Hello All,
I have a bit of a problem with a series RLC circuit with no supply voltage. In the process of actually solving the second order differential equation for the voltage across the capacitor I have lost a handle on what it actually represents in terms of the circuit.
I have attached...
What type of power rating does a wattmeter measure in an AC RLC circuit? Is the power measured the apparent power or active power, and is this reading the rms value?
Also which current value is taken by an ammeter in an AC rlc circuit? is this also rms value?
I have design this circuit from the book on the software "Electronic Work Bench" but see the 1st peak voltage in the attached image,
why it is in Giga Volts ?
the 1% of 1st peak voltage should be equal to the last peak voltage but this condition is not fulfilling here ...why ?
i have...
Homework Statement
Hi everyone.
For a lab we have had to simulate a circuit with a "real" capacitor and review its S11 in order to re calculate back the values of R, L and C.
The important result is obviously at resonant freq.
So at 27.3GHz S11 = -0.989
also, for good measure, at...
Homework Statement
I did an experiment using an RLC circuit (in series) and an oscilloscope to determine the resonance frequency and amplitude (in volts) of my components (R total = 2300ohm, L = 0.081H, C = 1.5E-8F). I plotted all the data I collected (V vs. f) and got a nice response curve...
Homework Statement
I have some difficulties in parts 3 and 4 of the following problem:
(1) A sufficient time has elapsed after closing the switch S, and a steady state is established in the circuit with a constant current I0 flowing. Find the expression for I0.
(2) Then the switch S is...
Homework Statement
I have a series RLC circuit, no values given, connected to a voltage source Vs(t). I am asked to write the differential equations for:
a. that relates the inductor current iL(t) to the source voltage Vs(t).
b. that relates the capactor voltage Vc(t) to the source...
Homework Statement
Find v(t) across a cap. in a series rlc circuit with no driving force (initial v across cap: 24V)
Homework Equations
from the values of the components, \alpha > \omega_0, the circuit is overdamped, and the following equation can be used: v(t) =A_1 e^{s_1 t} + A_2...
hey guys, i was just wondering, in a series RLC circuit, is "R" the Thevinin's equivalent resistance at the "Capacitor and Inductor" terminals?, if not please correct me. Thanks.
Hi,
I have the following circuit:
[PLAIN]http://img252.imageshack.us/img252/9470/phasor.png
I need to find the current i(t).
I have come to a point where i don't know how to proceed.
I have the inductor and resistor in series.
40 +j120 in phasor form 126.5\angle 71.56
which...
Homework Statement
I am given a RLC circuit with a AC power source (e.g. signal generator), and i want to find the reactance of the capacitor.
Given: R = 2200 Ohms, L = .025 H, C = (1 x 10-9) F, V0 = 5 V
f = 3000 Hz
Homework Equations
edit: Sorry i wrote wrong formula.. here is...
Homework Statement and Homework Equations
I am trying to get from:
I_{max}=\sqrt{2}I=\frac{V}{\sqrt{R^2+(\omega L-\frac{1}{\omega C})^2}}
to:
\Delta\omega=\omega_1-\omega_2=\frac{R}{L}
The Attempt at a Solution
From the equation above:
\sqrt{R^2+(\omega L-\frac{1}{\omega...
I need to find an expression for IL(t) i attached scans of what i have tried. I am not sure i did it right could you please take a look
see post # 2 for my attempt at solution
Homework Statement
The circuit below (please see attactment) shows an RLC filter circuit whereby RC = 1/2 and LC = 1/16. Determine the differential equation that describes the relationship beween the input voltage Vi(t) and output voltage Vo(t). If the initial conditions of the capacitor and...
Homework Statement
For a RLC circuit with RC = 1/2 and LC = 1/16 determine the differential equation that describes the relationship between the input and output voltages. An image of the circuit is shown with RLC all in series with the input voltage Vi(t) across all 3 components. The voltage...
I am building a resonant RLC network in which the inductor is actually a loop antenna that will pick up changes in magentic fields and represent them as a voltage. Is this configuration actually feasible where the loop antenna is both the voltage source and the inductor?
Also slightly related...
Hey,
The impedance of the series and parallel RLC circuit both tend to R near the resonant frequency (one is a min/ one is a max) so if I expand the frequency around this point I should be able to show they are the same for \delta \omega small right? For some reason I can't get it to work. Any...
Homework Statement
I am given a RLC circuit in series with a fully charged C. There is no applied voltage at this part of the problem.
Using kirchhoff I arrive at a second order diff.eq which leads me to the (correct) solution for the charge in the capacitor: q(t) = Q0exp(-t/T)cos(wt + Ø)...
Hello everybody. I have an over-damped RLC parallel circuit. Using techniques taught, I solved for v(t) = 70e^(-10,000t)+20e^(-40,000t) V for t> zero. This indicates that my initial voltage is 90v. Using MATLAB (Part of the assignment) I verified this. I also found that Current as a function of...
Homework Statement
A television channel is assigned the frequency range from 54 MHz to 60 MHz. A series RLC tuning circuit in a TV receiver resonates in the middle of this frequency range. The circuit uses a 16 pF capacitor. Inductor is .487 micro Henries.
In order to function properly, the...
Homework Statement
A series RLC circuit consists of a 100 ohm resistor, a 0.10 H inductor, and a 100 micro farad capacitor. It is attached to a 120 V/60 Hz power line. What is the peak current, I?
Homework Equations
I=V/Z
Z=sqrt(R^2+(omegaL - (omegaC)^-1))
omega=2pif
The Attempt...
speaking of R-L-C series and parallel circuits, can anyone tell me what is the physical meaning of characteristic frequency, damping ratio, overdamped, underdamped, critically damped circuits?
Homework Statement
A resistor, R = 100 Ω, an inductor, L = 0.20 H and a capacitor, C = 3 µF are connected in series across an ac source of VS = 100 V and frequency, f = 200 Hz. Calculate the following for this series circuit:
in attempt at solution
Homework Equations
The Attempt...
the problem statement is attached.
i've begun by converting everything into phasor notation but I'm not quite sure where to go from here. when i try to add the C and the L phasors, i get zero. this doesn't seem right.
another problem is i have no idea what to do when i get the impedances of...
Homework Statement
The question ask if VL=VC if the circuit is under resonace
The Attempt at a Solution
I originally thought when resonance happens in RCL circuit, Vr=Vsupplied, therefore, by loops rule Vr+Vc+VL=Vsupplied, during reasonance Vr and Vsupplied canceled each other, so what's...
-Is the RCL circuit in resonant? Explain
-Given that C is equal to 2X10-3F, find inductance, L.
problems:
-Is fo equal to 1...because the maximum value in the graph at t=1?
-from the graph,how to know that the graph is resonant or not?...can i say that because the current and the voltage...
Homework Statement
A resistor, R = 100 Ω, an inductor, L = 0.20 H and a capacitor, C = 3 µF are connected in series across an ac source of VS = 100 V and frequency, f = 200 Hz. Calculate the following for this series circuit:
a) the total circuit impedance (Zt)
b) the total circuit current...
Homework Statement
A resistor, R = 100 Ω, an inductor, L = 0.20 H and a capacitor, C = 3 µF are connected in series across an ac source of VS = 100 V and frequency, f = 200 Hz. Calculate the following for this series circuit:
a) the total circuit impedance (Zt)
b) the total circuit current (IS)...
Homework Statement
For which of the following AC circuits does impedance depend on frequency? A circuit with
Check all that apply.
a resistor and inductor.
a resistor and capacitor.
only a resistor.
Homework Equations
The Attempt at a Solution
I think that for a capacitor...
Hello everybody,
So I've been on this problem for nearly 4 hours now and am still blank at what i need to do as this book only has 2 RLC circuit examples that are not helping.
--R1-----R2--
| | |
Vs L C
| | |
-------------
(well...this diagram didn't...
Homework Statement
Derive the second order differential equation relating x(t) and y(t).
Using the Laplace transform, find the total response as a function of the zero input response and the zero state response in the following form.Homework Equations
Y(s)=Yzs(s) + Yzi(s)
The Attempt at a...
Homework Statement
R=250 L=6 C=15microf e(t)=300sin(50pi t) Find Z, phase angle, lead/lag, emf(215ms) (got all of this right) Voltage across inductor, capacitor and resistor, also show that the sum of the voltage across the elements at 215ms is equal to total emf at 215ms. Homework Equations...
Homework Statement
An alternating source drives a series RLC circuit with an emf amplitude of 6.0V, at a phase angle of +30deg. When the potential difference across the capacitor reaches its maximum positive value of +5.00V, what is the potential difference across the inductor?
Homework...
Homework Statement
A single loop circuit consists of a 7.2 ohm resistor, a 12.0 H inductor, and a 3.20*10^-6 F capacitor. Initially the Capacitor has a charge of 6.20*10^-6 C and the current is zero. Find the charge on the capacitor N complete cycles later for a) N=5, b) N=10, and c) N=100...
Homework Statement
Fit P(w) to determine Q, and w_0, and R. You should put in Vrms as a known constant.
Homework Equations
P(\omega)={\frac{V_{rms}^{2}}{R(1+Q^2(\frac{\omega}{\omega_0}-\frac{\omega_0}{\omega})^2)}
Q=\frac{\omega_0}{\Delta\omega}
R=R_load+r
The Attempt at a...
Homework Statement
4.) Determine the average power in an RLC circuit. Derive an expression for the resonance frequency in terms of L and C. Is the average power a maximum or a minimum at the resonance frequency?
Homework Equations
The Attempt at a Solution
I have circled in red...
Homework Statement
When the power factor of RLC circuit is equal to one, the frequency of the voltage source is 3 x 10^3 Hz. The rms value of the voltage source is 139 Volts and at a frequency of 3 x 10^3 Hz, the rms current in the circuit is 37.1 amps. If the inductive reactance at 3 x 10^3...
Homework Statement In a series circuit V = V<0 @50hz with an R and C, show that the graph of the loci or the port impedance, Z, and port admittance, Y, as the resistance R is varied from 0 to inf ohms are as shown.
http://ivila.net/prob.pnghttp://ivila.net/loci.png
Homework Equations
The...
Homework Statement
Provided in the picture below.
Homework Equations
The Attempt at a Solution
So what I've done so far is use KVL to obtain Vc(t) +Vr(t) + Vo(t) = 1/2Vin(t).
Could someone tell me if I started this problem correctly? Would I just take the derivative of the...
Homework Statement
In an L-R-C series circuit, the rms voltage across the resistor is 32.0 , across the capacitor it is 90.1 and across the inductor it is 51.5 .
What is the rms voltage of the source?
Homework Equations
Well there are lots of equations V_rms =V/sqrt(2)
V_R=IR...
Homework Statement
[PLAIN]http://img255.imageshack.us/img255/3048/56893213.jpg
Find the voltage of the applied source.
Homework Equations
I=V/R
Kirchoff's Voltage LawThe Attempt at a Solution
Applying KVL.
V= 40 + 50 +20
=110
Is this question that simple?
Or am I missing something?
Homework Statement
When the power factor of RLC circuit is equal to one, the frequency of the voltage source is 3 x 10^3 Hz. The rms value of the voltage source is 139 Volts and at a frequency of 3 x 10^3 Hz, the rms current in the circuit is 37.1 amps. If the inductive reactance at 3 x 10^3...
Homework Statement
In an oscillating series RLC circuit, with a 8.77 Ω resistor and a 15.0 H inductor, find the time required for the maximum energy present in the capacitor during an oscillation to fall to 1/8 its initial value.
Homework Equations
I know that for an RLC Circuit...
Homework Statement
Plot |z| vs. f(Hz) of the circuit. R=100, C=600 pf = 6E-12 F, L=10E-6 H . All elements of the circuit are in parallel. Also identify the resonant frequency.
Homework Equations
ZR=R
ZL=jwL
ZC=1/(jwC)=-j/(wC)
w=2(pi)f
w0=1/sqrt(LC)
f0=1/(2(pi)sqrt(LC))
G=1/R...
Homework Statement
In my lab we did an experiment using an RLC parallel circuit, with the L and C in parallel. The voltage source was set at square waves. I am being asked to explain why there are frequencies, beyond the resonance, at which there is a peak voltage drop across the capacitor...
Homework Statement
I am required to write KVL circuit equations for the following circuit
I don't need to finish solving for I1, I2, I3 and I4 at the moment. I just need a bit of help setting up the equations. Thanks.
Homework Equations
Kirchoff's Voltage Law, which states that...
Homework Statement
Find the frequency at which the circuit becomes purely resistive and calculate the effective resistance.
Here is the circuit with the given solution-
The trouble is, whilst the solution is simple enough, there are many places to go wrong, and the whole process is...
I want to know how to find the R thevenin of an RLC circuit. Do I short the inductor and open the capacitor? or do I remove both capacitor and inductors?
Homework Statement
For the following circuit:
where R1 = 100k\Omega, R2 = 10\Omega, L = 0,1Hy, C = 200\muF. V gives a constant tension of 1V. Find the current I as function of the frecuence, the condition of resonance, and the condition R1 and R2 must have so that the Q factor = 0,5...
I don't find my notes right now, I'll try to use my memory on this.
According to my notes, the impedance of an RLC series circuit is given by \frac{1}{\sqrt{R^2+\left ( \omega L-\frac{1}{\omega C}\right )^2 }}.
So when in resonance, Z=\frac{1}{R} instead of Z=R.
Also if I recall well, for...