The quality factor relates the maximum or peak energy stored in the circuit (the reactance) to the energy dissipated (the resistance) during each cycle of oscillation meaning that it is a ratio of resonant frequency to bandwidth and the higher the circuit Q, the smaller the bandwidth, Q = ƒr /BW. Simple formulas relate the losses and bandwidth to the Q. The bandwidth can be calculated as BW = f res /Q 4. 0 V requires a power (p) = 0. 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. The sharpness of the peak is measured quantitatively and is called the Quality factor, Q of the circuit. 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. 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. into above Eq. Compare them and draw conclusions. In physics and engineering the quality factor or Q factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. If R = 2 kΩ, C= 0.1μF,then the value of inductance is asked Jan 20, 2019 in Physics by kajalk ( 77.6k points) Table 3: Comparison table Electrical Resonance in Series LCR Circuit and Quality Factor Electrical Resonance in Series LCR Circuit. Items 5 and 6 are the same as for the series resonant circuits, but the rest are quite different. The frequency response of the circuits current magnitude above, relates to the “sharpness” of the resonance in a series resonance circuit. 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. Find the quality factor of a circuit with capacitance C = 2. The LCR Parallel Resonant Circuit. 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. 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. A series resonant LCR circuit has a quality factor (Q-factor) 0.4. 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