File:ChildLangmuirLawGraph1.svg
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| 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 | File:ChildLangmuirLawGraph1.png |
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I, the copyright holder of this work, hereby publish 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. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:22, 22 June 2011 | | 360 × 360 (16 KB) | Krishnavedala (talk | contribs) | Corrected: incorrect y-axis label |
| 17:17, 22 June 2011 |  | 500 × 550 (16 KB) | Krishnavedala (talk | contribs) | corrected the power of "v" in the equation | |
| 16:46, 4 June 2011 |  | 364 × 359 (30 KB) | Krishnavedala (talk | contribs) | {{Information |Description ={{en|1=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 sec |
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