Electrical resonance is said to take place in a series LCR circuit when the circuit allows maximum current for a given frequency of the source of alternating supply for which capacitive reactance becomes equal to the inductive reactance. Resonance. Generally speaking, for an underdamped RLC system, the quality factor (Q) provides a comparison of the resonant frequency (w0) and the rate of decay or damping factor of the oscillating states (a). Electrical Resonance in Series LCR Circuit and Quality Factor Electrical Resonance in Series LCR Circuit. The sharpness of the peak is measured quantitatively and is called the Quality factor, Q of the circuit. 0 μ F and inductance L = 5. (1) and deduce the quality factor of the series resonant LCR circuit for different values of resistor. Values for quality factor are often seen quoted and can be used in defining the performance of an inductor, a capacitor or tuned circuit. 0 m H if the maintenance of undamped oscillations in the circuit with the voltage amplitude across the capacitor being equal to V m = 1. The frequency response of the circuits current magnitude above, relates to the “sharpness” of the resonance in a series resonance circuit. Parallel resonance, which is more common in electronic practice, requires a more careful definition. The LCR circuit analysis can be understood better in terms of phasors. Resonance in AC circuits implies a special frequency determined by the values of the resistance, capacitance, and inductance.For series resonance the condition of resonance is straightforward and it is characterized by minimum impedance and zero phase. 3. Table 3: Comparison table Simple formulas relate the losses and bandwidth to the Q. When resonance occurs in a parallel RLC circuit, a local current circulates between the inductor and the capacitor. 1 0 m W. The damping of … Compare them and draw conclusions. Items 5 and 6 are the same as for the series resonant circuits, but the rest are quite different. 0 V requires a power (p) = 0. If R = 2 kΩ, C= 0.1μF,then the value of inductance is asked Jan 20, 2019 in Physics by kajalk ( 77.6k points) If the LCR series circuit is just one of the most useful circuits, here is the other one, the LCR Parallel Resonant Circuit! Make a comparison table for the estimated values of bandwidth and quality factor for different resistors. The LCR Parallel Resonant Circuit. In introducing the LCR Series Circuit, one of the most useful combinations of "passive components" in electronics, Module 9 set the groundwork for Module 10. Figure 2 Principle of induction heater and induction cooker. The bandwidth can be calculated as BW = f res /Q 4. into above Eq. It is approximately defined as the ratio of the initial energy stored in the resonator to the energy lost in one radian of the cycle of oscillation. Specifically, Q = w0 / 2a. A sinusoidal voltage of peak value 10 V is applied to a series LCR circuit in which resistance capacitance and inductance have value of 10ohm, 1µF and 1H respectively .find (i)the frequency which drives the circuit at resonance (ii)quality factor of the circuit. In physics and engineering the quality factor or Q factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. An LCR circuit, also known as a resonant circuit, tuned circuit, or an RLC circuit, is an electrical circuit consisting of an inductor (L), capacitor (C) and resistor (R) connected in series or parallel. The Q or quality factor is used with many RF tuned circuits or elements to indicate their performance in an oscillator or other form of resonant circuit. 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