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.
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.
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...
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...
Homework Statement
In the circuit shown in Figure Q2(b), two loads A and B are connected to the source. The cable connecting the power supply to the load is modeled as series R and L of values R = 0.1Ω, L = 0.1 mH as shown in the figure.
The loads have the following specifications...
Homework Statement
In the Figure Q1 (c), the switch S was closed for very long time before it is opened at time t = 0. Find the value of vC(t) and iL(t) at t = 0+ c L i.e. immediately after the switch was opened.
Homework Equations
V = IR
The Attempt at a Solution
From DC steady state, we...
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...
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...
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...
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...
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...
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...
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.
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...
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...
Homework Statement
This is just an example from the book.
See images.
I am not sure how they found v(cap) to be equal to 97.3 V.
Homework Equations
Nodal Analysis
The Attempt at a Solution
3 A - i(ind)/48 - i(res)/100 = v(cap)
Too many unknowns, that's why I think I'm way...
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...
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 =...
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...
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) =...
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 \(2\int i(t)dt\)?
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?
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...
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...
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...
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)...
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...
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...
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...
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...
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...
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...
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...
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?
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...
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...
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 +...
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.
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...
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...
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...
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
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...
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)??
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...
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...
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}...
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...
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...