Rlc Definition and 446 Threads

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...

Using the capacitor voltage \(v_c(t)\) and the inductor current \(i_L(t)\) as states, write the state equations for the RLC series circuit shown in the figure. We can write that \(e(t) = iR + \frac{di}{dt} + \frac{1}{C}\int i(t)dt\). I am not sure with what it wants when it says to write it...

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 An LRC series circuit with R = 200Ω , L = 31mH , and C = 1.8μF is powered by an ac voltage source of peak voltage V0 = 540V and frequency f = 550Hz. What are the peak voltages across the inductor, capacitor, and resistor and their phase angles relative to the source...

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 See image Homework Equations .5Li2 .5Cv2 The Attempt at a Solution How do I calculate the current for a circuit of this type? I am unable to find any examples in our text. Can I use the following formulas to solve for the current flowing through each component: I(r) =...

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?

Homework Statement Given a set of two capacitively coupled RLC circuits where each has a capacitor C and they share a coupling capacitor C^{'}. I'm trying to find nice organized material that will explain the various relevant coefficients\concepts like QF, bandwidth etc. in relation to the...

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...

Hi All, In doing some practice RLC series circuit question, I have been obtaining incorrect values for active and reactive power. The magnitudes I obtain are correct however the sign of the value is not. I have attributed this to obtaining an incorrect argument for the absolute power, or...

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...

in most of the books i have seen that while finding an impedance for an parallel RLC circuit first they find the individual admittance of each of the element the after summation of these they take reciprocal to find the impedance why is it done like that can't we find the impedance in a normal...

Homework Statement Find the input/output differential equation for the LRC circuit in the given figure. The figure is shown in the attachment. Homework Equations V(t) = Ri(t) For inductor, v(t) = Ldi(t)/dt I(t) = 1/L∫v(λ)dλ For capacitor, dv(t)/dt = i(t)/C v(t) = 1/C∫i(λ)dλ...

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 In the above diagram, iin(t) = -0.5u(-t) + 2u(t) A R = 2 Ω L = 1 H C = 8 mF Find the zero-input, zero-state, and complete responses of vC(t) and iL(t) for t > 0. Homework Equations σ = R/2L for series RLC circuits ωn = 1/(sqrt(LC)) for RLC circuits ωd =...

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...

Homework Statement The switch in the circuit in the figure has been open a long time before closing at t=0. Find iL(t) t>0 Express your answer in terms of t, where t is in milliseconds. https://www.flickr.com/photos/84781786@N03/8899251427/ The Attempt at a Solution We simplify...

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 For the circuit shown, what value of ZL results in maximum average power transfer to ZL? What is the maximum power in milliwatts?Homework Equations P max = (VTh)2/4RL Thevenin, Norton procedures, voltage division, current division, etc etc The Attempt at a Solution This...

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.

Hey. Say you have an RLC circuit with an AC supply. Then I=ei(ωt-α). My question is: will α always exist, ie will the current always be phase-shifted compared to the voltage, as long as the impedance has an imaginary component or if the circuit is not at resonance? Does Z = |Z|*eiα, where α =...

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 https://imageshack.us/scaled/large/708/capturehdx.png Homework Equations https://imageshack.us/scaled/large/845/capturevtq.png V = IR https://imageshack.us/scaled/large/18/captureid.png I_{C}(t) = C\frac{dV_{x}(t)}{dt}...

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 find iC(t) in the circuit and plot its waveform for t>=0. Homework Equations i(t)=i(infinity)+e^(-at)[D1cos(wdt)+D2sin(wdt) D1= i(0)-i(infinity) D2=i'(0)+a[i(0)-i(infinity)] aux.: w0=(LC)^(-1/2) wd=sqrt(W0^2 - a^2) s1= -a+sqrt(a^2 - w0^2) s2= -a-sqrt(a^2 - w0^2) The...

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...

Homework Statement This was a part question and I got everything else but one part (#4!): 1) A 60-Hz generator with an RMS potential of 240 V is connected in series with a 3350 Ohm resistor and a 1.5 microFarad capacitor. What is the RMS current in the circuit? IRMS = 6.34 * 10-2 A...

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...

Hi, I thought this would be a simple project but I have not been able to get this to work. I need to design a circuit that exhibits a resonance below 3kHz. It must be underdamped, and the drive current limited to ~5mA. I was usign this as an inductor...

Hi all. I am currently building a series RLC circuit as a magnetic field transmitter. Because I want to have a strong magnetic field, I need high voltage by making the circuit at resonance. Here are the parameter I used: L:1.15mH R: 50 (internal resistance from functional generator )+...

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}...

Homework Statement Sorry for the stupid question, but I want to be sure whether everything is correct. Here is the problem, I think I managed to do all the parts. 2. The attempt at a solution a)ω=2∏f; ω=4000∏ or 12566.37 rads b)Xl = ωL = 4000∏x0.004=50.27Ω c)I1=R x Vac I2=Xl x...