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. F

    Finding the Steady State Solution for a RLC circuit

    Homework Statement An ideal AC voltage source generating an emf V (t) = V0 cosωt is connected in series with a resistance R, an inductance L, and a capacitance C. a) Find the steady-state solution for the charge, q(ω,t), which is of the form q0(ω)cos(ωt− δ(ω)). b) Find the steady-state...
  2. Roy Fokker

    Engineering Second Order RLC Circuit: Find DEQ & Circuit for Time t>0

    Homework Statement Find DEQ, circuit for time t>0. Homework Equations Ic= CdVc/dt Vl=LdiL/dt The Attempt at a Solution At T=inf L Short , C Open IL(inf)=4mA, VL(inf)=0, Ic(inf)=0, Vc(inf)=0 T=0- All at 0 T=0+ L=Open C=Short IL(0+)=0, VL(0+)=0, Ic(0+)=4mA, Vc(0+)=0 20v=L diL/dt + Vc +...
  3. B

    RLC, RL, RC and LC circuits and ODE

    Look this schematic picture: S means source and can be a current source or a voltage source. C_1, C_2 and C_3 are linear components, can be resistor, capacitor and inductor. In the everycircuit, I tried set up all possible combination and the everycircuit denied some combinations, but...
  4. Luke Cohen

    Maximum energy stored in a capacitor? RLC circuit

    Homework Statement The current in a series RLC circuit leads the generator voltage by φ = 30°. The circuit, containing an inductor L = 400 mH and a resistor R = 50 Ω, is driven by a generator operating at ω = 100 rad/s with a maximum emf of 10 V. The capacitance is unknown. The first question...
  5. A

    Calculating Impedance of a RLC Circuit Connected to a 60 Hz AC Source

    Homework Statement A series RLC circuit is connected to a 60 Hz AC source which produces an amplitude of εmax=20 V. The circuit element values are R= 20 Ω, L= 20 mH, C= 150 μF. Calculate the total impedance of the circuit. Homework Equations Xc=1/ωC XL=ωL Z=√(R^2 +(XL-Xc)^2) tan φ = (XL-Xc)/R...
  6. A

    Engineering Quality factor and freq bandwidth in a series RLC circuit

    Homework Statement How and why does quality factor change in a series RLC circuit when the resistance in the circuit increases? I've made a small experiment circuit which looks like one in the picture: The current frequency is 1 kHz and the voltmeter should show 2V throughout the whole...
  7. R

    Solving Series RLC Circuit: Vrms Across Capacitor & Inductor is Zero

    Homework Statement Given a series RLC circuit: R = 10 Ω L = 0.1 H C = 2 μF Power Source: V = 5sin(500t) If you could change the capacitance what C would you select so Vrms across the capacitor and inductor is zero? Homework Equations ω2 = 1/LC The Attempt at a Solution My instructor's...
  8. dwn

    Series RLC - calculate V w/ different ƒ

    Homework Statement Series RLC - Band Pass Filter[/B] R = 2700Ω Vi = 5 Vpp C = 10 nF L = 33 mH I need to find the voltage across the resistor for different frequencies. Homework Equations w = 2pi*ƒ V = R*Vi / (jwL + 1/jwC+R) The Attempt at a Solution This is from a lab experiment. How can I...
  9. dwn

    How to Calculate RLC Phase Angle in Multisim

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  10. P

    Find resistance of inductor in series RLC circuit

    Homework Statement We have a resistor of 350 Ohm, an inductor of 0.15H and a capacitor of 10 microfarad, connected in series to an AC source of voltage 240 V and frequency 50 Hz. The measured effective voltage over the resistor is 180V, and over the system of the both the inductor and the...
  11. W

    Calculating inductance of an LR and RLC Circuit?

    Homework Statement For both the LR and RLC circuit, a function generator is used to create a 1000 Hz square wwave of maximum amplitude. 1) For the following LR circuit, the resistance is set to a 100 Ohms. Determine the inductance, L. How does the inductance vary if the resistance were...
  12. B. Vane

    RCL Circuit: 2 Resistors, 1 Capacitor, 2 Inductors

    Homework Statement NOTE: Image uploaded with thread shows problem in clearest possible form. V = (45v)sin(80[pi] t) Resistors 1 and 2 = 50 Ohms Inductor 1 = 20 mH Inductor 2 = 2.5 mH Capacitor = 50 uF a) Find the power dissipated by each resistor. b) At what frequency will both resistors...
  13. B

    Engineering Finding the Second Constant in an XRLC Circuit Current Response Problem

    Homework Statement FIND i(t). [/B]Homework Equations VL = L*(di/dt) (Equation 1) IC = C*(dV/dt) (Equation 2) I(t) = e^-9*t*(A*cos(4.359*t) + B*sen(4.359*t)) A (Equation 3) The Attempt at a Solution I can get the exact value of the constant B as shown in the answer if I use -6 after the...
  14. T

    Engineering RLC circuit -- determine the voltage across each element

    Homework Statement For the series RLC circuit shown in Fig. Q8, determine the voltage across each element, and draw a complete phasor diagram. Homework EquationsThe Attempt at a Solution Total Impedance: Z = R+Xc+Xl = 75 - 60j + 25j = 75-j35 Z = 82.76∠-25.02 (Phasor form) Total...
  15. C

    Analysis of RLC Circuit v(t): Find Voltage with Ohm's Law

    http://imgur.com/hAzf2zP So I found the circuit is series, w0 and a0 equal 20 so it is critically dampened. For V(inf) I used current divider to get the equation (.1 A *120 ohm)/40 ohm = .3 A. Then I used ohms law to find v(t) = .3*120 = 36 V. I then wrote down the circuit at t<0, t>0, and...
  16. W

    Resonant RLC circuit and in inductance

    1. A resonant RLC circuit can be used as an amplifier for a certain band of frequencies around the resonant frequency. Consider a series RLC circuit as an audio band amplifier with an AC voltage source as the input, and the voltage across the 8.0Ω resistor as the output. The amplifier should...
  17. P

    Engineering RLC Circuit (lab session doubt)

    Homework Statement I have to answer a few questions about a lab session I did (university) and I'm really stuck with this one. The objective of the lab session was to find the self inductance (L) of a solenoid. In order to do that, I had a function generator exciting a solenoid with a high...
  18. S

    Finding the current Io for t>0 in a RL circuit

    Homework Statement For the circuit in the attached file, find io (current) for t>0 Homework Equations The Attempt at a Solution I have included an attachment which shows the solution. However, I will copy the solution here as well for reference: When t<0, the switch is closed, the inductor...
  19. jcoona

    Engineering RLC Series Circuit: Understanding Inductor Behavior

    Homework Statement I am not sure how an Inductor behaves in an RLC Series Circuit Homework Equations The Attempt at a Solution I know that after a long time, that the circuit above, the voltage in the capacitor is max. Generally, I also know that the current through an inductor after a...
  20. JasonHathaway

    Solve Multiple RLC Problems: Currents & Voltages

    Homework Statement a)[/B] For the following circuit, if Vrms= 40V, write the current and the voltage equations. http://www.imageupload.co.uk/images/2015/02/26/Captureaa814.png b) For the following circuit, if i=0.8 sin(1000t-30), write the voltage equation and determine the average value of...
  21. S

    Engineering Finding the component values of a RLC circuit

    What methods could I utilise to find the individual values of the components - resistor, inductor and capacitor - of a series RLC circuit using an oscilloscope, signal generator and 10 ohm resistor. Where each component can be isolated in order to find the voltage etc. I've already found the...
  22. B

    Differentiator/Integrator circuits: Op-amp vs RLC circuits

    It is possible to use a capacitor/inductor in an op-amp to allow it to perform the mathematical function of differentiating or integrating an input signal. It is also possible to do this without an op-amp, using simply resistors, inductors and/or capacitors. So what are the advantages of using...
  23. D

    Find phase angle of RLC network

    Homework Statement Please see attachment for circuit and parameters. Homework Equations i --> 90 phase angle for inductor so Z of inductor = 0.5<90 sum of voltages = 0 #<40 = #*cos(40) + i*sin(40)*# The Attempt at a Solution shteii01 - 100 + 0.5<90 + V2<theta = 0 --> 100 + 0.5*cos(90) +...
  24. J

    Setting up an LRC series circuit with coupled coils

    Homework Statement I have been trying to set up an LRC series circuit where in place of an inductor we have a pair of coupled coils. My aim is to determine the resonant frequency in the circuit when the voltage across the resistor or the current in the circuit is at a maximum. I am using a...
  25. B

    Question about the RLC circuit

    In the direct current circuit, when you have a switch and you turn it on, you get the coil to generate a current to the opposite direction but the magnitude isn't big enough to offset the main one. But in the case of alternating currents, the coil seems to generate enough current up to the...
  26. S

    Find Natural Response of RLC Circuit: No Forcing Voltage?

    To find the natural response of a RLC circuit driven by a time-varying voltage, why do we assume that there's no forcing voltage driving the circuit even if there is one?
  27. B

    Instantaneous currents in RLC Circuit

    Homework Statement I am completely stumped on this problem: In this circuit: v= 30.0 R = 400 ohms C = 2.50 micro coulombs L = .300 H The switch (pretend you see one) is close at t=0 Current i1 flows through L and current i2 flows through C QUESTION: At what time (t) does i1=i2 ...
  28. K

    Engineering C = 10^-6Analyzing Parallel RLC Circuits: A Challenging Homework Problem

    Homework Statement 2. Homework Equations Resonant Frequency = 1 / [2 * pi * squareroot(LC)] Inductive Reactance = 2 * pi * f *L Capacitive Reactance = 1 / (2 * pi * f * C) Q = XL/Rw BW = fr/Q[/B] The Attempt at a Solution The information in the handy dandy jpeg I created is LITTERALLY all...
  29. T

    Engineering Solve RLC Circuit Problem - Get Help Now

    Hello, I have to solve the following problem but I don't know how to find the I(t) from I(ω). I've already found that the total impedance of the circuit should be (1000/29)-j(255/29). Can anyone help me, please? I haven't done Integration and Derivatives. Thank you for your help.
  30. icesalmon

    Second order ODE for RLC circuit

    if I consider a circuit consisting of a capacitor, an inductor and a resistor and using kirchhoffs voltage rule for the circuit i come up with the following L(Q''(t)) + R(Q'(t)) + (Q(t))/C = 0 I solve for the roots using a characteristic equation of the form LM2 +MR +(1/C) = 0 solving this for...
  31. E

    How Does Frequency Affect RLC Circuit Outputs?

    Homework Statement In each of the four circuits shown, an AC input voltage, ##V_0 cos(\omega t)## is applied on the left and the output voltage is measured on the right. Treat the input frequency as a...
  32. LCKurtz

    Anyone have a simple RLC circuit in Mayura Draw?

    I'm writing a short document in LaTeX and I can't find any .eps files online for inductors, capacitors, or resistors. If someone has a Mayura draw circuit containing those components that they would share, I could modify it with MD to do what I need. I've tried drawing an inductor myself, but it...
  33. M

    Finding vC(t) for a Critical Damping RLC Circuit

    Homework Statement In the circuit in the following figure, the resistor is adjusted for critical damping. The initial capacitor voltage is 15 V, and the initial inductor current is 6 mA and R=1250 ohms Find vC(t) for t≥0. Express your answer in terms of t, where t is in milliseconds...
  34. E

    Engineering On determining the -3dB point in an RLC circuit

    Homework Statement OK, I have the response function for a notch filter, and I want to find out what the frequency where it has the -3dB response. Homework Equations H(\omega) = \frac{1-\omega^2LC}{1-\omega^2LC+i\omega RC} This is my response function. My \omega_0 = \frac{1}{\sqrt{LC}} The...
  35. A

    Resonance - rlc series circuit

    Homework Statement in series rlc circuit maximum voltage across inductor occurs at which frequency?Homework Equations The Attempt at a Solution In the series rlc circuit current through the inductor is maximum at the resonance frequency. But I don't know whether at resonance frequency maximum...
  36. D

    How do I build simple circuits?

    Hi, I've been trying to teach myself electronics. I have read a lot of introduction books and now want to build a circuit. However, I have not been able to find good books on how to assemble simple circuits. In other words how the parts (resistors, caps, coils, diodes, transistors) go...
  37. C

    Exploring RLC Circuits: A Scientist's Perspective

    Homework Statement Homework Equations Impedance formula and couple others.The Attempt at a Solution
  38. J

    RLC changes negatively when is measured in the inverse sense?

    If ##V_{BA} = P_B - P_A## (where V is the voltage and P the potential) so, ##V_{AB} = - V_{BA}##. The same ideia for the current: ##i_{BA} = - i_{AB}##, so this ideia of sense is true too for resistor, inductor and capacitor? The resistance, inductance and capacitance of an arbitrary sense is...
  39. J

    Can an ODE accurately model an RLC circuit with additional sources?

    The equation for this physical model is: http://upload.wikimedia.org/wikipedia/commons/f/fb/RLC_series_circuit_v1.svg And for this is: http://upload.wikimedia.org/wikipedia/commons/d/d0/RLC_parallel_circuit_v1.svg But and if now I add a source of current in those schemes, the...
  40. M

    Solve RLC Series Circuit: V, f, L, C Given

    Homework Statement In an RLC series circuit, the rms potential difference provided by the source is V = 150 V, and the frequency is f = 220/pi Hz. Given that L = 0.7 H, C = 70 µF, and V_R = 80 V, find: a) I (rms); I = A b) R; R = Ω c) V_L (rms); V_L = V d) V_C...
  41. dwn

    Engineering What is the critical damping equation for this series RLC circuit with R = 1.5?

    Homework Statement Image Homework Equations Critical damping : e-αt(At + B) R = 1.5 The Attempt at a Solution I'd like to post this before anything else to make sure that I've analyzed the circuit correctly. t < 0: vc(0) = 9V , iL(0) = 9/4 = 2.25A i = e-t/3(At + B) i(0) = B = 2.25A...
  42. dwn

    Understanding RLC Circuits: Critical Damping & Homework Equations

    Homework Statement Image Homework Equations Critical Damping * related to '*' on image : diL/dt = -vc(0) - Ri(0) When do we use this to solve for the other constant? In the text, an example problem is never fully explained in mathematical terms. The Attempt at a Solution I am looking...
  43. gfd43tg

    Engineering Is My Critically Damped RLC Circuit Formula Correct?

    Hello, I am working on this problem However, I am getting a 900t term that the solution is lacking. I am wondering if what I did was wrong. My formula is consistent with the formula for a series RLC circuit that is critically damped.
  44. gfd43tg

    Optimizing RLC Circuit with Extra Resistors for Improved Performance

    Hello, I am working on this problem I am having some difficulty finding the right answer. A few points I'd like to expand on so that one can understand my thought process. First off, there is a standard table with the solution to series RLC circuits. I don't think I can use that table with...
  45. M

    Engineering How to Find Power in an RLC Circuit

    Homework Statement A1 = 5A, A2 = 4A, A3 = 3A. V = 120V a) Given the circuit above, find A4 b) Find the angle between E and IT. Draw a diagrammatic (?) and find the power in the circuit. c) Find the values of R, L and C. Homework Equations The Attempt at a Solution...
  46. dwn

    Engineering Solve RLC Switch Circuit Homework

    Homework Statement Image Homework Equations The Attempt at a Solution for t > 0: α = 1/2RC = 250 ω = 1/√(LC) = 150 ω < α overdamped s1 = -50 s2 = -450 vc(t) = Ae-50t + Be-450t dv/dt = -50Ae-50t - 450Be-450t for t <0 : Vcap = 12(1/6) = 2 V (open circuit) Iind = 12/6 = 2 A (short...
  47. E

    Parallel RLC Circuits - Help please

    Homework Statement I'm working through this question, but on the final part I've hit a brick wall so I'd be grateful for any help please. The tuned circuit has a Q-factor of 1000 and is designed to resonate at 1MHz. At resonance, the supply current I is measured at 15μA for supply...
  48. H

    How Do You Calculate the Input Power of a Series RLC Circuit?

    Homework Statement A series RLC circuit contains the following components: R = 250 Ω, L = 0.300 H, C = 3.00 µF, and a source with ΔVmax = 240 V operating at 70.0 Hz. Our goal is to find the phase angle, the power factor, and the power input for this circuit. (g) Find the power input to...
  49. dwn

    Engineering Analyzing source free RLC circuit

    Homework Statement Attached an image with the exact question. Homework Equations α = 1/2RC ω = 1/√(LC) α > ω i(t) = Aest + Bect The Attempt at a Solution (a) First I found ω and α ---- ω = 1.4*10^5 1.4*10^5 < 1/2RC → R > 357.1429 Is it safe to assume...
  50. D

    MHB RLC Series Circuit: State Equations

    Using the capacitor voltage \(v_c(t)\) and the inductor current \(i_L(t)\) as states, write the state equations for the RLC series circuit shown in the figure. We can write that \(e(t) = iR + \frac{di}{dt} + \frac{1}{C}\int i(t)dt\). I am not sure with what it wants when it says to write it...
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