(or) Write a note on figure of merit. Stay tuned with BYJU’S to learn more about other Physics related concepts. can be used in the tuning mechanism of a radio or. 2 Mention the different types of biasing of a transistor . where ω o is the angular frequency of the a.c. at resonance. Derive the expression for the Q Factor The Q-factor is the abbreviation for the quality factor. So, take current phasor as reference and draw it on horizontal axis as shown in diagram. Draw and explain the circuit and stick diagram of … If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. 1 view. The quality factor or Q-factor of a series resonant circuit is defined as the ratio of a voltage developed across the inductance or Capacitance at resonance to the impressed voltage, which is … Cloudflare Ray ID: 60fabe147d33eb9d Please enable Cookies and reload the page. [Delhi 2014C] Ans. Derive an expression for the impedance of a series L-C-Rcircuit connected to an AC supply of variable frequency. Hence, define the quality factor Q and write its role in the tuning of the circuit. (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. Q-factor. Then Q = X/R. 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. State the condition for resonance to occur in a series LCR a.c. circuit and derive an expression for the resonant frequency. The common emitter capacitor used within the circuit can be a bypass capacitor while the circ… The output of this circuit can be attained by using inductive and capacitive coupling. Derive the expression for the frequency of oscillations of a BJT-RC Phase shift Oscillator. Derive a formula for resonant frequency f r in terms of L and C. 11. Please enable Cookies and reload the page. The resonance phenomenon is observed in ac circuits consisting reactive elements such as inductor and capacitor. Quality factor controls the damping of oscillations. 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. 14. frequency. frequency of the applied voltage. electric; circuits; network; thumb_up_alt 0 like . Derive an expression for resonant frequency of series RLC circuit. 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. What does the Q-factor in a series circuit mean? The Q factor of a series resonant circuit is defined as the ratio of the voltage across a coil or capacitor to the applied voltage. The sharpness of the peak is measured quantitatively and is called the Quality factor, Q of the circuit. how the phenomenon of resonance in the circuit. 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. 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. If Q is less than 1/2 , it is underdamped and losses in the circuit are minimal and oscillations will be sustained longer. 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. Since the Q of the circuit determines the overall steepness of the curve. For the high-quality factor, the frequency does not play an important role. (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. Derive an expression for the impedance of a series. You can calculate effective resistance R and effective reactance X of RLC circuit for a given frequency. He was evaluating the performance and quality of different coils. Therefore the bandwidth of circuit can be expressed in terms of Q as follows: Bandwidth = (f 2 – f 1) = f r /Q. Write the circuit of 4:1 MUX using Transmission gate. The quality factor is defined as the ratio of the resonant frequency to the bandwidth of the circuit. [10+5] (OR) 7). C: capacitance. While the principles outlined in this application note may be applied to many types of systems, the scope of the discussion is limited to binary digital communications over optical fiber. 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. Plot a graph showing variation of current with the. The Q factor determines the qualitative behavior of simple damped oscillators. L: inductance. • 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. The single tuned amplifier circuit diagram using capacitive coupling is shown below. These two elements are basic passive elements of energy storing type. RLC Circuit For drawing the phasor diagram of series RLC circuit, follow these steps: Step – I. Forced Oscillation And Resonance. (For mathematical details about these systems and their behavior see harmonic oscillator and linear time invariant (LTI) system.). State an advantage of a high Q-factor in a series high-frequency circuit. Difference Between Series and … The lower the parallel resistance, the more effect it will have in damping the circuit and thus the lower the Q. For drawing the phasor diagram, take current phasor as reference and draw it on horizontal axis as shown in diagram. (8) Q.7 a. The quality factor of the coil is 8.984 44.3 398.0 = = = r X Q L The band with is kHz MHz L r f f f 111.3 10 111.3 0.1113 10 0.1113 398 10 44.3 2 63.34 10 44.3 2 3 6 2 1 6 6 = ⋅ = = ⋅ = ⋅ = × ⋅ Δ = − = = π π − − Parallel circuit The circuit, with resistance R, inductance L, and a capacitor, C in parallel (Fig. Explain design methodology steps to design complex VLSI circuit. You may need to download version 2.0 now from the Chrome Web Store. Within this scope, there are only two possible symbols that can be transmitted, where these symbols represent a 12. The star-connected secondary of a transformer supplies a delta-connected motor taking a power of 90kW at a lagging power factor … The energy stored in the circuit is 2 11 S 22 E =+LI CVc2 (1.14) Q factor is ratio of reactance to resistance in LC circuits. • 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. How to get a formula for a quality factor Q series RLC circuit - Quora. The quality factor is also known as the sharpness of the resonance. 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. 13. Define Q-factor; Derive the expressions for Q-factor of inductor and capacitor. 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… 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. 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 = ƒ r /BW . Q. RL Circuit For drawing the phasor diagram of series RL circuit; follow the following steps: Step- I. The phasor diagram of … (b) Define the quality factor in an a.c. circuit. 9. 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. Derive an expression for resonant frequency of series RLC circuit. Performance & security by Cloudflare, Please complete the security check to access. 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. Formula: Q = R 1 C L Conditions for the large value of Q factor: (i) Value of C L should be large. • Quality factor is expressed as, Q-factor is a dimensionless quantity. (10) Q.8 a. Draw a self-bias circuit and derive expression for stability factor. thumb_down_alt 0 dislike. (6) b. LCR circuit is used in transmitters and receivers of radio, television and telephone carrier equipment etc. Demonstrate how algebra is used to derive the ten öther” forms of the two Ohm’s Law / Joule’s Law equations shown here. feedback factor β, and the gain of the amplifier with feedback. Quality factor is the ratio of reactance and resistance. 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. define a parameter called the Quality Factor Q which is related to the sharpness of the peak and it is given by maximum energy stored 22 total energy lost per cycle at resonance S D E Q E ==ππ (1.13) which represents the ratio of the energy stored to the energy dissipated in a circuit. 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. Your answer. But, this circuit uses capacitive coupling. (b) Write about the operation of a class D amplifier (OR) Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. Your IP: 58.221.62.251 Design a 4 bit adder and obtain the expression for Sum, Carry & Half Sum. Completing the CAPTCHA proves you are a human and gives you temporary access to the web property. LCR circuit connected to an ac supply of variable. Can you give answer to this question ? Your IP: 198.20.90.194 a TV set. State three formulae used to calculate the Q-factor of a series circuit at resonance. (ii) Value of R should be less. Please enable Javascript and refresh the page to continue. Explain briefly. • Parallel resonant circuits • For a parallel RLC circuit, the Q factor is the inverse of the series case: • Q = R = 0 = 0 • Consider a circuit where R, L and C are all in parallel. Another way to prevent getting this page in the future is to use Privacy Pass. 34. Plot a graph showing variation of … If you are at an office or shared network, you can ask the network administrator to run a scan across the network looking for misconfigured or infected devices. 8(a) How even harmonics is eliminated using push-pull circuit, derive the expression. Cloudflare Ray ID: 60fabe081b9a749b In order to determine the instantaneous current or the phase of the relationship, we will follow the analytical analysis of the circuit. ... 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). Here derives the expression to obtain the instantaneous voltage across a charging capacitor as a function of time, that is V (t). Q-factor: In LCR Circuit, the ratio of resonance frequency to the difference of its neighbouring frequencies so that their corresponding current is 1 / 2 times of the peak value, is called Q-factor of the circuit. 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