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. S

    RLC Circuit qualitative explanation any1?

    can some one explain me the qualitative aspects of RLC circuit i am satisfied with the vector diagrams i want the physical meaning behind say for instance in ac with inductor when current varies induced electric field is set up which opposes the current so there is a voltage drop similarly...
  2. S

    RLC Circuit qualitative explanation some1 ?

    can some one explain me the qualitative aspects of RLC circuit i am satisfied with the vector diagrams i want the physical meaning behind say for instance in ac with inductor when current varies induced electric field is set up which opposes the current so there is a voltage drop similarly...
  3. M

    Engineering Designing an RLC circuit from a given transfer function.

    Designing a circuit from a given transfer function. I hope you don't mind that I haven't used the default format. It doesn't lend itself well to my problem. The original problem is as follows: We were given a 'black box' that contained a passive circuit and we experimentally determined a...
  4. neduet

    Engineering Resonance in RLC Series circuits

    Hello friends Q1. Is that Resonance only happened in series circuit not in parallel, which are consisting in R L C components? Q2. what Is Q-Factor and is that Related with Resonance. Please Must Explane this questions :redface: thanks A lot
  5. E

    Quick question about RLC circuit energy and quality factor

    Homework Statement My book defines the equation for energy of an RLC circuit to be E = 1/2 L I^2 + 1/2 Q^2/C In series the Quality factor is (L/C)^1/2/R My question is will these equations hold for an RLC circuit that is parallel. I.E. the Resistor is in parallel with the Inductor which is...
  6. A

    Engineering Solving RLC Circuit with Step-by-Step Guide | Circuit Diagram Included

    [b]1. The switch in the circuit shown in Figure has been closed for a long time before t = 0 but opened at t = 0. Solve for i(t) for t ≥ 0. *Hereby I attached the circuit diagram for the question above. And this is where I got so far. (6ohm+6ohm)=12ohm alpha=R/2L = 4 Neper. But then I...
  7. N

    Engineering Resonant frequencies of simple RLC circuit

    I need to find the resonant frequency of the circuit shown in the diagram. http://img216.imageshack.us/img216/1750/gdmn.jpg The loop has a value of 1H, the capacitor has a value of 0.2F and the resistor has a value of 10 ohm. My initial approach has been to try and find the total...
  8. M

    Engineering How to approach this RLC circuit question?

    Homework Statement ^^I'm sort of lost as to how to approach this question. Should i just find the voltage at node A? Then at B? But what confuses me the most are these time values we need to take into account. So what would be the best way to approach this question? Thanks.
  9. T

    Simple explanation of a series rlc circuit in a radio

    hi, i wanted a simple explanation of a series rlc circuit in a radio as i know the rlc circuit consists of resistor,inductor,capacitor i know the function of each of them but what i don't understand is how by combinig them we can make a radio tuner!? i searched many websites but i can't find a...
  10. K

    Half Power frequencies for a parallel RLC circuit

    hello! I was in the lab doing the experiment of resonance frequency by plotting the graph of current vs frequency for a parallel RLC circuit. In this experiment i have also to find the Q factor and the bandwidth. The resonance frequency corresponds to the frequency with minimum intensity. Now...
  11. E

    RLC Circuit Resonance Frequency for WRUF Broadcast

    Homework Statement a) WRUF broadcasts at 103.7 MHz, what is the wavelength associated? b) If you were to use an RLC circuit to tune to this radio station, what resonance frequency would you tune to? Homework Equations f(resonance)= 1/(2\pi\sqrt{LC}) The Attempt at a Solution a)...
  12. P

    Solving Series/Parallel RLC Circuits | Homework Help

    I'm typing up all of my old homework assignments into notes and have forgotten quite a bit of things since I have learned them. My problem now is with a series/parallel RLC circuit. I have no problem with series or parallel, but this combined one is giving me difficulties. I am able to...
  13. L

    Engineering Overdamped Series RLC Circuit Transient Response

    Homework Statement Find the voltage across each component is an overdamped RLC circuit. The circuit is powered by a square wave of peak voltage 2 V. The square wave is used to model a DC source. Homework Equations Vs(0)=-2 (Everywhere else in the transient response, Vs=2)...
  14. L

    Engineering How Do You Determine Transient Response Voltages in a Series RLC Circuit?

    Homework Statement Analyze a series RLC circuit and determine the voltage across each element due to the transient response. The circuit is powered by a square wave voltage source with a peak-to-peak voltage of 4V and frequency of 1kHz. R=50 kohms L=33mH C=1 nF Homework Equations...
  15. T

    Engineering Solving RLC Circuit Problem 1: I1, I2, & I3 Calculations

    1. (See attachment) Q1 a, Determine I1,I2and I3 after 5 time constants b, when the switch is first closed ie t=0 c,when the switch re opens 2. I total=I1-(i1+I2) i=I[1-e --RL/L 3. i havnt practiced any circuits with resitance in series and parallel just looking for a way...
  16. S

    Calculating RLC Circuit Power with Frequency: Solutions & Equations

    Homework Statement How do one calculate the power in time of RLC circuit in parallel combination running an AC current ? It has to be in terms of frequency (\omega = 2 \pi f ) Homework Equations \omega = 1/ \sqrt{LC} The Attempt at a Solution I started off with the omega but...
  17. B

    RLC Circuit Homework - Solving 3rd Part with 2nd Order DE

    Homework Statement The Attempt at a Solution Ok, first part, no problem, second part (steady state), solved in another thread. Both are pretty tedious, but doable. However, I am quite stumped by the third part of this problem (V = V_o sin wt) . The second part of the problem...
  18. C

    RLC Circuit - Voltage drop across Inductor

    Homework Statement A 10 μF capacitor and a 25 H inductor are connected in series with a 60 Hz source whose rms output is 112 V. Find the voltage drop across the inductor. Answer in units of V. Note: Sigfigs do not matter Homework Equations I = V/Z where Z is the impedence XL =...
  19. X

    RLC Circuit: Find Missing Component - Inductor?

    1. if a impedance at 192 ,phase angle -75, resistor 49.7, wat missing in this circuit? A inductor or capacitor? Can it be a inductor?
  20. J

    Maximum current amplitude in RLC circuit

    Using the following o.d.e L\frac{d^2i}{dt^2}+R\frac{di}{dt}+\frac{1}{C}i=\frac{d}{dt}E(t) The following problem has several parts all of which I have solved except for the one below. L=1/20 R=5 C=4.10^{-4} \frac{dE}{dt}=200\cos100t Where L is an inductance in henries, R is a...
  21. G

    Engineering RLC Circuits: Determine i(0+), v(0+), i(∞), and v(∞)

    http://image.cramster.com/answer-board/image/501adeb46c35e1d66d704eb5d3c30ced.jpg 1) Determine: a. The value of i(0+) b. The value of v(0+) c. The value of i( ∞) d. The value of v( ∞) 2) For t > 0, determine: a...
  22. K

    Measured resonance in RLC -> drawing graphs with Matlab.

    Drawing graphs with errors using Matlab. I'm writing my first serious report, yay!, from the measurements we made with series RLC -circuit. I'm supposed to determine the values of the two coils we used as well as their self-inductanses. We had four different circuits: R, L1 and C in series...
  23. M

    Engineering How Do You Analyze a Second Order RLC Circuit for Different Responses?

    Second Order RLC CIrcuit? Homework Statement for this figure, vin(t) = -250u(-t) + 750U(t) mV, R = 0.5 ohms, L = 1 H, C = 0.01 F. Find zero-input, zero state, and complete response of both Vc(t) and IL(t) for t>0. Homework Equations ? The Attempt at a Solution I found the iL...
  24. C

    RLC circuit potential difference

    Homework Statement An L-R-C series circuit is constructed using a 175{ \Omega} resistor, a 12.5 muF capacitor, and an 8.00-mH inductor, all connected across an ac source having a variable frequency and a voltage amplitude of 25.0 V. At the angular frequency in part A, find the potential...
  25. E

    Engineering RLC circuit with more the 2 storage elements

    Homework Statement There is no real problem, so I'll just make up a arbitrary one. A series RLC circuit with a voltage source x(t), but say there is a resistor in parallel with the capacitor, followed by an inductor in parallel with that resistor. Just assume all the values of the inductors...
  26. A

    Engineering Why Is My Series RLC Circuit Simulation Not Working as Expected in PSpice?

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  27. A

    Engineering RLC circuit step response time domain

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  28. Z

    What are the Unknowns in a RLC Circuit with Resonance Frequency and Impedance?

    Homework Statement A RLC circuit has a resonance frequency of 6 KHz. When it is driven by a 8 KHz ac generator, it has an impedance of 1 k W. What are R, L and C in the circuit? Homework Equations The Attempt at a Solution the equation for the resonant frequency will be...
  29. P

    Alternating source driving RLC circuit

    Homework Statement An alternating source drives a series RLC circuit with an emf amplitude of 6.00 V, at a phase angle of +30.0 degrees. When the potential difference across the capacitor reaches its maximum positive value of +5.00 V, what is the potential difference across the inductor...
  30. P

    How Do You Calculate Electrical Parameters of a Heater in an RLC Circuit?

    Homework Statement The figure below shows the time variation of the current through an electrical heater when it is plugged into a 240 V, 50 Hz outlet. 1) What is the peak voltage? 2) What is the rms value of the current drawn by the heater? 3) What is the resistance of the heater...
  31. J

    Engineering Calculate Frequency of RLC Series Circuit with R=1kOhms, L=100mH, C=1uF

    Given that R = 1 kOhms, L=100mH and C = 1uF, calculate the frequency at which the current in the circuit lags the supply voltage by 45deg. Show how the impedance of the circuit is given by Z = sqr root R2 + (wL - 1/wC)2 arctan [(wL - 1/wC) / R] I have not been given any information...
  32. T

    Engineering Transfer Function for a || RLC Circuit

    Hey all, I'm a new member, so nice to meet you all! Homework Statement I'm currently in the process for deriving the Transfer Function H(s) and H(jw) (w read as omega for angular frequency) for http://www.ebfreedom.com/fwajx/cDiag.jpg" I have taken several approaches but have not been...
  33. W

    Equivalent Resistance of an RLC circuit

    Homework Statement It is in the attachment. NOTE: I supposed I did a little mistake when I drew the circuit with PSpice. The closed switch should look like .---->. instead of having that 45 angle. I don't know if it matters or not, so yea.. Homework Equations Rp = (R1 * R2)/ (R1 +...
  34. I

    Finding RLC from Freq and Impediance (AC Ckt)

    [SOLVED] Finding RLC from Freq and Impediance (AC Ckt) Homework Statement 1. Determine the values of R, L and C in an AC circuit to satisfy the following criteria: (i) the impedance at resonance is 5 k Ohms (ii) the resonant frequency is 60 Hz (USA standard) (iii) the voltage lags the...
  35. Q

    Help, RLC Circuit Problem - Peak Current At Resonance

    Homework Statement A 5 Micro-F Capacitor, a 65mH Inductor, and a 10 Ohm resistor are connected in series Find the resonant frequency of this circuit. Determine the peak current at resonance, if the peak voltage is 100V Homework Equations Fr = (1/2Pi) Square Root(1/LC) I don't know...
  36. D

    Energy stored in a RLC circuit

    Homework Statement A 21.0 \mu F capacitor is charged by a 160.0-{\rm V} power supply, then disconnected from the power and connected in series with a 0.220-{\rm mH} inductor. Calculate the energy stored in the capacitor at time t = 0{\rm{ ms}} (the moment of connection with the inductor)...
  37. T

    Resonant RLC Circuit Homework - Purcell 8.4

    Homework Statement Purcell 8.4: In the resonant circuit of the figure(I'll reproduce the image below) the dissipative element is a resistor R' connected in parallel, rather than in series, with the LC combination. Work out the equation analogous to Eq 2. (d^2V/dt^2 + (R/L)(dV/dt) + (1/LC)V = 0...
  38. R

    Solving RLC Circuits: Using Thevenin, Norton, etc.

    hey everybody!...sorry for the stupid question...Can you use Thevenin, Norton, superposition and Node analisys in RLC circuits?...if so...could you pass some examples circuits?...Thanks!
  39. J

    Solving RLC Circuit Homework | Help Needed with Finding A and B

    Homework Statement I'm having some problems solving this RLC circuit, if anyone could help. R = 2 ohms C = 2/3 F L = 1/2 H The top picture is when t < 0 The bottom picture is when t > 0 Find v_o(t) (notice V_0 is the defined +- voltage over the resistor)...
  40. J

    Engineering  Solve Overdamped RLC Circuit | i_R(t)

    [SOLVED] Overdamped RLC circuit Homework Statement In a parallel RLC circuit determine i_R(t). R = 20 mohms L = 2mH C = 50 mF v(0+) = 0 (capacitor) i(0-) = 2mA (inductor)My question is what is i_R(0^+)? According to my final answer, it should be 0. However, went I graph it with PSPICE, it...
  41. B

    Archived Series RLC Circuits: Calculate VL, VC, VR & Phase Angle Phi

    Homework Statement A series RLC circuit has a 0.19 mF capacitor, a 16 mH inductor, and a 10.0 resistor, and is connected to an ac source with amplitude 9.0 V and frequency 60 Hz. (a) Calculate the voltage amplitudes VL, VC, VR, and the phase angle phi . VL = V VC = V VR = V...
  42. A

    Solve Series RLC Circuit: Kirchhoff's Loop Rule

    Given a series RLC Circuit driven by a generator, Kirchhoff's Loop Rule gives: V_{peak} cos \omega t - L\frac{di}{dt} - IR - \frac{Q}{C} = 0 - OR - V_{peak} cos \omega t = L\frac{d^{2}Q}{dt^{2}} + \frac{dQ}{dt}R + \frac{Q}{C} I have never done second order differential equations, so...
  43. D

    RLC Transfer Function for Voltage Across the Capacitor

    Homework Statement We have a series RLC circuit with x(t) as the voltage source. We are to find the frequency response function H(w) from the input x(t) to the output y(t)=Vc(t) - ie the voltage across the capacitor. Homework Equations The Attempt at a Solution My answer...
  44. S

    Solve RLC Circuit Problem - Small & Large Frequencies

    RLC Circuit problem. Please Help! Homework Statement In the figure, what is the current supplied by the emf when the frequency is very small? What is the current supplied by the emf when the frequency is very large? Homework EquationsI am not sure but: wo=1/sqrt(LC) Vr=IR Vl=IXl Vc=IXc
  45. K

    RLC Circuits: Current from Emf at Very Large/Small Freq.

    Homework Statement What is the current supplied by the emf when the frequency is very large and very small? ------------------------- | | | ------------------------ | | | |...
  46. V

    Parallel RLC circuit: find resonant frequency and Input at that frequency

    Homework Statement In the circuit below, find the resonant frequency (\omega_0) and Z_{IN}\left(\omega_0\right). http://img143.imageshack.us/img143/9845/problem1444dx4.jpg Homework Equations \omega_0\,=\,\frac{1}{\sqrt{LC}} The Attempt at a Solution The resonant frequency is easy to find...
  47. G

    How can I derive the quality factor in an RLC circuit?

    I need some help deriving the quality factor in an rcl circuit Q=Lw(sub 0)/R. So far I know that Q=w(sub 0)/delta but my professor used this formula to continue the derivation delta w=R/L and I don't know where it comes from. Can anyone give me a hint?
  48. L

    Analyzing RLC Series Circuits Using Laplace Transforms and Complex Variables

    Homework Statement I need to solve the following equation to get I = V/((R^2+(Xl-Xc)^2)^1/2). Homework Equations -I[(1/c - w^2L)sin(Φ)-Rwcos(Φ)]-wV=0 we know that tan(Φ) = (Xl-Xc)/R Xc = 1/wc Xl = wL The Attempt at a Solution I[(1/c - w^2 L)sin(Φ)-Rwcos(Φ)]=wV I[sin(Φ)/c -...
  49. S

    Need L and C to be in series in order to have a RLC series circuit?

    Do you only need L and C to be in series in order to have a RLC series circuit? (So where you put R doesn't matter right?).
  50. H

    Help with Last RLC Circuit M/C Question

    Hi everyone, Srry to post a different homework question in your thread here, but tried to start a new topic/thread but for some reason, the system is not letting me. Here is my question: It's the last m/c question out of 30 that I am doing tonight, and I'm having a bit of trouble...
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