Total Resistance and Total Capacitance of Two-Element Kind of Driving Point Functions

Abstract

The relations for total capacitance (C_t) and total resistance (R_t) of an RC driving point (DP) impedance Z(s) are derived in terms of coefficients of polynomials of numerator and denominator of Z(s). The proposed method uses the structures of the canonic realizations of Z(s) and the values of Z(s) and sZ(s) at s = 0 and ∞. These values which can be determined easily without any knowledge of the actual values of the elements. The method is, therefore, simpler than other known methods. The values of R_t and C_t obtained from the relations derived and by classical methods are found exactly the same. These results are then extended to LC and RL DP functions.

KEYWORDS:

• Driving point functions
• Canonic realizations
• RC functions
• LC functions
• RL functions

DISCLOSURE STATEMENT

No potential conflict of interest was reported by the author(s).

*Please note that the Authors have chosen not to provide their profiles for this article.