Capacitor Q Factor Equation

The quality factor or q of a capacitor is the ratio of its reactance to its resistance at a given frequency and is a measure of its efficiency. The lost energy is the sum of the energies.

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The sharpness of the peak is measured quantitatively and is called the quality factor q of the circuit.

Capacitor q factor equation. In electrical systems the stored energy is the sum of energies stored in lossless inductors and capacitors. Calculate the resonant frequency the current at resonance the voltage across the inductor and capacitor at resonance the quality factor and the bandwidth of the. From the above equation for inductive reactance.

Dissipation factor is also known as the tangent of the loss angle and is commonly expressed in percent. Thus in this case also the q is a dimensionless quantity since the unit of both reactance and resistance is the same and it is ohm. Simple formulas can relate the variables.

More formally q is the ratio of power stored to power. Recognized standards express the dissipation factor at specific frequencies typically 120hz for aluminum electrolytic and tantalum capacitors while for film capacitors is 1 khz and 1 mhz for ceramic capacitors. The higher the q factor of the capacitor the closer it approaches the behavior of an ideal capacitor.

The q factor of a capacitor also known as the quality factor or simply q represents the efficiency of a given capacitor in terms of energy losses. It is defined as. Equations for combining capacitors in series and parallel are given below.

Additional equations are given for capacitors of various configurations. A higher value for this figure of merit corresponds to a more narrow bandwidth which is desirable in many applications. The q or quality factor of a resonant circuit is a measure of the goodness or quality of a resonant circuit.

The q factor of a capacitor can be found through the following formula. Where qc is the quality factor xc is the reactance of the capacitor c the capacitance of the capacitor rc is the equivalent series resistance esr of the capacitor and w0. The capacitors ability to store this electrical charge q between its plates is proportional to the applied voltage v for a capacitor of known capacitance in farads.

Quality factor q factor. Note that capacitance c is always positive and never negative. Formulas and equations the quality factor or q factor is a measure of the performance of a coil capacitor inductor in terms of its losses and resonator bandwidth.

As these figures and formulas indicate capacitance is a measure of the ability of two surfaces to store an electric charge. The factor 2 p makes q expressible in simpler terms involving only the coefficients of the second order differential equation describing most resonant systems electrical or mechanical. The q factor or the quality factor of a capacitor at the operating frequency w is defined as the ratio of the reactance of the capacitor to its series resistance.

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