rlc series circuit experiment pdf

However, the currents through each element will be different. Note: Measure the internal resistance of the decade inductor box when it is adjusted for 300 m H. This could be helpful in the case you observe differences . Show your calculations. The three basic passive components of: Resistance, Inductance, and Capacitance have very different phase relationships to each other when connected to a sinusoidal alternating supply. Introduction: The voltage through an RLC series circuit will be measured as a function of frequency for a fixed applied voltage. Experiment 10 ~ RLC Series circuit Resonance in an RLC Series Circuit Objective: To experimentally determine the resonance frequency in a series RLC circuit and compare this to the expected resonance value. 1, including sine-wave sources. We measured the time varying voltage across the capacitor in a RLC loop when an external voltage was applied. V R = i R; V L = L di dt; V C = 1 C Z i dt : Analysis of Series RLC Circuit Circuit 1 is a series RLC circuit, connekted to a voltage source that provides a square wave pulse (Function Generator). Series/Parallel RLC circuits R L C i R L C V iR iL R VC V iC L I 0V * A series RLC circuit driven by a constant current source is trivial to analyze. Assume that the function generator provides a signal that varies from: O volts to 1 volt. circuit Experiment no. b. The circuit forms a harmonic oscillator for current, and resonates in a similar way as an LC circuit. Figure 5 Series Resonance Circuit Note: The 10 resistor is a current transducer, turning current into voltage by Ohms Law. Theory Inductors and Capacitors Resistors (R), inductors (L) and capacitors (C) are passive components commonly used in AC electrical circuits. Unlike the series RLC circuit, the instantaneous voltages across all three circuit elements R, L, and C are the same, and each voltage is in phase with the current through the resistor. Supervisor: 1 Experiment No.13 Object To perform be familiar with The Series RLC Resonance Circuit and their laws. Unlike the series RLC circuit, the instantaneous voltages across all three circuit elements R, L, and C are the same, and each voltage is in phase with the current through the resistor. We connected the circuit as shown below and then used the equation introduced above to nd the resonance frequency and then adjusted the function generator to set as to the one we obtained from the . b. 1 We connected the circuit as shown below and then used the equation introduced above to nd the resonance frequency and then adjusted the function generator to set as to the one we obtained from the . THEORY The circuit of interest is shown in Fig. Supervisor: 2 Figure 1. 11.19. Theory In this lab exercise, you will use the same hidden RLC circuit that you worked with last : Lab. The student will measure the circuit current, the voltages across the resistor and the . Connect the network of Figure 9-1 using the element values of part 1 of the pre-lab. 4.3 Exercise 3 - Resonance of series RLC circuits Finally we were required to observe the e ects of resonance frequency in a series RLC circuit. Series RLC circuit i R L C VR VC VL V0 KVL: V R + V L + V C = V0)i R + L di dt + 1 C Z i dt = V0 Di erentiating w. r. t. t, we get, R di dt + L d2i dt2 1 C i = 0. RLC Circuits It doesn't matter how beautiful your theory is, it doesn't matter how smart you are. Experiment 5 RLC Series / Parallel AC Circuits Objectives: - To investigate Combination of RLC circuits and determine the relationships between frequency and impedance on the voltages and currents in the circuits. RLC Circuits, Page 1 RLC Circuits Note : Parts marked with * include calculations that you should do before coming to lab. Lab 3: Series and Parallel RLC circuits. Apparatus: Range/Rating Make 1. Single phase dimmer- stat 2. In both cases, it was simpler for the actual experiment to replace the battery and switch with a signal generator producing a square wave. Department of Electrical & Computer Engineering EEE241L/ETE241L Electrical Circuits II Lab Lab 3: Series and Parallel RLC circuits A. circuit Experiment no. Theory Thus far we have studied a circuit involving a (1) series resistor R and capacitor C circuit as well as a (2) series resistor R and inductor L circuit. Theory : 1- Parallel RC >>Series with L For this circuit : Figure 1 Combination of RLC circuit and it's phasor diagram ,,,, S C L vc +-+ vL - Figure 3 The equation that describes the response of this circuit is 2 2 1 0 dvc vc dt LC + = (1.16) Assuming a solution of the form Aest the characteristic equation is s220 +ωο = (1.17) Where If it doesn't agree with experiment, it's wrong. The Series RLC Resonance Circuit Introduction Thus far we have studied a circuit involving a (1) series resistor R and capacitor C circuit as well as a (2) series resistor R and inductor L circuit. 8D-RLC Series Circuit 07-07-11.doc - 1 - PHYS 2426 Engineering Physics II (Revised July 7, 2011) AC CIRCUITS: RLC SERIES CIRCUIT INTRODUCTION The objective of this experiment is to study the behavior of an RLC series circuit subject to an AC input voltage. PHY2054: Chapter 21 2 Voltage and Current in RLC Circuits ÎAC emf source: "driving frequency" f ÎIf circuit contains only R + emf source, current is simple ÎIf L and/or C present, current is notin phase with emf ÎZ, φshown later sin()m iI t I mm Z ε =−=ωφ ε=εω m sin t ω=2πf sin current amplitude() m iI tI mm R R ε ε == =ω E11: RLC Resonant Circuit 11 -7 Figure 11-4. Since V L = V C, we can write Here ω r or ω o represents the resonant frequency of the circuit, or the frequency of the . Experiment 12: AC Circuits - RLC Circuit Introduction An inductor (L) is an important component of circuits, on the same level as resistors (R) and capacitors (C). An inductor shown in Figure1a is usually constructed as a coil of The main focus was to study the Resonance Frequency (f r) of the Circuit in Series Combination of these devices . Introduction: The voltage through an RLC series circuit will be measured as a function of frequency for a fixed applied voltage. Theory : 1- Parallel RC >>Series with L For this circuit : Figure 1 Combination of RLC circuit and it's phasor diagram ,,,, Theory Inductors and Capacitors Resistors (R), inductors (L) and capacitors (C) are passive components commonly used in AC electrical circuits. Theory: Series RLC Circuit Analysis Series RLC circuits consist of a resistance, a capacitance and an inductance connected in series across an alternating supply. Experiment 10 ~ RLC Series circuit Resonance in an RLC Series Circuit Objective: To experimentally determine the resonance frequency in a series RLC circuit and compare this to the expected resonance value. i.e., d2i dt2 R L di dt + 1 LC i = 0, a second-order ODE with constant coe cients. For circuit (a) (the series circuit), useR a = 34:, L = 10 mH and C = 0.027PF; and for circuit b, use . circuit Experiment no. We measured the time varying voltage across the capacitor in a RLC loop when an external voltage was applied. Introducing the resistor increases the decay of these oscillations, which is also known as damping. Richard Feynman (1918-1988) OBJECTIVES To observe free and driven oscillations of an RLC circuit. 1. Supervisor: 1 Experiment No.13 Object To perform be familiar with The Series RLC Resonance Circuit and their laws. Theory In this lab exercise, you will use the same hidden RLC circuit that you worked with last Two curves are shown: one for R = 1 kΩ and 10 kΩ. Look for a resonance around 900 Hz. where these equations are relevant to a series RLC ac-circuit with capacitor (of known capacitance C) and a coil with internal resistance R and inductance L and where f. 0. is the resonant frequency. Analyze the peak voltage, current and phase relationships between the circuit components. The capacitance was varied and the periods of the oscillations were used to determine the inductance in the circuit. In the limit R →0 the RLC circuit reduces to the lossless LC circuit shown on Figure 3. A Series RLC Circuit This lab will let you learn the characteristics of both amplitude and phase of a series RLC circuit. The LC circuit. In the limit R →0 the RLC circuit reduces to the lossless LC circuit shown on Figure 3. 9, where Resonance in Series Circuit Resonance in case of an RLC circuit refers to the condition when the potential drop across the inductor is the same as the potential drop across the capacitor, or V L = V C. The basic condition for resonance can be easily derived. The Series RLC Circuit and Resonance Purpose a. Since the current through each element is known, the voltage can be found in a straightforward manner. . The inductor is based on the principle of inductance - that moving charges create a magnetic eld (the reverse is also true - a moving magnetic eld creates an electric eld). In this lab you will work with an inductor, a capacitor, and a resistor to demonstrate concepts of low-pass, bandpass, and high-pass filters, amplitude response, phase response, power response, Bode plot, resonance and q. The purpose of this experiment was to observe and measure the transient response of RLC circuits to external voltages. Vm is a variable voltage. PHY2054: Chapter 21 2 Voltage and Current in RLC Circuits ÎAC emf source: "driving frequency" f ÎIf circuit contains only R + emf source, current is simple ÎIf L and/or C present, current is notin phase with emf ÎZ, φshown later sin()m iI t I mm Z ε =−=ωφ ε=εω m sin t ω=2πf sin current amplitude() m iI tI mm R R ε ε == =ω An LCR circuit is an electrical circuit consisting of a resistor (R), an inductor (L), and a capacitor (C), connected in series or in parallel. Exp. To study the behavior of a series RLC circuit in an AC current. In both cases, it Determine whether this circuit underdamped, over damped, or critically damped. The student will measure the circuit current, the voltages across the resistor and the . Experiment 5 RLC Series / Parallel AC Circuits Objectives: - To investigate Combination of RLC circuits and determine the relationships between frequency and impedance on the voltages and currents in the circuits. Single phase dimmer- stat 2. Sixty One (61) readings of Frequency (f) and corresponding Peak To Peak Voltage (V pp) were taken . Set to 1 volts L is a variable inductor. : Lab. : Lab. Otherwise L = 0.32 H and C = 0.1 µF are the same for the two curves. C. Description and Background FIG. We start with the The voltage V R measured across the resistor of the RLC series circuit are predicted to look like this. For a simple series RLC circuit (withR a = 0), the Q factor can be shown to be C L R 1; and for a simple parallel RLC circuit, the Q factor can be shown to be L C R. c. Find the value of R in each circuit to achieve a bandwidthE = 10 k rad/sec. circuit Experiment no. The capacitance was varied and the periods of the oscillations were used to determine the inductance in the circuit. S C L vc +-+ vL - Figure 3 The equation that describes the response of this circuit is 2 2 1 0 dvc vc dt LC + = (1.16) Assuming a solution of the form Aest the characteristic equation is s220 +ωο = (1.17) Where In both cases, it Similarly, V Crms is the rms voltage across the capacitor. owing in the circuit, however for a parallel RLC circuit this will not be the same. For the simple parallel RLC circuit shown in gure 5 this is just equal to the rms supply voltage but for the series RLC circuit it is given by a potential divider rule. b. Experiment 8, RLC Resonatant Circuits 1 EXPERIMENT 5: SERIES AND PARALLEL RLC RESONATOR CIRCUITS Equipment List S 1 BK Precision 4011 or 4011A 5 MHz Function Generator OS BK 2120B Dual Channel Oscilloscope V 1 BK 388B Multimeter L 1 Leeds & Northrup #1532 100 mH Inductor R 1 Leeds & Northrup #4754 Decade Resistor C 3 4.3 Exercise 3 - Resonance of series RLC circuits Finally we were required to observe the e ects of resonance frequency in a series RLC circuit. Figure 5 Series Resonance Circuit Note: The 10 resistor is a current transducer, turning current into voltage by Ohms Law. The Series RLC Resonance Circuit Introduction Thus far we have studied a circuit involving a (1) series resistor R and capacitor C circuit as well as a (2) series resistor R and inductor L circuit. RLC Circuits, Page 1 RLC Circuits Note : Parts marked with * include calculations that you should do before coming to lab. Richard Feynman (1918-1988) OBJECTIVES To observe free and driven oscillations of an RLC circuit. Apparatus: Range/Rating Make 1. Experiment 7, RLC Resonant Circuits 5 Part II: Resonance a. To study the behavior of a series RLC circuit in an AC current. Supervisor: 2 Figure 1. Experiment 7, RLC Resonant Circuits 5 Part II: Resonance a. In this lab you will work with an inductor, a capacitor, and a resistor to demonstrate concepts of low-pass, bandpass, and high-pass filters, amplitude response, phase response, power response, Bode plot, resonance and q. To measure thevalues of the L and C using impedance method. An inductor shown in Figure1a is usually constructed as a coil of Introduction: The voltage through an RLC series circuit will be measured as a function of frequency for a fixed applied voltage. Again all the initial variables and values are remain the same. RLC circuit set-up for the experiment. Look for a resonance around 900 Hz. A Series RLC Circuit This lab will let you learn the characteristics of both amplitude and phase of a series RLC circuit. Objectives • Investigate series and parallel RC, RL, and RLC circuits. Experiments for First Year Electrical Engg Lab 2015-16 Dept of Electrical Engineering, Shri Ramdeobaba College of Engineering and Management, Nagpur 440013 INDIA Page 6 EXPERIMENT NO Aim: To study RLC series circuit. However, the currents through each element will be different. 1, including sine-wave sources. : Lab. 11. Parallel RLC circuit. Experiment 8, RLC Resonatant Circuits 1 EXPERIMENT 5: SERIES AND PARALLEL RLC RESONATOR CIRCUITS Equipment List S 1 BK Precision 4011 or 4011A 5 MHz Function Generator OS BK 2120B Dual Channel Oscilloscope V 1 BK 388B Multimeter L 1 Leeds & Northrup #1532 100 mH Inductor R 1 Leeds & Northrup #4754 Decade Resistor C 3 To measure thevalues of the L and C using impedance method. Set up the following circuit to determine the resonance frequency and Q of the circuit experimentally. THEORY The circuit of interest is shown in Fig. Experiment 10 ~ RLC Series circuit Resonance in an RLC Series Circuit Objective: To experimentally determine the resonance frequency in a series RLC circuit and compare this to the expected resonance value. ECGR 2156 Logic and Networks Laboratory E XPERIMENT 9 - R ESONANCE IN S ERIES AND P ARALLEL RLC N ETWORKS 5 P ROCEDURE Series RLC Circuit Resonance 1. 1. The purpose of this experiment was to observe and measure the transient response of RLC circuits to external voltages. Introduction: The voltage through an RLC series circuit will be measured as a function of frequency for a fixed applied voltage. Parallel RLC circuit. 2. The LC circuit. 11. RLC Circuits It doesn't matter how beautiful your theory is, it doesn't matter how smart you are. Theory Thus far we have studied a circuit involving a (1) series resistor R and capacitor C circuit as well as a (2) series resistor R and inductor L circuit. Figure 4: the output and plot of the total input current of series RLC tank circuit Now write a function to varying R of the input impedance of series RLC resonant circuit by adding an array of Resistors (R) value. We start with the Experiment 10 ~ RLC Series circuit Resonance in an RLC Series Circuit Objective: To experimentally determine the resonance frequency in a series RLC circuit and compare this to the expected resonance value. Set up the following circuit to determine the resonance frequency and Q of the circuit experimentally. b. Abstract The experiment examined the effect of Alternating Current (AC) on a Capacitor , Inductor and a Resistor , thereby verifying some formulae related to these devices in Physics . 8D-RLC Series Circuit 07-07-11.doc - 1 - PHYS 2426 Engineering Physics II (Revised July 7, 2011) AC CIRCUITS: RLC SERIES CIRCUIT INTRODUCTION The objective of this experiment is to study the behavior of an RLC series circuit subject to an AC input voltage. . If it doesn't agree with experiment, it's wrong. In both cases, it was simpler for the actual experiment to replace the battery and switch with a signal generator producing a square wave. Frequency response of RLC resonance circuit, from Eq. The Series RLC Circuit and Resonance Purpose a. c. To study the resonance behavior in a series RLC circuit. c. To study the resonance behavior in a series RLC circuit. 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