If R = 2 kΩ, C= 0.1μF,then the value of inductance is asked Jan 20, 2019 in Physics by kajalk ( 77.6k points) 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. 0 μ F and inductance L = 5. The sharpness of the peak is measured quantitatively and is called the Quality factor, Q of the circuit. (1) and deduce the quality factor of the series resonant LCR circuit for different values of resistor. Find the quality factor of a circuit with capacitance C = 2. Make a comparison table for the estimated values of bandwidth and quality factor for different resistors. When resonance occurs in a parallel RLC circuit, a local current circulates between the inductor and the capacitor. The LCR Parallel Resonant Circuit. Resonance. 0 V requires a power (p) = 0. into above Eq. The LCR circuit analysis can be understood better in terms of phasors. Items 5 and 6 are the same as for the series resonant circuits, but the rest are quite different. A series resonant LCR circuit has a quality factor (Q-factor) 0.4. 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. Simple formulas relate the losses and bandwidth to the Q. Specifically, Q = w0 / 2a. If the LCR series circuit is just one of the most useful circuits, here is the other one, the LCR Parallel Resonant Circuit! The bandwidth can be calculated as BW = f res /Q 4. Parallel resonance, which is more common in electronic practice, requires a more careful definition. The frequency response of the circuits current magnitude above, relates to the “sharpness” of the resonance in a series resonance 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. 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 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. Compare them and draw conclusions. Figure 2 Principle of induction heater and induction cooker. 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. 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. 1 0 m W. The damping of … Table 3: Comparison table 3. 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). 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. Electrical Resonance in Series LCR Circuit and Quality Factor Electrical Resonance in Series LCR Circuit. In physics and engineering the quality factor or Q factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. 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