What is Rlc circuit: Definition and 305 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.
Consider the circuit show below, where V1 = V_{peak}sin(\omega t - 36^\circ)
http://img195.imageshack.us/img195/9687/rlc.png
I wish to find an expression for I in the time domain and in phasor form and then sketch the magnitude/phase vs frequency plots. I already managed to get a solution...
Does anyone have a formula for the current in a series RCL circuit, if I have the: resonance frequency, current at resonance, capacitance (only one resistor, one capacitor, and one inductor), the voltage of the battery attached, and resistance?
oké, I'm ghaving a hard time with this one, bt it should be really simple acutally:
picture shows RLC circuit:
by kirchhoff law we can stat that:
+V-R*i(t)-(1/C)*integral(i*dt)-L*(di/dt)=0
I do understand V, R*i(t) and )-(1/C)*integral(i*dt), because those voltage physically...
1. Consider a series RLC circuit. The applied
voltage has a maximum value of 160 V and
oscillates at a frequency of 53 Hz. The circuit
contains a variable capacitor, a 760 Ω resistor,
and a 5.7 H inductor.
Determine the value of the capacitor such
that the voltage across the capacitor is...
Homework Statement
I'm trying to determine this insane circuit's |Z| so I can use an AC voltage to find the current as a function of time.
This is my circuit (the switch is closed, and ignore the values): http://i.imgur.com/mA55I.png
Homework Equations
Impedances for each of the RLC...
Hi!
Recently I did an experiment of an RLC circuit nearing resonance, and I found a substantial amount of loss of both current and voltage (30%). (More so than a different kind of AC circuit)
My question is, why is this so? Or is this just a coincidence/human error?
Some of...
Homework Statement
Consider an RLC circuit with very large Resistance.
a) when t = 0, q(0) = 0
b) When t = TL q(TL) = 2Q(1+e)-1cosh(TL/TC)
Where TL and TC are the inductive and capacitive time constants, respectively.
Show that the charge as a function of time is given by:
q(t) =...
Consider a series RLC circuit. The applied voltage has a maximum value of 120 V and oscillates at a frequency of 81 Hz. The circuit contains a variable capacitor, an 820 \Omega and a 3.7 H inductor. Determine the value of the capacitor such that the voltage across the capacitor is out of phase...
Homework Statement
At resonant frequency of 2,459 Hz for an RLC circuit, average power of circuit is 74 Watts when connected to a voltage source with a maximum voltage of 58 volts. If capacitance is 3 micro-Farads, what is maximum current, in amps, at 1,759 Hz? Answer is 2.14.Homework Equations...
Homework Statement
Calculate the impedance Zab across ab.
w=0.75 Hz
wo=1 Hz.
L=1 H
R=1 Ohm
C=1 F
Inductor and Capacitor are in series, and together are in parallel with the resistor.
circuit looks like a capital A, but square on top, and rotated 90 degrees clockwise.. if that...
I am trying to model an oscilloscope probe(active probe).
The voltage source in the circuit is from the device under measurement.
Let's say a 100MHz clock.
The probe signal and ground lead inductance are represented by 2 inductors, then a small series resistor. I made up the value of the...
Electrical oscillations are initiated in a series circuit containing a capacitance C, inductance L, and resistance R.
a) If
R << \sqrt{\frac{4L}{C}}
what time interval elapses before the amplitude of the current oscillation falls to 50.0% of its initial value?
b)Over what time interval does...
The energy of an RLC circuit decreases by 1.00% during each oscillation when R=2.00 ohms. If this resistance is removed, the resulting LC circuit oscillates at a frequency of 1.00 kHz. Find the values of inductance and capacitance.
What type of power rating does a wattmeter measure in an AC RLC circuit? Is the power measured the apparent power or active power, and is this reading the rms value?
Also which current value is taken by an ammeter in an AC rlc circuit? is this also rms value?
I have design this circuit from the book on the software "Electronic Work Bench" but see the 1st peak voltage in the attached image,
why it is in Giga Volts ?
the 1% of 1st peak voltage should be equal to the last peak voltage but this condition is not fulfilling here ...why ?
i have...
Homework Statement
I have some difficulties in parts 3 and 4 of the following problem:
(1) A sufficient time has elapsed after closing the switch S, and a steady state is established in the circuit with a constant current I0 flowing. Find the expression for I0.
(2) Then the switch S is...
Homework Statement
I have a series RLC circuit, no values given, connected to a voltage source Vs(t). I am asked to write the differential equations for:
a. that relates the inductor current iL(t) to the source voltage Vs(t).
b. that relates the capactor voltage Vc(t) to the source...
hey guys, i was just wondering, in a series RLC circuit, is "R" the Thevinin's equivalent resistance at the "Capacitor and Inductor" terminals?, if not please correct me. Thanks.
Homework Statement and Homework Equations
I am trying to get from:
I_{max}=\sqrt{2}I=\frac{V}{\sqrt{R^2+(\omega L-\frac{1}{\omega C})^2}}
to:
\Delta\omega=\omega_1-\omega_2=\frac{R}{L}
The Attempt at a Solution
From the equation above:
\sqrt{R^2+(\omega L-\frac{1}{\omega...
I need to find an expression for IL(t) i attached scans of what i have tried. I am not sure i did it right could you please take a look
see post # 2 for my attempt at solution
Homework Statement
The circuit below (please see attactment) shows an RLC filter circuit whereby RC = 1/2 and LC = 1/16. Determine the differential equation that describes the relationship beween the input voltage Vi(t) and output voltage Vo(t). If the initial conditions of the capacitor and...
Homework Statement
For a RLC circuit with RC = 1/2 and LC = 1/16 determine the differential equation that describes the relationship between the input and output voltages. An image of the circuit is shown with RLC all in series with the input voltage Vi(t) across all 3 components. The voltage...
Homework Statement
A series RLC circuit consists of a 100 ohm resistor, a 0.10 H inductor, and a 100 micro farad capacitor. It is attached to a 120 V/60 Hz power line. What is the peak current, I?
Homework Equations
I=V/Z
Z=sqrt(R^2+(omegaL - (omegaC)^-1))
omega=2pif
The Attempt...
Homework Statement
A resistor, R = 100 Ω, an inductor, L = 0.20 H and a capacitor, C = 3 µF are connected in series across an ac source of VS = 100 V and frequency, f = 200 Hz. Calculate the following for this series circuit:
in attempt at solution
Homework Equations
The Attempt...
the problem statement is attached.
i've begun by converting everything into phasor notation but I'm not quite sure where to go from here. when i try to add the C and the L phasors, i get zero. this doesn't seem right.
another problem is i have no idea what to do when i get the impedances of...
Homework Statement
A resistor, R = 100 Ω, an inductor, L = 0.20 H and a capacitor, C = 3 µF are connected in series across an ac source of VS = 100 V and frequency, f = 200 Hz. Calculate the following for this series circuit:
a) the total circuit impedance (Zt)
b) the total circuit current...
Homework Statement
A resistor, R = 100 Ω, an inductor, L = 0.20 H and a capacitor, C = 3 µF are connected in series across an ac source of VS = 100 V and frequency, f = 200 Hz. Calculate the following for this series circuit:
a) the total circuit impedance (Zt)
b) the total circuit current (IS)...
Homework Statement
Derive the second order differential equation relating x(t) and y(t).
Using the Laplace transform, find the total response as a function of the zero input response and the zero state response in the following form.Homework Equations
Y(s)=Yzs(s) + Yzi(s)
The Attempt at a...
Homework Statement
An alternating source drives a series RLC circuit with an emf amplitude of 6.0V, at a phase angle of +30deg. When the potential difference across the capacitor reaches its maximum positive value of +5.00V, what is the potential difference across the inductor?
Homework...
Homework Statement
A single loop circuit consists of a 7.2 ohm resistor, a 12.0 H inductor, and a 3.20*10^-6 F capacitor. Initially the Capacitor has a charge of 6.20*10^-6 C and the current is zero. Find the charge on the capacitor N complete cycles later for a) N=5, b) N=10, and c) N=100...
Homework Statement
4.) Determine the average power in an RLC circuit. Derive an expression for the resonance frequency in terms of L and C. Is the average power a maximum or a minimum at the resonance frequency?
Homework Equations
The Attempt at a Solution
I have circled in red...
Homework Statement
When the power factor of RLC circuit is equal to one, the frequency of the voltage source is 3 x 10^3 Hz. The rms value of the voltage source is 139 Volts and at a frequency of 3 x 10^3 Hz, the rms current in the circuit is 37.1 amps. If the inductive reactance at 3 x 10^3...
Homework Statement
Provided in the picture below.
Homework Equations
The Attempt at a Solution
So what I've done so far is use KVL to obtain Vc(t) +Vr(t) + Vo(t) = 1/2Vin(t).
Could someone tell me if I started this problem correctly? Would I just take the derivative of the...
Homework Statement
In an L-R-C series circuit, the rms voltage across the resistor is 32.0 , across the capacitor it is 90.1 and across the inductor it is 51.5 .
What is the rms voltage of the source?
Homework Equations
Well there are lots of equations V_rms =V/sqrt(2)
V_R=IR...
Homework Statement
[PLAIN]http://img255.imageshack.us/img255/3048/56893213.jpg
Find the voltage of the applied source.
Homework Equations
I=V/R
Kirchoff's Voltage LawThe Attempt at a Solution
Applying KVL.
V= 40 + 50 +20
=110
Is this question that simple?
Or am I missing something?
Homework Statement
When the power factor of RLC circuit is equal to one, the frequency of the voltage source is 3 x 10^3 Hz. The rms value of the voltage source is 139 Volts and at a frequency of 3 x 10^3 Hz, the rms current in the circuit is 37.1 amps. If the inductive reactance at 3 x 10^3...
Homework Statement
In an oscillating series RLC circuit, with a 8.77 Ω resistor and a 15.0 H inductor, find the time required for the maximum energy present in the capacitor during an oscillation to fall to 1/8 its initial value.
Homework Equations
I know that for an RLC Circuit...
Homework Statement
Plot |z| vs. f(Hz) of the circuit. R=100, C=600 pf = 6E-12 F, L=10E-6 H . All elements of the circuit are in parallel. Also identify the resonant frequency.
Homework Equations
ZR=R
ZL=jwL
ZC=1/(jwC)=-j/(wC)
w=2(pi)f
w0=1/sqrt(LC)
f0=1/(2(pi)sqrt(LC))
G=1/R...
Homework Statement
I am required to write KVL circuit equations for the following circuit
I don't need to finish solving for I1, I2, I3 and I4 at the moment. I just need a bit of help setting up the equations. Thanks.
Homework Equations
Kirchoff's Voltage Law, which states that...
Homework Statement
Find the frequency at which the circuit becomes purely resistive and calculate the effective resistance.
Here is the circuit with the given solution-
The trouble is, whilst the solution is simple enough, there are many places to go wrong, and the whole process is...
I want to know how to find the R thevenin of an RLC circuit. Do I short the inductor and open the capacitor? or do I remove both capacitor and inductors?
Homework Statement
For the following circuit:
where R1 = 100k\Omega, R2 = 10\Omega, L = 0,1Hy, C = 200\muF. V gives a constant tension of 1V. Find the current I as function of the frecuence, the condition of resonance, and the condition R1 and R2 must have so that the Q factor = 0,5...
Homework Statement
For this sample exam, we are given an RLC circuit, with an alternative emf of 1 V, connected all in series with a 500 ohm resistor, a .4 mH inductor, and two capacitors in parallel of 50 pF each.
It asks for the "maximum power dissipated by the resistance" and at what...
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...
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...
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...
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...
[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...
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...