Inductance and Capacitance Calculations by Decomposition in Thin Rings
By Antonio Carlos M. de Queiroz - acmq@ieee.org
Version 1.9 - 23/3/2004


Calculated: 27.3.2006  Kurt Schraner, 
for Marx Testgap sparklength = 22cm (experimental)

Maximum electric field and breakdown voltage between two spheres
ra: 0.150; rb: 0.150; distance: 0.220; between centers: 0.520
Russel's formula (exact):   14.0493872631 V/m (16 terms)
Vbreakdown: 427.06 kV
North's formula (approx.):   14.1354351182 V/m; Vbreakdown: 424.47 kV
Exact capacitance matrix (Kirchhoff/Russel):
k11(small)=  18.3742592764 pF (15 terms in the series)
k22(large)=  18.3742592764 pF (15 terms in the series)
k12=k21=     -5.3488216909 pF (16 terms in the series)
Lumped Pi model: C. small sphere - ground:   13.0254375855 pF
Lumped Pi model: C. large sphere - ground:   13.0254375855 pF
Lumped Pi model: C. large sphere - small sphere:    5.3488216909 pF
Capacitance between the spheres with opposite charges:   11.8615404837 pF
C. large sphere - ground with small sphere floating:   16.8171955031 pF