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Pulsed Power Toolbox




This is the start of a collection of Pulsed Power related formulas and calculators that I found usefull. However, whenever I could find resources on the internet already, I tried to refer to them rather than to re-invent the wheel. Consequently you might also find some of the links provided helpful.

 


Formulas for the Calculation of Common Capacitances*)

(unless otherwise noted use SI-units in all presented formulas)

*) Of course no guarantee is given for the accuracy of the listed formulaes or the calculators although I tried my best to select the formulas carefully from the literature. Please let me know when you find any mistakes.



 

capacitance



formula



example




parallel plates




A >> d2:





 

A = 2 cm2
d = 0.2 cm
C = 88.5 fF


long parallel strips



For w/d < 1:





For w/d > 1:






 

  w = mm
  d = mm
pF/cm


isolated disk








 

  r = cm
pF


two spheres of equal size








 

  r = cm
  d = cm
pF


isolated sphere








 

  r = cm
pF


concentric spheres






εr: relative permittivity
of dielectric between spheres


 

  εr  
  r = cm
  R = cm
pF


coaxial cable






εr: relative permittivity
of dielectric between conductors


 

  εr =  
  R = mm
  r = mm
pF/m


infinetly long, thin wire







 

  h = cm
  r = mm
pF/m
 

For h>>r:





 
h = 100 cm
r = 0.5 mm
C = 6.7 pF/m


thin wire of finite length







S-factor is computed automatically

(argument 2h/l or l/2h dpending on which is less than unity)



 

  h = cm
  r = mm
  l = cm
pF


prallel wires over ground








 

  r = mm
  w = cm
  h = cm
pF/m


prallel wires remote from ground







 

  r = mm
  w = cm
pF/m


parallel wires of finite length
above ground









 

 


vertical aligned wires
parallel to ground





calculated like
"parallel wires over ground"
with h = (h1+h2)/2



 

 


single layer solenoid






N: number of turns


 

  R = mm
  r = mm
  l = mm
  N =  
pF


   References:

    1) F.E. Terman, Radio Engineers' Handbook, McGraw-Hill, New York, 1943.