Quality Factor (Q) in LC Circuit
Quality factor or Q factor of an LC circuit is a measure of the goodness of the LC circuit an determines how efficiently the energy is transferred in a given LC circuit. It is generally desirable to have a high Q factor as it indicates less energy loss and high efficiency. Mathematically, we can define quality factor as the ratio of power dissipated across inductor to the power dissipated across resistance in an LC circuit.
where Q, I, X and R represent Quality Factor, current, inductance and resistance of the LC circuit.
Let us calculate Quality (Q) factor for series and parallel LC circuit.
Q-Factor in Series LC Circuit
We know that Q = XL/R.
As XL = ω0L
Q = ωoL/R
In a series LC circuit, at resonance:
Q-Factor in Parallel LC Circuit
The Q-Factor a parallel LC circuit is the inverse of the Q-factor of a series LC circuit. Thus Q-factor of a parallel LC circuit is given by:
LC Circuits
LC Circuit is a special type of electric circuit that is made up of an Inductor and a Capacitor. The inductor is represented by using the symbol L whereas the capacitor is represented using the symbol C. Hence, the name LC Circuit. LC Circuit acts as a major electric component in various devices such as oscillators, tuners, and filters. Thus LC circuit finds a number of applications in daily life. In this article, we shall discuss the LC circuit in detail.