ACCURACY OF APPROXIMATE FORMULAS FOR INTERNAL IMPEDANCE OF TUBULAR CYLINDRICAL CONDUCTORS FOR LARGE PARAMETERS

2011 ◽  
Vol 16 ◽  
pp. 171-184 ◽  
Author(s):  
Dino Lovric ◽  
Vedran Boras ◽  
Slavko Vujevic
Keyword(s):  
Internal Impedance ◽  
Cylindrical Conductors ◽  
Approximate Formulas

scholarly journals On the numerical computation of cylindrical conductor internal impedance for complex arguments of large magnitude

2017 ◽  
Vol 30 (1) ◽  
pp. 81-91 ◽  
Author(s):  
Slavko Vujevic ◽  
Dino Lovric
Keyword(s):  
Numerical Computation ◽  
Numerical Algorithm ◽  
Bessel Functions ◽  
Unit Length ◽  
Exact Formula ◽  
Asymptotic Approximations ◽  
Modified Bessel Functions ◽  
Large Magnitude ◽  
Internal Impedance ◽  
Cylindrical Conductors

In this paper a numerical algorithm for computation of per-unit-length internal impedance of cylindrical conductors under complex arguments of large magnitude is presented. The presented algorithm either numerically solves the scaled exact formula for internal impedance or employs asymptotic approximations of modified Bessel functions when applicable. The formulas presented can be used for computation of per-unit-length internal impedance of solid cylindrical conductors as well as tubular cylindrical conductors.

Internal impedance characterization for black box signal source

1997 ◽  
Author(s):  
K. C. Cheok ◽  
G. E. Smid ◽  
K. Kobayashi ◽  
F. Miesterfeld ◽  
R. Hormel
Keyword(s):  
Black Box ◽  
Signal Source ◽  
Internal Impedance ◽  
Impedance Characterization

Some Approximate Atomic and Molecular Energy Formulas

2003 ◽  
Vol 68 (1) ◽  
pp. 61-74 ◽  
Author(s):  
Peter Politzer ◽  
Abraham F. Jalbout ◽  
Ping Jin
Keyword(s):  
Density Functional ◽  
Electrostatic Potentials ◽  
Hartree Fock ◽  
Chemical Potentials ◽  
Approximate Formulas

We have tested several approximate formulas that relate atomic and molecular energies to the electrostatic potentials at the nuclei, V0 and V0,A, respectively. They are based upon the assumption that the chemical potentials can be neglected relative to V0 and V0,A. Exact, Hartree-Fock and density-functional values were used for the latter. The results are overall encouraging; the errors in the energies generally decrease markedly as the nuclear charges Z increase and the assumptions become more valid. Improvement is needed, however, in fitting the V0 and V0,A to Z.

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