34. In case of series RL circuit, resistor and inductor are connected in series, so current flowing in both the elements are same i.e I R = I L = I. Explain design methodology steps to design complex VLSI circuit. frequency. More formally, Q is the ratio of power stored to power dissipated in the circuit reactance and resistance, respectively: Q = P stored /P dissipated = I 2 X/I 2 R Q = X/R where: X = Capacitive or Inductive reactance at resonance R = Series resistance. Plot a graph showing variation of current with the. Formula: Q = R 1 C L Conditions for the large value of Q factor: (i) Value of C L should be large. (b) Define the quality factor in an a.c. circuit. The concept of Q, Quality Factor was first envisaged by an engineer named K. S. Johnson from the Engineering Department of the Western Electric Company in the US. Derive an expression for resonant frequency of series RLC circuit. [10+5] (OR) 7). (For mathematical details about these systems and their behavior see harmonic oscillator and linear time invariant (LTI) system.). can be used in the tuning mechanism of a radio or. Q factor in a parallel circuit is: Q=R\sqrt {\frac {C} {L}}=\frac {R} {\omega _ {0}L}= {\omega _ {0}RC} Where, RLC are in parallel. Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. (b) Quality Factor (Q): In series LCR circuit the ratio of the voltage drop across inductor (or capacitor) to the voltage drop across resistor under resonance condition is called the quality factor where ω2 - ω1 = band width of resonant curve. RLC Circuit For drawing the phasor diagram of series RLC circuit, follow these steps: Step – I. frequency of the applied voltage. For drawing the phasor diagram, take current phasor as reference and draw it on horizontal axis as shown in diagram. Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. The energy stored in the circuit is 2 11 S 22 E =+LI CVc2 (1.14) State an advantage of a high Q-factor in a series high-frequency circuit. The selectivity or Q-factor for a parallel resonance circuit is generally defined as the ratio of the circulating branch currents to the supply current and is given as: Note that the Q-factor of a parallel resonance circuit is the inverse of the expression for the Q-factor of the series circuit. 2 Mention the different types of biasing of a transistor . Within this scope, there are only two possible symbols that can be transmitted, where these symbols represent a L: inductance. Quality factor controls the damping of oscillations. Derive an expression for the impedance of a series L-C-Rcircuit connected to an AC supply of variable frequency. The sharpness of the peak is measured quantitatively and is called the Quality factor, Q of the circuit. feedback factor β, and the gain of the amplifier with feedback. Derive, for both star- and delta-connected systems, an expression for the total power input for a balanced three-phase load in terms of line voltage, line current and power factor. Derive the expression for the Q Factor The Q-factor is the abbreviation for the quality factor. State three formulae used to calculate the Q-factor of a series circuit at resonance. Can you give answer to this question ? Substituting the value of Q in the equation of unknown inductance, we get For greater value of Q the 1/Q is neglected and hence the equation become Phasor Diagram of Hay’s Bridge. 12. For the high-quality factor, the frequency does not play an important role. Here, q is the charge held by the capacitor, I is the current passing through the circuit, R is the resistance of the resistor and C is the capacitance of the capacitor. Explain briefly. Over the course of his investigations he developed the concept of Q. Interestingly his choice of the letter Q was made because all other letters of the alphabet were taken and not because of the term q… (ii) Value of R should be less. (10) Q.8 a. LCR circuit connected to an ac supply of variable. Hence, define the quality factor Q and write its role in the tuning of the circuit. Cloudflare Ray ID: 60fabe147d33eb9d Q. If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. ... write an equation that gives the Q factor of a series resonant LC circuit exclusively in terms of L, C, and R, without reference to reactance (X) or frequency (f). Q factor is ratio of reactance to resistance in LC circuits. Draw a self-bias circuit and derive expression for stability factor. Your IP: 198.20.90.194 LCR circuit is used in transmitters and receivers of radio, television and telephone carrier equipment etc. Quality factor is expressed as, Q-factor is a dimensionless quantity. In case of series RLC circuit; resistor, capacitor and inductor are connected in series; so, the current flowing in all the elements are same i.e I r = I l = I c = I. The resonance phenomenon is observed in ac circuits consisting reactive elements such as inductor and capacitor. In fact, Q-factor of a series resonant circuit may be defined as the ratio of resonant frequency to bandwidth: Current or Parallel Resonance in R-L-C Circuits: When an inductive reactance and a capacitive reactance are connected in parallel, as shown in Fig. Quality factor is the ratio of reactance and resistance. Difference Between Series and … 8(a) How even harmonics is eliminated using push-pull circuit, derive the expression. Write the circuit of 4:1 MUX using Transmission gate. RL Circuit For drawing the phasor diagram of series RL circuit; follow the following steps: Step- I. So, take current phasor as reference and draw it on horizontal axis as shown in diagram. 14. How to get a formula for a quality factor Q series RLC circuit - Quora. Q-factor. (6) b. [Delhi 2014C] Ans. But, this circuit uses capacitive coupling. You may need to download version 2.0 now from the Chrome Web Store. Then Q = X/R. (b) Write about the operation of a class D amplifier (OR) Draw a plot showing the variation of the peak current (i m) with frequency of the a.c. source used.Define the quality factor, Q of the circuit. Demonstrate how algebra is used to derive the ten öther” forms of the two Ohm’s Law / Joule’s Law equations shown here. C: capacitance. Design a 4 bit adder and obtain the expression for Sum, Carry & Half Sum. (a) Derive an expression for the average power consumed in a series LCR circuit connected to a.c. source in which the phase difference between the voltage and the current in the circuit is 0. (8) Q.7 a. Derive an expression for the impedance of a series. Consider a capacitor connected in series with a resistor, to a constant DC supply through a switch S. ‘C’ is the value of capacitance and ‘R’ is the resistance value. Your IP: 58.221.62.251 Since the Q of the circuit determines the overall steepness of the curve. State the condition for resonance to occur in a series LCR a.c. circuit and derive an expression for the resonant frequency. Define Q-factor; Derive the expressions for Q-factor of inductor and capacitor. electric; circuits; network; thumb_up_alt 0 like . Performance & security by Cloudflare, Please complete the security check to access. The Q factor determines the qualitative behavior of simple damped oscillators. where ω o is the angular frequency of the a.c. at resonance. Therefore the bandwidth of circuit can be expressed in terms of Q as follows: Bandwidth = (f 2 – f 1) = f r /Q. The phasor diagram of … Please enable Cookies and reload the page. Performance & security by Cloudflare, Please complete the security check to access. These two elements are basic passive elements of energy storing type. He was evaluating the performance and quality of different coils. If Q is less than 1/2 , it is underdamped and losses in the circuit are minimal and oscillations will be sustained longer. 1 view. • how the phenomenon of resonance in the circuit. Please enable Javascript and refresh the page to continue. If you are on a personal connection, like at home, you can run an anti-virus scan on your device to make sure it is not infected with malware. 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