File:RMS voltage average power.svg

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Summary

Description
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.
  • The peak power is shown by the red line.
  • The average power is shown by the green line.
Date
Source Own work
Author Omegatron
SVG development
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The SVG code is valid.
 
This plot was created with Matplotlib.
Source code
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Python code

Source code 
import matplotlib.pyplot as plt
from numpy import sin, pi, sqrt, mean, amax, linspace

t = linspace(0, 1.5, 1000)
sig = sin(2*pi*t)
Vrms = 1/sqrt(2)
power = sig**2  # R = 1 ohm
Ppeak = 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

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
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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 the same or compatible license as the original.

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inception

25 April 2016

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current18:21, 19 July 2021Thumbnail for version as of 18:21, 19 July 2021720 × 540 (19 KB)wikimediacommons>RiedleroDcompressed losslessly by hand

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