Generalized Description of the Frequency Characteristics of Resistors

摘要

The real resistor in AC current can be described as an impedance Z of components changed with frequency. The real part R_s of this impedance is not equal to the resistance R in the DC current, and there is the imaginary component X_s, both frequency dependent. A three-element equivalent circuit including the resistance R as the main parameter and the residual parameters: serial inductance L and a parallel capacitance C is the basic AC model of a real resistor. Frequency characteristics of impedance Z components of this model in relative to R values r_s, x_s are given. Patterns of these components in generalized form, i.e. as functions of the relative values of characteristic resistance {formula} and characteristic frequency {formula} of this equivalent circuit are determined and their frequency curves for a few values of p are shown. Variants of this model with four models of connections are analyzed. Relative errors δR, δX and {formula} are also find. Few numerical examples are given and considerations are of changes of errors in the frequency band. Some conclusions are included.