What is Rlc: Definition and 443 Discussions

An RLC circuit is an electrical circuit consisting of a resistor (R), an inductor (L), and a capacitor (C), connected in series or in parallel. The name of the circuit is derived from the letters that are used to denote the constituent components of this circuit, where the sequence of the components may vary from RLC.
The circuit forms a harmonic oscillator for current, and resonates in a similar way as an LC circuit. Introducing the resistor increases the decay of these oscillations, which is also known as damping. The resistor also reduces the peak resonant frequency. In ordinary conditions, some resistance is unavoidable even if a resistor is not specifically included as a component; an ideal, pure LC circuit exists only in the domain of superconductivity, a physical effect demonstrated to this point only at temperatures far below and/or pressures far above what are found naturally anywhere on the Earth's surface.
RLC circuits have many applications as oscillator circuits. Radio receivers and television sets use them for tuning to select a narrow frequency range from ambient radio waves. In this role, the circuit is often referred to as a tuned circuit. An RLC circuit can be used as a band-pass filter, band-stop filter, low-pass filter or high-pass filter. The tuning application, for instance, is an example of band-pass filtering. The RLC filter is described as a second-order circuit, meaning that any voltage or current in the circuit can be described by a second-order differential equation in circuit analysis.
The three circuit elements, R, L and C, can be combined in a number of different topologies. All three elements in series or all three elements in parallel are the simplest in concept and the most straightforward to analyse. There are, however, other arrangements, some with practical importance in real circuits. One issue often encountered is the need to take into account inductor resistance. Inductors are typically constructed from coils of wire, the resistance of which is not usually desirable, but it often has a significant effect on the circuit.

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  1. M

    A Little Bit of Guidance on this RLC Circuit (Please )

    I've been working on this problem to review (see the attachments), and my circuit analysis skills are quite rusty. I've determined that the circuit should be underdamped, and it will have a step response. Based on this, I'm using the equation V0(t)=Vf+B1e^(αt)cos(ωdt)+B2e^(ω0t)sin(ωdt). As you...
  2. M

    Ideas for a Basic RLC Related Class Project

    I've been a lurker for a longtime (and recently made an account). That aside, I've just started my sophomore level classes in electrical engineering this year (in college obviously), and my instructor has asked us at the last minute to make a simple project involving an RLC network (so...
  3. T

    RLC Circuit with damping question

    I have an RLC Circuit. I've changed the resistors 3 times to give me a case of overdamping, underdamping, and critical damping. In taking my data (this was a long long time ago) I apparently missed taking measurements of current. I'm trying to solve the three differential equations to make a...
  4. T

    RLC Circuit with damping questions

    I have an RLC Circuit. I've changed the resistors 3 times to give me a case of overdamping, underdamping, and critical damping. In taking my data (this was a long long time ago) I apparently missed taking measurements of current. I'm trying to solve the three differential equations to make a...
  5. R

    Solving Series RLC Circuit Problems: Input/Output Equations & Diagram

    Please help me to solve this RLC circuit problem. I am completely confused.If you give me the direct answer it would be much appreciated. For the series RLC circuit in Figure, find the input/output difference equation for 1. y(t)=v_{R} 2. Y(t)=i(t) 3. y(t)=v_{L} 4. y(t)=v_{C} I...
  6. M

    Impulse function applied to RLC circuit

    Hello, I've been reviewing some material from my undergraduate studies. In the book "Signals and Systems" by Haykin in the first chapter he gives an example of a voltage source with the value of Vo*delta(t) applied to a series RLC circuit. Vo is some arbitrary constant and delta(t) is the...
  7. S

    Driven RLC circiut in parallel

    I need some help setting up the DE for this system. I have a voltage source pumping at V_0cos(wt) Connected to a capacitor, inductor and resistor all three in parrellel. I am guessing then, that the voltage drop among all the parts are equal. V_0 cos(wt) = \frac{Q}{C} = L \ddot{Q} =...
  8. B

    RLC ckt's underdamped response

    hi... how can i get A cos (omega t) + B sin (omega t) into this form: C cos (omega t + theta) ? does it equal to A+B cos (omega t - 90) ? i know it has to do with the underdamped response of an RLC circuit. i was looking into phasors as well. any help would be greatly...
  9. E

    Engineering Difference equation of simple RLC Circuit

    I have been having a difficult time understanding how to determine the input/output difference equations of a circuit. I believe I am good on series circuits but would like some feedback on Series/parallel determinations. Please look at included file and see if I am on the correct path.
  10. F

    Engineering Find Resonant Freq, Q, Power Diss pwr Half Pwr Freq in RLC Circuit

    Question: A parallel RLC circuit, which is driven by a variable frequency 10-A source, has the following parameters: R=500\Omega L=0.5mH C=20\muF Find the resonant frequency, the Q , the average power dissipated at resonant frequency, the BW , and the average power dissipated at the...
  11. W

    Uncharging RLC circuit, critical & overdamped case

    When a non-driven RLC circuit discharges you have several possibilities: underdamped, critical & overdamped. The general solution of the differential equation is Q(t) = A*exp(L1*t)+B*exp(L2*t) with L1 and L2 roots of the characteristic polynom being (-R+sqrt(R^2-4*L/C))/(2*L) and...
  12. P

    Energy of fields caused by RLC circuits

    I am looking for simple animations of RLC circuits, energy of RLC circuits and vaves they cause; if anyone have them please send to pasvvords@yahoo.com
  13. S

    How do I correctly position A1 and A2 in overdamped parallel RLC circuit?

    For some reason i can't get my A1 and A2 in the correct spots. I get the correct value of these two, but if someone could point out where I've gone wrong, i would apreciate it. V(0) = 125v i(0) = 0A value of the inductor is 1.25h value of the resistor is 2 Ohms value of the capacitor...
  14. L

    Just one little question on the frequency band of the series RLC filter

    Hey! I really need to find out how the width of the frequency band rejected depends on the resistance R of the following circuit: http://img418.imageshack.us/img418/8168/rlc2wf.gif I've done the following: Q= \frac{\omega_0}{\Delta \omega} so \Delta \omega = \frac{\omega_0}{Q}...
  15. L

    Series RLC filter (trap filter)

    Hey! I need to solve the following problem: a) Show the trap filter below acts to reject signals at a frequency \omega = \frac{1}{\sqrt{LC}} http://img418.imageshack.us/img418/8168/rlc2wf.gif b) How does the width of the frequency band rejected depend on the resistance R? For...
  16. I

    Solving RLC Circuit Problem: Underdamped CKT Roots

    i have a question where s1,2=(-4 (+-) j3) 10^3 are roots of a second order D.E of a series RLC ckt where s1,2=(-z (+-) (z^2 -1) (z is zeta) now from s1,2=(-4 (+-) j3) 10^3 ,its showing roots of underdamped ckt(complex nd conjugate) but when i solve eq. z gives 2 values(but z must be...
  17. B

    Proof of an expression concerning an RLC circuit

    Hi, How can you prove that, in a damped RLC circuit, the logarithmic decrement equals the period times the damping factor: \delta=T\zeta (I'm using \delta=\ln\frac{x(t_n)}{x(t_n+T)}\quad \zeta=\frac{R}{2L} ) Thanks in advance!
  18. Cyrus

    Homework on RC, RL and RLC circuits

    In light of all the threads started in here about people who BMC about flunking tests, I will post the opposite. I had my thermo test today. It was hard in my opinion. But I think I got a 12/12 on it :cool:. I studied 4 days for, I better get a 12! I need to lower the entropy in my life...
  19. B

    Solving an RLC Circuit: Seeking Help to Begin

    HI, I don't really get this problem. Can I have some suggestion please? The 3-mF capacitor of an RLC circuit is initially charged to 30 micronC. The 1.5-mH inductor has a very small resistance.At particular instant, after 100 oscillations, the current through the inductor is zero while the...
  20. B

    Can Oscilloscope Measurements Show Resistance Impact on RLC Circuit Damping?

    Hello, I've got to prepare for a practical session and need some help with a problem: how (by what experiments) can you prove that the damping of a series RLC circuit depends on the value of the resistance (without basing oneself on any knowledge of the damping factor \zeta=\frac{R}{2L})...
  21. C

    RLC Damped Oscillator: Why Quicker to Zero in Critically Damped Case?

    Hello, On this page: http://galileo.phys.virginia.edu/classes/152.mf1i.spring02/Oscillations.htm It says (and shows) that in the case of a critically damped oscillation, it moves more quickly to zero than in the overdamped case. I don't understand why. The solution to this circuit is...
  22. B

    What Frequency Makes Currents Equal in an RLC Circuit's Inductor and Resistor?

    Hey, I have a problem with an RLC circuit. It consists of a resistor in series, followed by another resistor, capacitor, and inducer, all in parallel. The question is asking for what frequency (its an AC circuit), is the current through the inducer the same as the resistor (the one in...
  23. B

    Engineering Electrical engineering, RLC circuit

    Alright, here I come again for help! In a series R, L, C circuit, the values of the passive elements are R=5ohm, L=1H, and C=10uF. The output voltage is taken across R, and te input voltage signal is of variable frequency. Using Electronics Workbench, obtain a plot of V0(t) as a frequency f...
  24. D

    Finding Capacitance & Inductive Reactance for RLC Circuit in FM Broadcasting

    1. A RLC circuit is used in a radio to tune into an FM broadcasting station at 99.7 Mhz. The resistance in the circuit is 12.0 ohm, and the inductance is 1.40 uH (micro Henry) what capacitance should be used? this question is tricky what i tried to do is used XC=1/wC where C is capacitance...
  25. F

    Solving RLC Circuits: Lamp Glowing & Tuning a 100MHz Circuit

    Hi I have two probles to tackle on RLC circuits The first states that if a circuit consists of a lamp (R), variable inductance and fixed capacitor, why does the lamp glow for certain values of L. Also, you have a tuner at 100mhz, the resistance in the circuit is 15 ohms and inductance...
  26. P

    3 physics problems concerning inductance and rlc circuit

    physics problems concerninginductance and rlc circuit -------------------------------------------------------------------------------- 1. "The resistance of a superconductor." In an experiment carried out by S. C. Collins between 1955 and 1958, a current was maintained in a...
  27. D

    Exploring RLC Circuits: Lamp Brightness & Inductive Reactance

    :cry: hi i got 2 questions here fairly confusing was wondering if i can get some help thanks 1. consider a series RLC circuit in which R is an incandescent Lamp C is some fixed capacitor and L is a variable inductance. The source is 240 V ac. explain why the lamp glows brightly for some...
  28. J

    Engineering Calculating Frequency in RLC Circuits with Gradual Decay

    Oscillation frequency I'm not sure what to do for this question. I have found a few things of relevancy but I'm making the problem more complex than it really is? A leyden jar of capacitance C=10^-9 farads is short circuited with a copper wire of self-inductance L=3 x 10^-7 and resistance...
  29. S

    Phasor Diagrams of Series Parallel RLC circuits

    Hi Guys! well! can anybody tell me the correct way of drawing phasor diagrams of Series-Parallel RLC circuits. I know how to draw for Series RLC and Parallel RLC but don't know WHEN it comes to SERIES-PARALLEL combined. Plz help me. Plus can u recommend me any website from where i can...
  30. T

    How Do You Calculate RLC Circuit Parameters and Half-Power Frequencies?

    I find this question very hard and i could not work out the answers, i have looked on the internet for forumals but they don't seem to work ?? Anyone got any methods to work through the question ? I found a website that is about RLC series circuits but looking into it, it really confuses me...
  31. D

    What Are the Correct Calculations for Reactance in a Parallel RLC Circuit?

    Hey im in first year electronics and have a problem with a parallel rlc circuit im trying to find the reactance (Xc and Xl) for a circuit that has a 500 ohm resister and a .01 microfarad capacitor in parallel with a 500 ohm resistor and a .5 mH inductor. The frequency of the circuit is 50...
  32. D

    Engineering How Do You Calculate Reactance in a Parallel RLC Circuit?

    Hey im in first year electronics and have a problem with a parallel rlc circuit im trying to find the reactance (Xc and Xl) for a circuit that has a 500 ohm resister and a .01 microfarad capacitor in parallel with a 500 ohm resistor and a .5 mH inductor. The frequency of the circuit is 50...
  33. B

    How Do Component Substitutions Affect RLC Circuit Properties?

    We were given a question to produce a RC circuit. I can do those just fine. Now we don't have to actually produce a RLC circuit. My professor asked us this question "What is the analogous problem when we take instead of capacitors either resistors or inductor? Describe in words the changes in...
  34. D

    Solving RLC Circuit with 2 500pF Capacitors and 80mH Inductor

    Hey ive got a problem with a series rlc circuit it has 2 500pF capacitors and 1 80mh Inductor and one 2.0K ohm resistor circuit has a freqency of 55 KHZ trying to calculate total impedance I am getting the wrong answer im getting: Xc= 1.93 kohms Xl = 27.6 kohms xl-xc = 25.7...
  35. H

    RLC circuit and rate of increase of current

    Ok, I am having a problem with a RLC circuit and my teacher was unable to offer a satisfactory explanation. Hope that you'll help. Consider a DC battery, a switch, a resistor, a capacitor and an inductor in series. Before t=0 the switch is open and assume that the circuit has achieved steady...
  36. A

    Question about RLC circuits

    A person is working near the secondary of a transformer, as shown in the figure below. The primary voltage is 120 V at 60.0 Hz. The capacitance C, which is the stray capacitance between the hand and the secondary winding, is 10.0 pF. Assuming that the person has a body resistance to ground R...
  37. A

    Calculating RLC Circuit Damping Time and Energy Loss

    Electrical oscillations are initiated in a series circuit containing a capacitance C, inductance L, and resistance R. a) If R << sqrt((4L)/C) (weak damping), how much time elapses before the amplitude of the current oscillation falls off to 50.9% of its initial value? b) How long does it...
  38. Y

    What is the resonance frequency expression for a parallel RLC circuit?

    What is the resonance frequency expression for a parallel RLC circuit? I know that for a series RLC circuit, it is: w=\frac{1}{\sqrt{LC}} Is it the same for a parallel RLC circuit? I remember reading somewhere that it was not exactly the same, although it approaches the series RLC...
  39. F

    What Happens to Voltage in a Parallel LRC Circuit with a DC Source?

    quick question about RLC circuits... Okay guys and gals... I know this is a rather dumb question, but I don't have a lot of reference material where I am at currently (I am in Kuwait as part of Operation Iraqi Fredom)...so if someone could give me an answer I would appreciate it... I...
  40. L

    Archived Power factor at half power points for RLC circuit

    Can anyone help me with this homework problem? I worked it through, but the answer i get doesn't agree with the answer the book gives. I'll include my work, and if anyone can help, I'll be eternally grateful, at least for a while. The Problem: In a series RCL circuit the dissapated...
  41. F

    Power dissipated in RLC circuit

    An RLC series circuit constists of a resistor of 100 ohm, a capacitor of 10.0uF, and an inductor of 0.250 H. The circuit is connected to a power supply of 120 V and 60 Hz. What is the power dissipated in the circuit? I got 37 W (rounding 2 S.F's) the solutions manual has the answer as 73 W...
  42. I

    RLC circuit inductor/capacitor combined voltage?

    RLC circuit inductor/capacitor combined voltage?? I have an RLC circuit. I understand that the combined sum of the voltage magnitudes across the three components will be greater than the signal generator. I don't understand, however, why the combined voltage across the inductor and the...
  43. D

    Solve RLC Series Circuit: Find Vrms, Power Factor & Draw Phasor

    I just finished an exam and this problem gave me fits. It seemed simple enough when I first looked at it, but it took me a while to come to the following conclusions which I'm not sure are correct. The problem had an RLC series circuit with source of 141.4 Volts peak and a frequence of 1...
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