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...
Homework Statement
I'm decent with differential equations for RLC circuits, and I KNOW the stationary current will be zero, but I need help to work it out mathematically, because my maths gets me -2.4A (...)
L: 0.05H
C: 0.04F
R: 3 Ω
U (source) = 1 V
I've got the transient solution: c1e-10t +...
I'm currently wanting to model an RLC circuit that is driven by a toroid transformer with a driving current, I(t). See image below.
In physics class, I've done similar problems with 'ideal' toroids and a simple R circuit. What I'm struggling with is how to model a 'real' toroid...
So I'm trying to get my head around RLC circuits and what is happening
say we have a 10 ohm resistor, 1000uf capacitor and a 10H inductor in a circuit powered by a 10 volt source.
Is the resulting oscillation of the sine wave frequency the result of the inductor resisting the flow of...
Homework Statement
I noticed that bandwidth is the difference between the frequencies that gives half power:
But sometimes it is the difference between when the frequency is 0 and the frequency that gives half power:
So the definition in my lecture slides states that bandwidth is the...
Hello. I'm having a hard time solving this homework question, even though I know I shouldn't... but well.
Here's the problem :
-The K switch is closed for a long time, so as to be in a steady state.
What's the electric charge of the capacitor ? Infer vs tension from this.
Which...
Homework Statement
A 4 Ω resistor, 14 mH inductor, and 99 µF
capacitor are connected in series to a 65 V
(rms) source having variable frequency.
Find the heat dissipated in the circuit during one period if the operating frequency is
twice the resonance frequency.
Answer in units of J...
1. An RLC series circuit has C= 4.8mF, L=0.520H, and source voltage amplitude V= 56.0V. The source is operated at the resonance frequency of the circuit. If the voltage across the capacitor has amplitude 80.0V, what is the vaule of R for the resistor?
2. ##I = (ΔVc)/(Xc)##,
##Xc=...
http://imgur.com/6aAMV
So I need to find the current labeled as a function of time. THe switch opens at t=0 and I drew the circuit after the switch opens.
I found the initial current to be -4 and the voltage on the capacitor to be 8.
I'm having trouble trying to find di_L(0)/dt. I...
Homework Statement
Find an equation for the resonance frequency. Then find R L and C given that the resonance freq is 10 Hz.
Homework Equations
Wrote below
The Attempt at a Solution
y(jw) = (1 / R + jwl) + jwC is the basic equation.. after simplifying and setting imaginary part to...
Homework Statement
See Attached
Homework Equations
The Attempt at a Solution
I used the Pythagorean theorem Vs= the square root of Rv squared plus (Lv-Lc) squared and came up with a voltage source of 100 volts AC. Right??
So how do I figure the voltage between A,C and B,D? I...
Homework Statement
I've recently completed a experiment involving a Driven series RLC circuit. The potential difference across R " a variable resistor >> internal resistance of inductor" was measured.
When calculating the current from the PD across R, should I include the internal resistance...
Hi all,
I am tring to design an RLC circuit with a low (<3Khz) resonance out of RLC circuit elements. The circuit must be underdamped. The lower the damping the better.
Originally I planned (and built) a RLC circuit with R=.1, C=100uF, L=100uH. On paper this gives a resonance at 1590...
Homework Statement
There are two circuits I don't entirely understand. I am also new to calculations with complex numbers and when to and when not to use them, so be easy on me. Anyways, the point is to find out what the different meters are showing, when you are given the initial voltage and...
Homework Statement
Inductor, resistor and a capacitor is connected to a DC source in series.
DC source is 220 V
Capacitance is 10F
Inductance 5H
Resistor 22 ohm
Vc(0) = 50V
Question is asking for the charge time of the capacitor, when it gets charged fully and then it starts to act...
maple issue -- inverse laplace transform equation from a basic series RLC circuit
Pretty simple for some of you I know, but I have a laplace transform equation from a basic series RLC circuit
((sV-v(0))/L+si(0))/(s^2+sR/L+1/LC) = I(s)
I want to take the inverse laplace of it, I am given all...
Homework Statement
Assume the current in a series RLC circuit is given by I = ACω(sin(ωt) + \frac{α}{ω}cos(ωt))e^{-αt}.
Calculate the energy stored in the circuit at t=0. Then calculate the energy stored in the circuit one-quarter cycle later, at t=\frac{\pi}{2ω}.
Verfiy that the...
This is my first time posting so forgive me if I screw it up. I have attempted to attach the file, I hope I have done so correctly.
I am trying to solve a series-parallel RLC circuit problem. I have a 220Ω resistor in series with 180Ω resistor, a 1mH inductor and a .47μF capacitor all in...
Homework Statement
Find VL(t) and Vc(t) in the circuit below
Where Vs = cos(200\pit) V
Homework Equations
\alpha = \frac{1}{2RC}
ω0 = \frac{1}{\sqrt{LC}}
\omega0 = \sqrt{\omega^{2}-\alpha^{2}}
The Attempt at a Solution
Well, I found the total capacitance
C = 1.5 uF
Then, I found \alpha...
Homework Statement
http://tinypic.com/view.php?pic=doxum1&s=6
Consider a casual LTI system implemented as the RLC circuit above. x(t) is the input. And y(t) is the output across the capacitor.
a) Find the differential equation relating x(t) and y(t)
b) Determine the frequency response of...
Hello everyone,now i still working my final project for a graduation..
and i must measuring my tools using RLC meter, but when i measure,my RLC meter showing a negative symbols (-) for the value of capacitance.. and when i check the manual book,there is'nt an explanation about it..
did...
Homework Statement
Write the current I(ω) for the RLC circuit above
Homework Equations
I = V/Z
The Attempt at a Solution
I believe Z should be Z = ( 1/R + 1/XL + 1/XC)-1
which would give Z = ( 1/R + 1/(ωL) + ωC )-1
and I is simply emf / Z
but I don't think you can...
Hey everyone.
Since it is nearest the end of the summer semester for the Lab component of my classes, Our professor is having do the 'Black Box' project. From the information he gave us, there are three component in a L-configuration, an inductor, capacitor, and a resistor. The Box itself had...
Hi Everyone.
I have been looking at this questions for a while now and have just hit a brick wall.
I have found the source impedances using the the following
Z of Current source = 1KΩ - jXC
=1000 - j4000Ω = 4123<-75.96°
Z of Voltage source = 4KΩ + jXL
= 4000 + j1000Ω =...
Hey.
If a a circuit is too inductive, and has a power factor of 0.6, how would i find a capacitor in series or parallel that would give a power factor of 0.8?
I think that i could do it with 3 equations and 3 unkowns like this:
1: Q=XL*I^2
Z=X*I^2
2: tan(P/Q)=\varphi
tan(P/Z)=Y
3...
Homework Statement
http://img69.imageshack.us/img69/1123/85049619.jpg
Got a nasty surprise after finishing the problem and looking at the solutions to see the resistor disappearing at tax time.
I can't figure out how the resistor disappears, I can only think the people who solved...
Homework Statement
An RLC circuit has L = 20mH, R = 20kΩ, C = 250μF.
1) Calculate the resonance frequency for this circuit.
2) For a frequency ω=400 rad/s, determine the phase angle and the circuit impedance.
3) Using ε = 30[V]sin(ωt), calculate the current in the circuit. This will be a...
Homework Statement
pic: www(dot)freeimagehosting.net/hbnem
Calculate impedance , current and power factor
Homework Equations
The Attempt at a Solution
pic: www(dot)freeimagehosting.net/xmy2b
First we solve parallel part. In parallel resistor and inductor are sharing voltage...
Homework Statement
An RLC circuit has a resistance of 105 ohms, an inductance of 85.0 mH, and a capacitance of 13.2 μF. What is the power factor for this circuit when it is connected to a 125-HZ ac generator?
Homework Equations
Well I'm not completely sure which equations to use, so here's some...
Homework Statement
Hello again!
We have been given a couple of more advanced problems where the components are placed in series parallely.
Check the image, the question is regarding what equation to use, in order to calculate the total impedance of the circuit.
Homework Equations
I...
Homework Statement
A parallel RLC circuit with every component in parallel.
The resistance is 120 Ohm, the reactanse over the capacitor is 150 Ohm and the reactanse over the inductor is 70 Ohm. The total current is equal to 100mA.
Calculate the current passing through the inductance...
So I know that the equation for the natural frequency of an RLC circuit is:
ω0=(LC)-1/2
I'm just wondering how this would change for a circuit with more than one inductor or capacitor. Say for instance an inductor in parallel with a capacitor, both connected in series to another inductor...
So I know that the equation for the natural frequency of an RLC circuit is:
ω0=(LC)-1/2
I'm just wondering how this would change for a circuit with more than one inductor or capacitor. Say for instance an inductor in parallel with a capacitor, both connected in series to another inductor...
A series RLC circuit connected to a 100-V 60-Hz source draws a current of 2.5 A. The
measured power factor for the circuit is 0.7 leading, and the inductive reactive power is
300VAr. Calculate the resistance, inductance and capacitance of the circuit and show the
corresponding impedance...
Hello I am trying to understand how exactly an oscillator circuit work and how to build one.
So I was palying around in falstad and made this:
the following is link. tried to get around spam filter so.. write without spaces
h t t p s : / / w w w . f a l s t a d . c o m / c i r c u i t /...
Homework Statement
Find the voltage across the resistor.
Homework Equations
V = L*di/dt
I = C*dv/dt
The Attempt at a Solution
I'm not too worried about the differential equation part but I need some help setting up the circuit for me to start the process.
Since the current through the...
Homework Statement
Still can't figure this one out.
All data is on the picture attached.
I have to find the current flowing through E1 after E2 is connected and draw a graph as it changes in time of the process.
I can't do the equations when t=0
Homework Equations
dUc/dt|t=0...
Homework Statement
Consider a simple RLC circuit. If R >> (4L)/C , compute approximately how long it takes for the circuit to lose half of the initial energy stored in the system.
(There is no circuit drawing given; the problem assumes a general RLC circuit)
Homework Equations
The...
Homework Statement
In the AC circuit shown, the potential difference across the capacitor and the resistor, V(BD), is 24 V(rms). Similarly, the potential difference across the inductor and the resistor, V(AC) is 24 V(rms). What is the frequency of the source...
Homework Statement
An AC current source, 1 ∠0° A, with angular frequency 1 rad/s is to be applied to the input
terminals of the circuit. Circuit is RLC, the current source is in parallel with a 1F capacitor which is in parallel with a 1H inductor which is in series with a 1Ω resistor. I...
Homework Statement
Determine the resonant frequency of the circuit in Fig 14.28 (See attached)
Homework Equations
\begin{array}{l}
{\rm{How is }} \to {\omega _0}0.1 - \frac{{2{\omega _0}}}{{4 + 4\omega _0^2}} \\
{\rm{derived from }} \to j{\omega _0}0.1 + \frac{{2 - j{\omega...
Homework Statement
RLC circuit as shown in the attachment. Input is a pulse, of frequency 1MHz, 5v. Rise/fall time 1ns.
How to find the voltage at the capacitor.
In simulation, I see overshoot and undershoot. But how do I find the overshoot/undershoot amplitude mathematically?
Ringing...
Homework Statement
Find current flowing through E1 ( find I1).
Homework Equations
I see 6 currents, atleast until the capacitor is charged, what i find confusing are the branches without any resistance and they seem to mess up my equations.
The Attempt at a Solution
1st kirchhoff's law...
(I hope I have posted this in the appropriate forum. I have consulted the posting guidelines and this seems to be OK. The subject of my post certainly isn’t homework or academic coursework, rather it is self-study for its own sake. If this is the wrong place – apologies, and maybe an admin could...
Homework Statement
I attached a picture of a sample problem that I was confused about. What I don't understand is why the V2 voltmeter would read 0 volts (according to the answer key). This is because I thought that an inductor produces an induced emf and current. So wouldn't the voltmeter...
Homework Statement
Hi
Can a kind person please check my solution? This is the question: Demonstrate the total current in an RLC parallel circuit using the following circuit. I can't draw it but the inductive reactance is 20ohms, capacitive reactance is 5ohms and resistor of 10ohms. All are in...
Homework Statement
For a driven RLC circuit, compare the power delivered by the source to the power dissipated as heat in the resistor.
Homework Equations
P_{avg} = I_{rms}*V_{rms}*cos(\phi)
The Attempt at a Solution
My thinking was that the power dissipated in the resistor would...