Rlc circuit Definition and 302 Threads

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...

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 +...

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...

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...

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...

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...

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...

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...

Is this a faulty question? I don't believe that there is one value of L that would make the circuit overdamped.

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 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...

Homework Statement The switch at S is closed at time t=0 and a constant ... va−vh=v0 is applied. Use Kirchoff's laws to write 3 equations for i,i1,i2, and q(t). What is the relation between q(t) and i,i1,i2? Given that the charge on C and all currents are initially zero, find an ODE for i1(t)...

Homework Statement Hello all, Representing RLC circuits via differential equations is rather new to me, in fact differentials as an entirety are new for me. Essentially I am looking for clarification regarding this type of question and whether or not I am doing it right. Thanks in advance...

Hi, I need to write a c++ program that calculates the total impedance of a simple RLC circuit. I'm given the values of each component (resistance, coil, condenser). The programming part is not a issue however I can't find the formulas for the impedance on the internet. Can someone help me out...

hi i have a textbooks that says that if you have a driven RLC at its resonance frequency and now you increase the inductance, then you would measure a phase difference between the external emf and the voltage at the capacitor that is now greater than pi/2 unfortunately, i do not know how to...

I am having difficulties with phasor diagram for Is and Vs of an parallel RLC circuit. I have calculated all values but not sure how to use phasors. Impedance Z has angle +65°. Current Isupply +30° and Vsupply is Z*Is= Vs at angle 95° But with parrallel network V is the reference so I guess it...

Homework Statement Please check picture http://i.imgur.com/YMQBR.png Homework Equations The Attempt at a Solution Shouldn't all the energy be 0 at beginning? Thanks!

Hi there, we recently completed a laboratory session on MATLAB relating to an RLC Circuit and arrive at a code and relevant inputs and got our graphs as shown below. I was just wondering if anyone know if these are correct and make any sense? Or any other comments appreciated. We also have...

Quick Question... Given: Can I still use the general impedance equation for parallel RLC circuits even though the resistors are not in parallel with the other components? Substituting the two resistors for a single resistor with the equivalency resistance?

Homework Statement For RLC circuit determine and solve differential equation. R, L, C, E0 values are constants, E = E(t) = E0*sin(ω*t) (E is marked as V in the image). Then make program which calculates values of I(t) when R, L, C, E0, ω are given. In short, I need to get function I(t), so I...

how to get this equation: Vout/Vin = [RL]/[-[ω][/2]+jω(R/L)+1/(LC)]

Edited for assignment purposes...

Homework Statement Given a series RLC circuit with a sinusoidal voltage input, find the effective voltage across each element. Given: 1) If the effective value of the source voltage is 1 V, the effective value of the current is 1 amp. 2) i(t) lags v(t) by 45 degrees 3) L=1H 4) w=2...

Homework Statement Hey guys. So we've been working on a RLC circuit, where the subject is oscillations. We accomplished to work out a differential equation, for this specific circuit, however solving it is a completely other part of the problem. We're completely stuck here and hopefully...

I'm looking at this question and I can't seem to come up with an answer, don't the VL (inductive voltage) and Vc (capacitor voltage) just cancel each other out leaving you with Vr (resistance voltage) as the source voltage, but I don't see why VL and Vc are much higher than the source voltage...

Homework Statement Consider a RLC circuit. a) Suppose the parameters are chosen to give critical damping. The capacitor is charged to a voltage of V₀ and at time equal to zero the switch is closed. Find the time at which the magnitude of the current reaches a max, and find the value of the...