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.
Homework Statement
^^I'm sort of lost as to how to approach this question. Should i just find the voltage at node A? Then at B? But what confuses me the most are these time values we need to take into account.
So what would be the best way to approach this question?
Thanks.
hi, i wanted a simple explanation of a series rlc circuit in a radio
as i know the rlc circuit consists of resistor,inductor,capacitor
i know the function of each of them but what i don't understand is how by combinig them we can make a radio tuner!?
i searched many websites but i can't find a...
hello!
I was in the lab doing the experiment of resonance frequency by plotting the graph of current vs frequency for a parallel RLC circuit. In this experiment i have also to find the Q factor and the bandwidth. The resonance frequency corresponds to the frequency with minimum intensity. Now...
Homework Statement
Find the voltage across each component is an overdamped RLC circuit. The circuit is powered by a square wave of peak voltage 2 V. The square wave is used to model a DC source.
Homework Equations
Vs(0)=-2 (Everywhere else in the transient response, Vs=2)...
Homework Statement
Analyze a series RLC circuit and determine the voltage across each element due to the transient response. The circuit is powered by a square wave voltage source with a peak-to-peak voltage of 4V and frequency of 1kHz.
R=50 kohms
L=33mH
C=1 nF
Homework Equations...
1. (See attachment) Q1 a, Determine I1,I2and I3 after 5 time constants
b, when the switch is first closed ie t=0
c,when the switch re opens
2. I total=I1-(i1+I2)
i=I[1-e --RL/L
3. i havnt practiced any circuits with resitance in series and parallel just looking for a way...
Homework Statement
How do one calculate the power in time of RLC circuit in parallel combination running an AC current ? It has to be in terms of frequency (\omega = 2 \pi f )
Homework Equations
\omega = 1/ \sqrt{LC}
The Attempt at a Solution
I started off with the omega but...
Homework Statement
The Attempt at a Solution
Ok, first part, no problem, second part (steady state), solved in another thread. Both are pretty tedious, but doable.
However, I am quite stumped by the third part of this problem (V = V_o sin wt) .
The second part of the problem...
Homework Statement
A 10 μF capacitor and a 25 H inductor are connected in series with a 60 Hz source whose rms output is 112 V.
Find the voltage drop across the inductor. Answer in units of V.
Note: Sigfigs do not matter
Homework Equations
I = V/Z where Z is the impedence
XL =...
Using the following o.d.e
L\frac{d^2i}{dt^2}+R\frac{di}{dt}+\frac{1}{C}i=\frac{d}{dt}E(t)
The following problem has several parts all of which I have solved except for the one below.
L=1/20
R=5
C=4.10^{-4}
\frac{dE}{dt}=200\cos100t
Where L is an inductance in henries, R is a...
Second Order RLC CIrcuit?
Homework Statement
for this figure, vin(t) = -250u(-t) + 750U(t) mV, R = 0.5 ohms, L = 1 H, C = 0.01 F.
Find zero-input, zero state, and complete response of both Vc(t) and IL(t) for t>0.
Homework Equations
?
The Attempt at a Solution
I found the iL...
Homework Statement
An L-R-C series circuit is constructed using a 175{ \Omega} resistor, a 12.5 muF capacitor, and an 8.00-mH inductor, all connected across an ac source having a variable frequency and a voltage amplitude of 25.0 V.
At the angular frequency in part A, find the potential...
Homework Statement
There is no real problem, so I'll just make up a arbitrary one. A series RLC circuit with a voltage source x(t), but say there is a resistor in parallel with the capacitor, followed by an inductor in parallel with that resistor. Just assume all the values of the inductors...
i m trying to design RLC series circuit on Pspice and parctically showing Under , Over and , Critical response
i have capacitor of 1uF an inductor of 150uH and resistor ( can choose any) but for these responses 10,40,20 ohms respectivly but the graph is not coming as it should be like it is...
This is more of a math question but i feel like i will get more help among Electrical Engineers.
I successfully found the step response of an RC circuit in the time domain using Laplace Transforms.
But i can't seem to figure out how to do it with an RLC transfer function.
I have the following...
Homework Statement
A RLC circuit has a resonance frequency of 6 KHz. When it is driven by a 8 KHz ac generator, it has an impedance of 1 k W. What are R, L and C in the circuit?
Homework Equations
The Attempt at a Solution
the equation for the resonant frequency will be...
Homework Statement
An alternating source drives a series RLC circuit with an emf amplitude of 6.00 V, at a phase angle of +30.0 degrees. When the potential difference across the capacitor reaches its maximum positive value of +5.00 V, what is the potential difference across the inductor...
Homework Statement
The figure below shows the time variation of the current through an electrical heater when it is plugged into a 240 V, 50 Hz outlet.
1) What is the peak voltage?
2) What is the rms value of the current drawn by the heater?
3) What is the resistance of the heater...
Hey all, I'm a new member, so nice to meet you all!
Homework Statement
I'm currently in the process for deriving the Transfer Function H(s) and H(jw) (w read as omega for angular frequency) for http://www.ebfreedom.com/fwajx/cDiag.jpg"
I have taken several approaches but have not been...
Homework Statement
It is in the attachment.
NOTE: I supposed I did a little mistake when I drew the circuit with PSpice. The closed switch should look like .---->. instead of having that 45 angle. I don't know if it matters or not, so yea..
Homework Equations
Rp = (R1 * R2)/ (R1 +...
Homework Statement
A 5 Micro-F Capacitor, a 65mH Inductor, and a 10 Ohm resistor are connected in series
Find the resonant frequency of this circuit.
Determine the peak current at resonance, if the peak voltage is 100V
Homework Equations
Fr = (1/2Pi) Square Root(1/LC)
I don't know...
Homework Statement
A 21.0 \mu F capacitor is charged by a 160.0-{\rm V} power supply, then disconnected from the power and connected in series with a 0.220-{\rm mH} inductor.
Calculate the energy stored in the capacitor at time t = 0{\rm{ ms}} (the moment of connection with the inductor)...
Homework Statement
Purcell 8.4: In the resonant circuit of the figure(I'll reproduce the image below) the dissipative element is a resistor R' connected in parallel, rather than in series, with the LC combination. Work out the equation analogous to Eq 2. (d^2V/dt^2 + (R/L)(dV/dt) + (1/LC)V = 0...
Homework Statement
I'm having some problems solving this RLC circuit, if anyone could help.
R = 2 ohms
C = 2/3 F
L = 1/2 H
The top picture is when t < 0
The bottom picture is when t > 0
Find v_o(t) (notice V_0 is the defined +- voltage over the resistor)...
[SOLVED] Overdamped RLC circuit
Homework Statement
In a parallel RLC circuit determine i_R(t).
R = 20 mohms
L = 2mH
C = 50 mF
v(0+) = 0 (capacitor)
i(0-) = 2mA (inductor)My question is what is i_R(0^+)? According to my final answer, it should be 0. However, went I graph it with PSPICE, it...
RLC Circuit problem. Please Help!
Homework Statement
In the figure, what is the current supplied by the emf when the frequency is very small?
What is the current supplied by the emf when the frequency is very large?
Homework EquationsI am not sure but:
wo=1/sqrt(LC)
Vr=IR
Vl=IXl
Vc=IXc
Homework Statement
In the circuit below, find the resonant frequency (\omega_0) and Z_{IN}\left(\omega_0\right).
http://img143.imageshack.us/img143/9845/problem1444dx4.jpg
Homework Equations
\omega_0\,=\,\frac{1}{\sqrt{LC}}
The Attempt at a Solution
The resonant frequency is easy to find...
I need some help deriving the quality factor in an rcl circuit
Q=Lw(sub 0)/R. So far I know that Q=w(sub 0)/delta but my professor used this formula to continue the derivation delta w=R/L and I don't know where it comes from. Can anyone give me a hint?
Hi everyone,
Srry to post a different homework question in your thread here, but tried to start a new topic/thread but for some reason, the system is not letting me.
Here is my question:
It's the last m/c question out of 30 that I am doing tonight, and I'm having a bit of trouble...
I've been working on this problem to review (see the attachments), and my circuit analysis skills are quite rusty. I've determined that the circuit should be underdamped, and it will have a step response. Based on this, I'm using the equation V0(t)=Vf+B1e^(αt)cos(ωdt)+B2e^(ω0t)sin(ωdt). As you...
I have an RLC Circuit. I've changed the resistors 3 times to give me a case of overdamping, underdamping, and critical damping. In taking my data (this was a long long time ago) I apparently missed taking measurements of current. I'm trying to solve the three differential equations to make a...
I have an RLC Circuit. I've changed the resistors 3 times to give me a case of overdamping, underdamping, and critical damping. In taking my data (this was a long long time ago) I apparently missed taking measurements of current. I'm trying to solve the three differential equations to make a...
Please help me to solve this RLC circuit problem. I am completely confused.If you give me the direct answer it would be much appreciated.
For the series RLC circuit in Figure, find the input/output
difference equation for
1. y(t)=v_{R}
2. Y(t)=i(t)
3. y(t)=v_{L}
4. y(t)=v_{C}
I...
Hello, I've been reviewing some material from my undergraduate studies. In the book "Signals and Systems" by Haykin in the first chapter he gives an example of a voltage source with the value of Vo*delta(t) applied to a series RLC circuit.
Vo is some arbitrary constant and delta(t) is the...
I have been having a difficult time understanding how to determine the input/output difference equations of a circuit. I believe I am good on series circuits but would like some feedback on Series/parallel determinations. Please look at included file and see if I am on the correct path.
Question:
A parallel RLC circuit, which is driven by a variable frequency 10-A source, has the following parameters:
R=500\Omega
L=0.5mH
C=20\muF
Find the resonant frequency, the Q , the average power dissipated at resonant frequency, the BW , and the average power dissipated at the...
When a non-driven RLC circuit discharges you have several possibilities: underdamped, critical & overdamped. The general solution of the differential equation is Q(t) = A*exp(L1*t)+B*exp(L2*t) with L1 and L2 roots of the characteristic polynom being (-R+sqrt(R^2-4*L/C))/(2*L) and...
i have a question where
s1,2=(-4 (+-) j3) 10^3
are roots of a second order D.E of a series RLC ckt
where s1,2=(-z (+-) (z^2 -1)
(z is zeta)
now from
s1,2=(-4 (+-) j3) 10^3 ,its showing roots of underdamped ckt(complex nd conjugate)
but when i solve eq. z gives 2 values(but z must be...
Hi,
How can you prove that, in a damped RLC circuit, the logarithmic decrement equals the period times the damping factor:
\delta=T\zeta
(I'm using \delta=\ln\frac{x(t_n)}{x(t_n+T)}\quad
\zeta=\frac{R}{2L}
)
Thanks in advance!
HI,
I don't really get this problem. Can I have some suggestion please?
The 3-mF capacitor of an RLC circuit is initially charged to 30 micronC.
The 1.5-mH inductor has a very small resistance.At particular instant, after 100 oscillations, the current through the inductor is zero while the...
Hello,
I've got to prepare for a practical session and need some help with a problem: how (by what experiments) can you prove that the damping of a series RLC circuit depends on the value of the resistance (without basing oneself on any knowledge of the damping factor \zeta=\frac{R}{2L})...
Hey,
I have a problem with an RLC circuit. It consists of a resistor in series, followed by another resistor, capacitor, and inducer, all in parallel.
The question is asking for what frequency (its an AC circuit), is the current through the inducer the same as the resistor (the one in...
Alright, here I come again for help!
In a series R, L, C circuit, the values of the passive elements are R=5ohm, L=1H, and C=10uF. The output voltage is taken across R, and te input voltage signal is of variable frequency. Using Electronics Workbench, obtain a plot of V0(t) as a frequency f...
1.
A RLC circuit is used in a radio to tune into an FM broadcasting station at 99.7 Mhz. The resistance in the circuit is 12.0 ohm, and the inductance is 1.40 uH (micro Henry) what capacitance should be used?
this question is tricky what i tried to do is used XC=1/wC where C is capacitance...
physics problems concerninginductance and rlc circuit
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1. "The resistance of a superconductor." In an experiment carried out by S. C. Collins between 1955 and 1958, a current was maintained in a...
Hey
im in first year electronics and have a problem with a parallel rlc circuit
im trying to find the reactance (Xc and Xl) for a circuit that has a 500 ohm resister and a .01 microfarad capacitor in parallel with a 500 ohm resistor and a .5 mH inductor. The frequency of the circuit is 50...
Hey
im in first year electronics and have a problem with a parallel rlc circuit
im trying to find the reactance (Xc and Xl) for a circuit that has a 500 ohm resister and a .01 microfarad capacitor in parallel with a 500 ohm resistor and a .5 mH inductor. The frequency of the circuit is 50...
We were given a question to produce a RC circuit. I can do those just fine. Now we don't have to actually produce a RLC circuit. My professor asked us this question "What is the analogous problem when we take instead of capacitors either resistors or inductor? Describe in words the changes in...
Ok, I am having a problem with a RLC circuit and my teacher was unable to offer a satisfactory explanation. Hope that you'll help.
Consider a DC battery, a switch, a resistor, a capacitor and an inductor in series. Before t=0 the switch is open and assume that the circuit has achieved steady...