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File:RMS voltage average power.svg

Original file ‎(SVG file, nominally 720 × 540 pixels, file size: 19 KB)

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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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

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Under the following conditions:
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inception

25 April 2016

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Date/TimeThumbnailDimensionsUserComment
current18:21, 19 July 2021Thumbnail for version as of 18:21, 19 July 2021720 × 540 (19 KB)RiedleroDcompressed losslessly by hand
01:51, 28 October 2016Thumbnail for version as of 01:51, 28 October 2016720 × 540 (51 KB)OmegatronUser created page with UploadWizard
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