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. e0ne199

    Engineering Question about free source RLC circuit

    Homework Statement below is my question : Homework Equations all of the equatios used to solve this problems are equations for free source RLC circuit. The Attempt at a Solution so far i have solved problem (a), whose answer is -1400V/s, the problem is when i want to solve (b) and (c) do...
  2. R

    Plotting a RLC Circuit: Analyzing a Differential Equation

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  3. O

    How to solve the differential equation for driven series RLC circuit?

    Homework Statement It is the driven series RLC circuit. It is given in the following images. It is from the section 12.3 in this note. Homework Equations The differential equation, as given by 12.3.3, is ##L \frac{d^2 Q}{d t^2} + R \frac{d Q}{d t} + \frac{Q}{C} = V_0 \sin{(\omega t)}##...
  4. Kelsi_Jade

    Design a series RLC filter for 10kHz

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  5. clamatoman

    Solving for Imax and Energy in an LC Circuit: Homework Help

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  6. solour

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  7. S

    RLC Circuit lab equipment problem

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  8. T

    Engineering Can the RLC Circuit Homework be Solved Using Different Methods?

    Homework Statement R = 125 ohms, L = 200 mH, C = 5 uF, initial current in L is -0.3A, and initial voltage across C is 25V. Homework Equations v(t) = (Bcos(wt)+Csin(wt))e^(-at) The Attempt at a Solution I've solved for v(t) t>0 and got 25e^(-800t)(cos(600t)+ (4/3)sin(600t)). The second...
  9. Asmaa Mohammad

    RLC Circuit Behavior with Changing Frequency, Capacitance, and Voltage

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  10. J

    Trouble Understanding RLC Circuits: Detailed Explanation for 250W Power Release

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  11. A

    Polarity of capacitor/inductor in RLC circuit

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  12. S

    RLC Circuit with a Gyrator as an Inductor

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  13. R

    Q factor of an AM radio RLC circuit

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  14. P

    Damping coefficient in RLC model (piezoelectric transducer)

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  15. E

    Engineering RLC Circuit, Find Diff Eq for VC - Can someone check my work?

    Homework Statement Find the differential equation for VC Circuit #1 Circuit #2 Homework Equations KCL The Attempt at a Solution Circuit #1: Node VC: ##\frac{V_C-V_{in}}{R_1}+\frac{1}{L_1}\int_{0}^{t}(V_C-V_2)+C_1\dot{V_C}=0## Node V2: ##\frac{1}{L_1}\int_{0}^{t}(V_2-V_C)+\frac{V_2}{R_2}=0##...
  16. E

    Engineering RLC circuit - Can someone check my work?

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  17. E

    Engineering Find the natural response of the RLC circuit

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  18. A

    RLC Circuits Problem: Find Frequency, Decay Time & Current

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  19. E

    Engineering Solving RLC circuit using differential equations

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  20. mkematt96

    Engineering V max of a RLC Circuit. Where did I go wrong?

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  21. garylau

    Where is the RLC circuit time constant"2L/R" coming from?

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  22. gmm

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  23. gmm

    Is an Underdamped RLC Circuit Possible?

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  24. I

    RLC Black box at different frequencies

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  25. K

    RMS Current through RLC combination ciruit

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  26. F

    Engineering Q of RLC circuit, confused with provided answer

    Homework Statement The main question is to derive the Q of the series RLC circuit. This book shows the whole solution but I have a question about a part of their answer. Basically I want to know how ##\frac{1}{2}CV_{Cmax}^2 = \frac{1}{2}C(\frac{i_{max}^2}{wC}^2)## to me it looks like they are...
  27. Kfir Dolev

    I Is it possible to build a phase shifter from RLC components?

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  28. brainphysics

    Engineering Figuring Out a General Solution for RLC Series Circuit

    So, I have been trying to come up with a general solution for dI/dt in an RLC circuit. I have attached the work I have done so far. I don't know where but I am making a mistake and the waveform is not coming out right. Would really appreciate a look over my work to see if I made any obvious errors.
  29. YellowBelliedMarmot

    Engineering Thevenin Equivalent of AC RLC Circuit w/ Dependent Voltage

    Homework Statement Find Vth and Zth. frequency = 2kHz Homework Equations w = 2 * (pi) * f ZL = j w L ZC = -j / (w * C) V = I*Z ZR = R The Attempt at a Solution At first I tried using nodal analysis which I receive the value V = 0 v. I believe this is because this circuit only has dependent...
  30. YellowBelliedMarmot

    Engineering Finding the Current Source of an RLC AC Circuit

    Homework Statement Homework Equations V=IZ[/B] Zc = 1/(-jwc) Zl = jwc w = 2(pi)*f The Attempt at a Solution I'm teaching myself circuit analysis, and it's been rough. Ultimately, I been able to mostly figure everything out, but I've ran into a wall with AC. The main problem I am having...
  31. Hapusss

    RLC Circuit Question For final exam

    Homework Statement [/B] (a) Write down sucient number of equations to determine all the currents i1, i2 and I (you do not need to solve the equations) (b) At the instant the battery is turned on, what is the current I running through the circuit? (c) After waiting for a suciently long time...
  32. A

    Phase problem in a damped RLC circuit

    Homework Statement The expression for electric charge on the capacitor in the series RLC circuit is as follows: q(t)=A*exp(-Rt/2L)*cos(omega*t+phi) where omega=square_root(1/LC-R^2/4L^2) What is the phase phi, if the initial conditions are: q(t=0)=Q I(t=0)=0 Homework Equations The damped...
  33. Titan97

    B RLC Circuit Analysis: Phase Difference & Impedance Modulus

    In an RLC series circuit let applied EMF be given ##V=V_0\sin\omega t##, $$Z=Z_C+Z_R+Z_L=R+i\left(\frac{1}{\omega C}-\omega L\right)$$ $$|Z|=\sqrt{R^2+\left(\frac{1}{\omega C}-\omega L\right)^2}$$ Then $$i(t)=\frac{V(t)}{Z}=\frac{V_0e^{i\omega t}}{R+i\left(\frac{1}{\omega C}-\omega L\right)}$$...
  34. Drakkith

    Charge on Capacitor in RLC Circuit

    Homework Statement At t = 0, the charge stored on the capacitor plates is maximum in an oscillating series RLC circuit. At what time will the maximum possible energy that can be stored in the capacitor fall to one-eighth of its initial value if R = 7.20 Ω and L = 21.0 H? The differential...
  35. Y

    Linear Algebra - Solving AC RLC circuit

    Homework Statement So yeah I'm doing a project were I get to create a problem. I would like to learn how to solve a AC RLC circuit using linear algebra. I'm trying to find all of the currents on the edges of the graphs and find all of the voltages at the nodes connecting the edges. I don't...
  36. ReidMerrill

    How Do You Calculate Impedance in an RLC Circuit at 3000 Hz?

    Homework Statement A series RLC circuit consists of a 60.0 Ω resistor, a 2.30 mH inductor, and a 690 nF capacitor. It is connected to an oscillator with a peak voltage of5.80 V . Part A Determine the impedance at frequency 3000 Hz. Part B Determine the peak current at frequency 3000 Hz. Part C...
  37. R

    Time for capacitor charging in RLC circuit.

    Homework Statement In series RLC circuit how much time it takes for capacitor to charge to 0.63% of source voltage..? time constant is the time taken by a capacitor to charge to 0.63% of source voltage and in rc circuit time constant is RC. but what about for capacitor in series RLC circuit...
  38. Hassan Raafat

    Calculating Half Power Frequencies in RLC Circuits

    at electric circuits , at RLC circuits , in case resonance :why do we calculate the frequencies w1 & w2 at half power frequencies ?
  39. P

    Finding values for an RLC circuit graphically

    Homework Statement Determine ##q(t=0)##, ##i(t=0)##, the phase difference ##\phi##, angular frequency ##w## and the time constant ##\tau## from the graph of the capacitor waveform below:(pulse voltage source) For this circuit we have ##q(t)=Ae^{-\frac{t}{2\tau}}\cos(\omega t+\phi)##...
  40. S

    Measuring Voltage across Resistor in Series RLC Circuit

    I was experimenting with resonant frequency of a series RLC circuit: 5V AC source 10 ohms resistor 100microF capacitor 46mH inductor Resonant frequency is calculated to be around 74.2Hz. So I set the AC source to resonant frequency 74.2Hz and measured the voltage across the 10 ohms resistor...
  41. Aristotle

    Engineering KVL for a RLC circuit given current direction and polarity o

    Homework Statement KVL for a RLC circuit given current direction and polarity of a resistor? Here is the diagram of the circuit: Homework Equations KVL Sum of voltages equal zero The Attempt at a Solution I am actually looking for the voltage across the inductor (VL), so I decided the...
  42. Captain1024

    Engineering Analysing a 3-Loop RLC Circuit and Finding State Equations

    Homework Statement Obtain the state equations in Matrix form for the two-input and one-output circuit shown in the figure below where the output is i_2. Homework Equations Ohm's Law, KVL, KCL The Attempt at a Solution Currents i1, i2, i3 assumed clockwise. Is there a better assumption I...
  43. B

    Impedances of R, L, C, RL, RC, LC and RLC circuits

    Homework Statement In first place, ignore the source in each circuit, ignore if make sense or not. I placed one sorce in each circuit just for the circuit be more visible. In second place, ignore the numerical values of the sources, resistors, capacitors and inductors. Think R, L and C in...
  44. A

    Quick question on Parallel RLC circuit (Conceptual)

    Homework Statement Even conceptual problem in the text: Consider a standard RLC circuit driven by an AC source in which the elements are in parallel. Construct a phasor diagram and develop an expression for the phase angle θ. Now remove the resistor from the circuit, can you still develop an...
  45. R

    Answer verification Series RLC, Reactance, Voltages, Current

    Homework Statement All relevant data and variables are included in the image. The questions are also included in it. Homework Equations My questsion is just verification. I have attempted all the asked questions on the paper. Its frustrating as the papers don't include answers to check them...
  46. lulzury

    RLC Circuit time for Energy to drop to 20% of initial value

    Homework Statement In an oscillating series RLC circuit, with resistance R and inductance L, find the time required for the maximum energy in the capacitor during an oscillation to fall to 1/5 its initial value. Assume q = Q at t = 0 Homework Equations ## U(t) =...
  47. hdp12

    Engineering Given RLC circuit to find V over load & other complications

    Homework Statement In my Intro to EE class we have a homework assignment with the following problem: I think I finished part a but want to make sure that I am doing the problem correctly before I move on to the next part. Homework EquationsThe Attempt at a Solution
  48. T

    Engineering Find Frequency for Zero Reactance in AC Circuit

    The question is: The voltage source in the above circuit is a sinusoidal AC source with constant amplitude and constant phase shift but an adjustable frequency. Calculate the frequency ω at which the phasor current I...
  49. J

    Solving a Series RLC Transient Analysis Problem

    Let's say we have a free-source series RLC circuit. The differential equation that describes the behavior of the transient is given by Ri+L\frac{di}{dt}+V=0, where V is the potential difference across the capacitor. But I have trouble understanding the way this equation is developed. For...
  50. S

    RLC Circuit Homework: Find L, Z, I, and P

    Homework Statement A series RLC circuit has R=75 ohms, C=20 mF and a resonance frequency of 5.0 kHz. (i) What is the value of inductance? (ii)What is the impedance of the circuit at residence? (iii)What is the rms current at resonance if the rms voltage of the power supply is 120 V? (iv) How...
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