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. gfd43tg

    Engineering Finding values of RLC circuit given resonance frequency

    Homework Statement A series RLC circuit is driven by an ac source with a phasor voltage Vs = 10∠30◦ V. If the circuit resonates at 103 rad/s and the average power absorbed by the resistor at resonance is 2.5 W, determine the values of R, L, and C, given that Q = 5. Homework Equations...
  2. L

    Phase angle between peak source voltage and peak voltage across RLC?

    Homework Statement An LRC series circuit with R = 200Ω , L = 31mH , and C = 1.8μF is powered by an ac voltage source of peak voltage V0 = 540V and frequency f = 550Hz. What are the peak voltages across the inductor, capacitor, and resistor and their phase angles relative to the source...
  3. A

    Engineering Frequency response H(w) problem for rlc circuit

    Homework Statement for the circuit below, compute frequency response H(w) using method of complex impedence. then if x(t) is input signal (we have equation but, say it is A*sin(wt), find y(t). Homework Equations transfer function H(w)=vout/vin The Attempt at a Solution R || L =...
  4. dwn

    Engineering RLC Parallel Circuit: Solving for Current & Energy

    Homework Statement See image Homework Equations .5Li2 .5Cv2 The Attempt at a Solution How do I calculate the current for a circuit of this type? I am unable to find any examples in our text. Can I use the following formulas to solve for the current flowing through each component: I(r) =...
  5. Saitama

    Solve RLC Circuit Problem: Half Power at Resonance

    Homework Statement A series LCR circuit with ##L=0.125/\pi## H, ##C=500/\pi## nF and ##R=23\,\Omega## is connected to a 230 V variable frequency supply. For what reactance of circuit, the power transferred to the circuit is half the power at resonance? Homework Equations The...
  6. J

    Engineering Series RLC Circuit Response: Finding Natural and Forced Responses

    Homework Statement I attached a picture of the circuit. f(t) = (e-t)u(t), VC(0-) = 2V, iL(0-) = 1A Obtain an expression for the total response, y(t), for the given system by finding the natural and the forced responses. Homework Equations v(t) = Ri(t) v(t) = Ldi(t)/dt v(t) =...
  7. D

    MHB Solving the RLC Circuit Differential Equation

    Determine the differential equation relating \(v_i(t)\) and \(v_0(t)\) for the RLC circuit in the figure. Would this just be \[ v_i(t) = 3i + \frac{di}{dt} + 2\int i(t)dt \] but \(v_0 = 2\int i(t)dt\). Do I need write it as \(v_0\) or as \(2\int i(t)dt\)?
  8. B

    Engineering Solving for R in RLC Circuit to Achieve 3V Magnitude of V

    In the circuit shown below, find the value of the resistance R that is necessary to make the magnitude of V equal to 3 volts. Can anyone please help me to solve this out?
  9. S

    Capacitively coupled RLC circuits

    Homework Statement Given a set of two capacitively coupled RLC circuits where each has a capacitor C and they share a coupling capacitor C^{'}. I'm trying to find nice organized material that will explain the various relevant coefficients\concepts like QF, bandwidth etc. in relation to the...
  10. H

    Current peak time in RLC circuit?

    I am trying to figure out how to calculate the time at which current will peak in the following circuit. Seems to me the capacitor will have no effect and the circuit will become a basic LR circuit in which the time constant is: 10/10010=.00099 x 5 = 4.9mS. Is this correct? Any help...
  11. S

    Engineering Solving a Parallel RLC Circuit with a Variable Frequency Supply

    Homework Statement A coil of inductance 0.20 H, resistance 60ohms is connected in parallel with a 20 µ F capacitor across a 20 V, variable frequency supply Homework Equations The Attempt at a Solution Homework Statement I have done a RLC circuit diagram for the problem above...
  12. J

    Engineering Transient Analysis of an RLC Circuit

    Homework Statement For a series circuit with the following components: 1. Vin(t) 2. 1K resistor 3. 100 mH Inductor 4. 1 uF capacitor 1. Write down the differential eqn. for Vc in the circuit. 2. Solve the DE, calculate the natural and forced response with the following initial...
  13. C

    Engineering Solve RLC Circuit: Find Capacitor, Voltage, Power

    Homework Statement A series RLC circuit consists of resistor of 200Ω, an inductor of 0.214H and a capacitor of unknown value. When this circuit is energized by 240∠0°, 50Hz sinusoidal supply, the current was found to be 2.6∠0° amperes. Determine: (i) Value of capacitor in microfarad (ii)...
  14. C

    Engineering RLC circuit with two angular frequencies

    A resistor, an inductor of inductance value of 0.02H and a capacitor are connected in series. When an alternating voltage of 200sin(1000t-10°) is applied to the series combination, the current flowing through the circuit is 20√2sin(2000t-20°). Determine the values of resistor and capacitor...
  15. B

    Reoccurring Error in RLC Series Circuit Problems.

    Hi All, In doing some practice RLC series circuit question, I have been obtaining incorrect values for active and reactive power. The magnitudes I obtain are correct however the sign of the value is not. I have attributed this to obtaining an incorrect argument for the absolute power, or...
  16. N

    Engineering How to derive equation from RLC circuit?

    Homework Statement http://imageshack.com/a/img580/682/z3mt.jpg Derive a linear differential equation for the above LTI system. Homework Equations i_C=C\frac{dV_C(t)}{dt} V_L=L\frac{di_L(t)}{dt} The Attempt at a Solution Using KVL, I can get the following equation...
  17. U

    Finding impedance of rlc parallel ckt

    in most of the books i have seen that while finding an impedance for an parallel RLC circuit first they find the individual admittance of each of the element the after summation of these they take reciprocal to find the impedance why is it done like that can't we find the impedance in a normal...
  18. X

    Differential equation describing RLC cicuit

    Homework Statement Find the input/output differential equation for the LRC circuit in the given figure. The figure is shown in the attachment. Homework Equations V(t) = Ri(t) For inductor, v(t) = Ldi(t)/dt I(t) = 1/L∫v(λ)dλ For capacitor, dv(t)/dt = i(t)/C v(t) = 1/C∫i(λ)dλ...
  19. E

    Damped Oscillations in an RLC circuit

    Homework Statement A single loop circuit consists of a 7.2 ohm resistor, a 11.9 H inductor, and a 3.4*10^-6 F capacitor. Initially the Capacitor has a charge of 6.3*10^-6 C and the current is zero. Find the charge on the capacitor N complete cycles later for N=5.Homework Equations 2. Homework...
  20. R

    RLC Zero State/Zero Input Response

    Homework Statement In the above diagram, iin(t) = -0.5u(-t) + 2u(t) A R = 2 Ω L = 1 H C = 8 mF Find the zero-input, zero-state, and complete responses of vC(t) and iL(t) for t > 0. Homework Equations σ = R/2L for series RLC circuits ωn = 1/(sqrt(LC)) for RLC circuits ωd =...
  21. T

    Determining Current and Voltage Drop in RLC Circuit

    Homework Statement A circuit contains a 100Ω resistor, a .0500H inductor, a .400μF capacitor, and a source of time-varying emf connected in series. The time-varying emf is 50.0 V at a frequency of 2000 Hz. a) Determine the current in the circuit. b) Determine the voltage drop across...
  22. V

    Engineering Parallel RLC circuit confusion

    Homework Statement Find vL(0+) Homework Equations V=IRThe Attempt at a Solution I have an exam tomorrow and so I'm in a bit of a hurry so please excuse the horrible drawing. The problem I'm having with this question is a conceptual one. I've found vL in this this circuit by first finding...
  23. P

    Natural and step response RLC find iL(t)

    Homework Statement The switch in the circuit in the figure has been open a long time before closing at t=0. Find iL(t) t>0 Express your answer in terms of t, where t is in milliseconds. https://www.flickr.com/photos/84781786@N03/8899251427/ The Attempt at a Solution We simplify...
  24. K

    RLC Circuit: Calculate Resonant Frequency, Reactance & Impedence

    This is my question 1. and this is my question 2. in a RLC series circuit show above are replaced following : R=500Ω L=0.4mH and C=100pF the circuit is connected to the terminals of an ac source with an rms voltage of 1V, and a variable frequency calculate the following A) resonant...
  25. K

    Engineering Multisim rms current and voltage RLC Circuit

    Trying to find rms current at resonance and rms voltage across each elements (resistor, inductor and capacitor) I got the answers but i want it do in multisim ! i got : R = 500 ohm L = 0.40mH C = 100pF The answer is rms current: 0.002A rms voltage: Vr = 1V Vc = 126.52 V Vl = 126.52 V...
  26. K

    Solving for Vr and VL in an RLC Circuit

    Homework Statement Hi i got this question ? have to find Vr and VL so can i use this formula : VR = IR VL = I * XL? confuse ?? need help ?? am i on right track?
  27. V

    Engineering Parallel RLC circuit initial values

    Homework Statement For the circuit shown (in the attachment), find iL(0+) and Vc(0+). Homework Equations V=IR The Attempt at a Solution At t=0-; the inductor can be replaced by a short-circuit and the capacitor by an open circuit. This shorts out the resistor so by Ohm's law, the voltage...
  28. C

    Engineering Find load impedance / (Thevenin / Norton too) with RLC & AC circuit?

    Homework Statement For the circuit shown, what value of ZL results in maximum average power transfer to ZL? What is the maximum power in milliwatts?Homework Equations P max = (VTh)2/4RL Thevenin, Norton procedures, voltage division, current division, etc etc The Attempt at a Solution This...
  29. O

    Engineering Series RLC circuit with source

    Homework Statement R=50Ω L=5H C=1/125F vs=200.[1+u(t)] V Find i(t) Homework Equations The Attempt at a Solution Write the KCL equation -vs+Ri+L.i'+1/C.∫idt=0 Do the derivation to get rid of the integral, replace all possibly values, we got: i''+10i'+25i=1/5.vs' (*) solve...
  30. U

    Engineering Solve Parallel RLC Circuit Homework, Find ω0 with Expansion

    Homework Statement Homework Equations The Attempt at a Solution I found ω0 = 1/√LC when IR is at its maximum. (Purely resistive) I have a feeling that the last part requires an approximation and then an expansion which gives 2 values of ω. But the thing is, (1 + x)n ≈ 1 +...
  31. M

    RLC Circuit: Calculate R Given V,f,P

    RLC Circuit - Given V,f,P find R? You have an inductor plugged into a 100 V AC source with a frequency of 50 hertz. There is a power of 6 watts and this can modeled as an LR circuit with R being the resistance from the Inductor. Calculate R.
  32. N

    Is there always a phase shift between current and voltage in an RLC circuit?

    Hey. Say you have an RLC circuit with an AC supply. Then I=ei(ωt-α). My question is: will α always exist, ie will the current always be phase-shifted compared to the voltage, as long as the impedance has an imaginary component or if the circuit is not at resonance? Does Z = |Z|*eiα, where α =...
  33. P

    FM Radio receiver in RLC circuit with .200 microH Inductor

    Homework Statement The tuning circuit in an FM radio receiver is a series RLC circuit with a 0.200 µH inductor a. The receiver is tuned to a station at 104.3 MHz. What is the value of the capacitor int he tuning circuit? b. FM radio stations are assigned frequencies every 0.2 MHz, but two...
  34. G

    Engineering Solving Second Order Homogeneous Circuit Equations | RLC Homework Statement

    Homework Statement https://imageshack.us/scaled/large/708/capturehdx.png Homework Equations https://imageshack.us/scaled/large/845/capturevtq.png V = IR https://imageshack.us/scaled/large/18/captureid.png I_{C}(t) = C\frac{dV_{x}(t)}{dt}...
  35. W

    Need Ideas for RLC Circuit Lab

    Homework Statement Our professor makes us design our own lab. For the lab we have unknown resistors, capacitors and inductors. Using an oscilloscope, function generator and some wires we have to figure out what the values are for all these elements. Homework Equations The Attempt...
  36. M

    Finding parallel resistance of an RLC circuit at resonance from V

    Homework Statement I need to be able to determine the equivalent parallel resistance of an RLC parallel circuit, from a measured voltage when the circuit is at resonance. Homework Equations The Attempt at a Solution I know the values of the circuit element, but I'm not sure how...
  37. A

    Designing Inductor Value for Coupled RLC Circuit

    hello, i am deriving an equation for designing an inductor in a coupled RLC circuit. is there an equation for calculating inductor value by knowing the input and output voltages & output current of the RLC circuit ? i have tried KVL and KCL equations but in vain. please help thank you
  38. A

    Engineering How Do You Calculate iC(t) in an RLC Circuit and Plot Its Waveform?

    Homework Statement find iC(t) in the circuit and plot its waveform for t>=0. Homework Equations i(t)=i(infinity)+e^(-at)[D1cos(wdt)+D2sin(wdt) D1= i(0)-i(infinity) D2=i'(0)+a[i(0)-i(infinity)] aux.: w0=(LC)^(-1/2) wd=sqrt(W0^2 - a^2) s1= -a+sqrt(a^2 - w0^2) s2= -a-sqrt(a^2 - w0^2) The...
  39. P

    RLC Circuit (solved; but not sure where solution is incorrect)

    Homework Statement A power supply with ΔVrms = 111 V is connected between points a and d in the figure below. (It's attached to the thread, but the basic idea is that this is an RLC circuit connected in series). As shown, R = 39.5 Ω, L = 157 mH and C = 73.2 μF. At what frequency will it...
  40. M

    What is the Frequency for In-Phase Current and Voltage in RLC Circuit?

    Homework Statement This was a part question and I got everything else but one part (#4!): 1) A 60-Hz generator with an RMS potential of 240 V is connected in series with a 3350 Ohm resistor and a 1.5 microFarad capacitor. What is the RMS current in the circuit? IRMS = 6.34 * 10-2 A...
  41. S

    Solving 2nd ODE for RLC circuit

    This is really more of a mathematical question than physics. Given a RLC circuit, I will arrive at the following DE: \ddot{Q}+\frac{R}{L}\dot{Q}+\frac{1}{LC}Q-\frac{\epsilon}{L}=0 How do I solve for Q(t)??
  42. A

    Engineering What Are the Initial and Steady State Values in an SPST Switched RLC Circuit?

    Homework Statement SPST switch closes at t=0. Find vC(0-) and iL(0-), iC(0) and vL(0), and vC(infinity) and iL(infinity).Homework Equations The Attempt at a Solution kind of basic circuit, i know, but i just wanted to check my answers in case i did something wrong. At t=0- : capacitor acts...
  43. Y

    Engineering Analysis of a RLC circuit and a Voltage Controlled Switch

    Hello everybody, I am stuck with a circuit that involves voltage controlled switch. Homework Statement The switch is controlled with a square wave generator, Vs1, whose frequency is 100kHz. As far as I know, switch is off when source is on positive phase and vice versa. Therefore, I only...
  44. S

    How Can I Design an Underdamped RLC Resonator Below 3kHz?

    Hi, I thought this would be a simple project but I have not been able to get this to work. I need to design a circuit that exhibits a resonance below 3kHz. It must be underdamped, and the drive current limited to ~5mA. I was usign this as an inductor...
  45. K

    Need help, Series RLC resonance circuit, not getting high voltage

    Hi all. I am currently building a series RLC circuit as a magnetic field transmitter. Because I want to have a strong magnetic field, I need high voltage by making the circuit at resonance. Here are the parameter I used: L:1.15mH R: 50 (internal resistance from functional generator )+...
  46. S

    RLC Circuit Second Order Differential Equation

    Homework Statement Hi there guys I am new to this forum and i have a problem with a bit of cw. It's regarding an RLC circuit. I've come up with a picture (attached) that denotes the equation. Homework Equations I know the equation is L C \frac{d^2 i}{d t^2} + \frac{L}{R} \frac{di}{dt}...
  47. G

    Engineering RLC parallel circuit phasors and current

    Homework Statement Sorry for the stupid question, but I want to be sure whether everything is correct. Here is the problem, I think I managed to do all the parts. 2. The attempt at a solution a)ω=2∏f; ω=4000∏ or 12566.37 rads b)Xl = ωL = 4000∏x0.004=50.27Ω c)I1=R x Vac I2=Xl x...
  48. M

    How Do You Measure Time Constant of RLC Circuit?

    The image attached is of an underdamped RLC step response. I know that I can find the damped frequency of the response by first finding the period of the wave, and manipulating the period such that I can do 2*pi*f. If I'm looking at this waveform and the only info I know about it is this...
  49. D

    RLC Circuit help - Trying to find Vs

    Homework Statement Hi All, First time post so please excuse if i proceed in an irregular fashion. I have the following query with regards to finding Vs on the attached JPEG. I have gained the total Z value for the circuit using both the XC & XL Values, however without having been given...
  50. D

    Engineering RLC circuit - Differential equation - Stationary current calculation

    Homework Statement I'm decent with differential equations for RLC circuits, and I KNOW the stationary current will be zero, but I need help to work it out mathematically, because my maths gets me -2.4A (...) L: 0.05H C: 0.04F R: 3 Ω U (source) = 1 V I've got the transient solution: c1e-10t +...
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