EL10A - Circuit Analysis

Important Definitions

Impedance is a complex number and is defined as the ratio of the phasor voltage to the phasor current. The Unit of measurement is the Ohm. Z=V/I, where V and I are complex numbers, and represent the volatge and current respectively.

Admittance is a complex number and is defined as the reciprocal of impedance. The Unit of measurement is the Siemens. Y=1/Z, where Z is a complex number and represents the impedance.

Reactance is a real number and is defined as the imaginary part of the impedance. The Unit of measurement is the Ohm. X=Im(Z), where Z is a complex number and represents the impedance.

Susceptance is a real number and is defined as the imaginary part of the admittance. The Unit of measurement is the Siemens. B=Im(Y), where Y is a complex number and represents the admittance.

Apparent Power is a real number and is defined as the product of the rms voltage and the rms current. The Unit of measurement is the VoltAmpere.

Active Power is a real number and is defined as the product of the rms voltage, the rms current and the cosine of the angle between them. The Unit of measurement is the Watt.

Quadrature Power is a real number and is defined as the Imaginary part of the Complex Power. The Unit of measurement is the VoltAmpere Reactive (var). Q=Im(S), where S represents the complex power.

Power Factor is the cosine of the angle between the voltage and current phasors. it is leading if the angle is positive and lagging if the angle is negative.

A Bode plot is a sketch of magnitude, expressed in decibels(dB), and phase versus the logarithm of frequency. These are useful in the frequency analysis of filters and network functions.

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