',ls='-',lw=1.2,alpha=0.8)plt.ylabel('Voltage [V]')plt.margins(0,0.1)plt.xticks(linspace(0,1.5,7))plt.yticks([-1,-0.5,0,0.5,1,Vrms])plt.grid(True,color='0.2',linestyle=':')plt.subplot(2,1,2)plt.plot(t,power,color='0.2',lw=1.5)plt.axhline(Ppeak,color='red',ls='-',lw=1.2,alpha=0.8)plt.axhline(Pavg,color='green',ls='-',lw=1.2,alpha=0.8)plt.xlabel('Time [s]')plt.ylabel('Power [W]')plt.margins(0,0.1)plt.ylim(-1.2,1.2)plt.xticks(linspace(0,1.5,7))plt.grid(True,color='0.2',linestyle=':')plt.tight_layout()plt.savefig('RMS voltage vs average power.svg')

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:

This file is licensed under theCreative Commons Attribution-Share Alike 4.0 International license.

You are free:

to share – to copy, distribute and transmit the work
to remix – to adapt the work

Under the following conditions:

attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
share alike – If you remix, transform, or build upon the material, you must distribute your contributions under thesame or compatible license as the original.

https://creativecommons.org/licenses/by-sa/4.0CC BY-SA 4.0Creative Commons Attribution-Share Alike 4.0truetrue

References

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About rmsarchive copy at theWayback Machine, W.D. Phillips

http://www.doctronics.co.uk/images/sig_05.gifarchive copy at theWayback Machine

RMS and power in single and three phase AC circuits UNSW

http://www.animations.physics.unsw.edu.au/jw/images/power_files/Vrms.gif

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RMS voltage

274

720

540

Peak power

316

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Average power

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	18:21, 19 July 2021		720 × 540(19 KB)	RiedleroD(talk \|contribs)	compressed losslessly by hand
	01:51, 28 October 2016		720 × 540(51 KB)	Omegatron(talk \|contribs)	User created page with UploadWizard

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- 오디오 파워

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