File:ChildLangmuirLawGraph1.svg
Summary
| Description |
English: Graph of Child-Langmuir Law is shown, namely dependence of anode current on anode voltage in an idealized vacuum diode. A (cathode area) = 1 cm2, d (cathode-anode distance = 1 cm). Formula used is from Child's Law section in Space charge article on english wikipedia.
Created using python from matplotlib.pyplot import *
from math import sqrt
from numpy import linspace
fig = figure(figsize=(4,4))
ax1 = fig.add_subplot(111)
ax1.grid(True)
A = 1e-4 # cathode are = 1 cm^2
d = 1e-2 # cathode-anode distance = 1cm
Va = linspace(0,300,100)
e = 1.6e-19 # electronic charge
m = 9.11e-31 # electronic mass
e0 = 8.85e-12 # permitivitty of free space
def childLaw(V):
return 4.*e0*sqrt(4.*e/m)*A*V**1.5/(d**2*9.)
Ia = childLaw(Va)
ax1.plot(Va,Ia)
ax1.grid(True)
ax1.set_xlabel(r"$V_a$")
ax1.set_ylabel(r"$I_a$")
#fig.show()
fig.savefig("ChildLangmuirLawGraph1.svg",bbox_inches="tight",\
pad_inches=.15)
Српски / srpski: Приказан је граф Чајлд-Лангмуировог закона, то јест овисност анодне струје о анодном напону за идеализирану вакуумску диоду. Површина катоде А = 1 cm2, удаљеност катода-анода d = 1 cm. Кориштена формула је из чланка Термоелектронска емисија на српској википедији. |
| Date | |
| Source | Own work |
| Author | Krishnavedala |
| Other versions |
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| SVG development | Category:Valid SVG created with Gnuplot:Diagrams#ChildLangmuirLawGraph1.svg  Category:Translation possible - SVGThis plot uses embedded text that can be easily translated using a text editor. |
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Krishnavedala, the copyright holder of this work, hereby publishes it under the following license:
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
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