Lcr circuit Definition and 22 Threads

So we learnt about the different types of circuits and their behaviour when connected to an alternating current source. (DC was treated as an AC with 0 frequency and/or infinte time period). For purely inductive and purely capacitive circuits we were shown the derivation and why things are the...

Summary:: I say the answer is A because these are reactive components that take and give back energy from the circuit so no voltage drop across the 2- L & C. Please let me know yours thoughts- thanks Hello I am a newby to electronics taking a class. Please review my thinking on this problem. I...

I know the current of capacitor and inductor must be parallel but pointing in opposite direction due to the fact they are connected in parallel thus having same voltage (please see attached screenshots). The current of resistor will simply be the sum of these two vectors, but what about its...

Homework Statement For a series LCR circuit,the voltage across the resistance,capacitance and inductance is 10V each.If the capacitance is short circuited,the voltage across the inductance will be (a)10V (b)10/√2V (c) 10/3v (d)20V Homework Equations Potential difference across...

Homework Statement Homework EquationsThe Attempt at a Solution LCR circuit, calculating R when frequency width is given Applying Kirchoff Voltage Loop Law, ## V_A – V_B + V_B - V_C + V_C – V_A = 0 ## ...(2) ## V_A – V_B ## is potential drop across inductor. Since current is flowing...

Homework Statement a. express the equation of motion b derive impedance at the resonant frequency (ω=ωo) c derive impedance at very high frequencies (ω>>ωo and ω>>R/L) Homework Equations Vo=ψ+(R/L)ψ+(1/LC)ψ Z=(1/iω)K(ω) K=1/((s-mω2)+ibω) The Attempt at a Solution Part a was simple, that was...

Homework Statement One type of tuning circuit used in radio receivers is a series LCR circuit. You like listening to a station1 that transmits 99.3 MHz in . The government wants to make 100.1 MHz available to station2. Assume that the transmitters of the two stations are equally powerful and...

If we have a variable frequency AC supply in LCR circuit and when the frequency equals natural frequency the impedence is equal to resistance and the power consumption is purely that of resistive load circuit. Is this true even for other frequencies i.e. do reactance participates in power...

Homework Statement Homework EquationsThe Attempt at a Solution For part (a) i did the following; the time for it to decay to 40% is half the period of the square wave = 0.00002 seconds So, 0.4qm = qm ## e^(\frac{-0.00002R}{2L})cos(25000*2*\pi*0.00002) ## But the cosine term yields -1 which...

Homework Statement Find the differential equation that Q(t) satisfies. 2. Relevent equations Kirchoffs loop law and voltage across a capacitor, resistor and inductor. The Attempt at a Solution [/B] So I'm thinking, by Kirchoffs voltage rule, that the sum of the voltages in this circuit...

Hi all, I in my text they first did a phasor-diagram solution to a series LCR circuit and brought Z= under root of (R^2 +(Xc^2-XL^2)). After this they use a differential equation for series LCR circuit and actually did not solve such hard two degree differential equation, rather they...

Homework Statement I have the LCR circuit attached below. At time t=0 the capacitor is uncharged and the switch is closed. By solving an appropriate differential equation, show that the current through the resistor is oscillatory provided L<4CR2. By considering the boundary conditions at...

Given a series LCR circuit with a driving voltage V=V0cos(ωt), would it be possible to obtain a solution for I(t) by the two methods listed below? 1. Summing the voltages, i.e LdI/dt+IR+Q/C=V0cos(ωt) and solving the DE. 2. Using I=V/Z where Z is the total complex impedance and solving for I in...

I wasn't exactly paying much attention during our lab, partially because it was right in the middle of midterms and I wanted to solely focus on those. Now it is coming back to bite me as I am not entirely sure how to complete my lab report, or the theory behind the lab really. If you would like...

Homework Statement My tutor's notes say that quality factor is supposed to be = 2π (Max. energy stored)/(energy dissipated in one cycle) . So for a standard series LCR circuit, he says: max energy = 0.5 L I2 energy lost per cycle = 0.5 R I2 2π/ω . ..and at resonance he calculates it to be...

A switch is closed in a voltage driven series LCR circuit. Will the initial current (j(0)) be 0, regardless of the type of voltage source? Will j'(0) = V(0)/L, where V(t) is the source voltage? Feedback much appreciated.

Homework Statement Im doing a lab experiment on LCR circuits and have gotten a graph of 1/capacatance against frequency^2. With my results I got the slope to be 0.89±0.01 and the intercept is 358708±43189 Homework Equations the equation that was given was frequency^2=(1/4*pi*L)[(1/C) -...

Homework Statement Consider a series LCR circuit with R= 69.0 Ω and L= 0.100 H, driven by a sinusoidal emf with Erms= 6.70 V at frequency f= 250 Hz. The sinusoidal current leads the emf by 54.0 degrees. a) Calculate the capacitance C. b) What is the rms current in the circuit? c) If...

Homework Statement There is a circuit, with the L and R in parallel and then there is a capacitor as well. There is a switch and a battery source. The E = 12 V and R is 1.37ohms. The switch is closed and the capacitor is uncharged and all currents are 0 Homework Equations That's what...

the solution for current I, for series LCR circuit is I = (E/Z)sin(wt+\phi) Where Z = \sqrt{R^2 + (X_{L}-X_{C})^{2}} So for Resonance (i.e. maximum Current Amplitude) of LCR Circuit the necessary condition seems to be X_{L}=X_{C} Which gives \omega=1/\sqrt{LC} But some text-books and wikipaedia...

Hey guys First off id like to say this is an awesome forum from what I've seen, and has since been bookmarked at the top of my list as i am an avid physics enthusiast (but **** at spelling :) ) Ok, to the nitty gritty. I have the following circuit (attached) Now, there are two questions...

Hello everyone! I've been trying to derive the expression w = sqrt( (1/(LC)) - (R_l^2 / L^2) ) where w is the resonace frequency, L is the inductance of the inductor, R_l is the resistance in the inductor, R is the resistance of the resistor and C is the capacitance of the capacitator...