The question is:
The voltage source in the above circuit is a sinusoidal AC source with constant amplitude and constant phase shift but an adjustable frequency.
Calculate the frequency ω at which the phasor current I...
Let's say we have a free-source series RLC circuit. The differential equation that describes the behavior of the transient is given by Ri+L\frac{di}{dt}+V=0, where V is the potential difference across the capacitor. But I have trouble understanding the way this equation is developed. For...
Homework Statement
A series RLC circuit has R=75 ohms, C=20 mF and a resonance frequency of 5.0 kHz. (i) What is the value of inductance? (ii)What is the impedance of the circuit at residence? (iii)What is the rms current at resonance if the rms voltage of the power supply is 120 V? (iv) How...
Homework Statement
An ideal AC voltage source generating an emf V (t) = V0 cosωt is connected in series with a resistance R, an inductance L, and a capacitance C.
a) Find the steady-state solution for the charge, q(ω,t), which is of the form q0(ω)cos(ωt− δ(ω)).
b) Find the steady-state...
Homework Statement
Find DEQ, circuit for time t>0.
Homework Equations
Ic= CdVc/dt
Vl=LdiL/dt
The Attempt at a Solution
At T=inf
L Short , C Open
IL(inf)=4mA, VL(inf)=0, Ic(inf)=0, Vc(inf)=0
T=0-
All at 0
T=0+
L=Open C=Short
IL(0+)=0, VL(0+)=0, Ic(0+)=4mA, Vc(0+)=0
20v=L diL/dt + Vc +...
Look this schematic picture:
S means source and can be a current source or a voltage source. C_1, C_2 and C_3 are linear components, can be resistor, capacitor and inductor.
In the everycircuit, I tried set up all possible combination and the everycircuit denied some combinations, but...
Homework Statement
The current in a series RLC circuit leads the generator voltage by φ = 30°. The circuit, containing an inductor L = 400 mH and a resistor R = 50 Ω, is driven by a generator operating at ω = 100 rad/s with a maximum emf of 10 V. The capacitance is unknown.
The first question...
Homework Statement
A series RLC circuit is connected to a 60 Hz AC source which produces an amplitude of εmax=20 V. The circuit element values are R= 20 Ω, L= 20 mH, C= 150 μF.
Calculate the total impedance of the circuit.
Homework Equations
Xc=1/ωC
XL=ωL
Z=√(R^2 +(XL-Xc)^2)
tan φ = (XL-Xc)/R...
Homework Statement
How and why does quality factor change in a series RLC circuit when the resistance in the circuit increases? I've made a small experiment circuit which looks like one in the picture:
The current frequency is 1 kHz and the voltmeter should show 2V throughout the whole...
Homework Statement
Given a series RLC circuit:
R = 10 Ω
L = 0.1 H
C = 2 μF
Power Source: V = 5sin(500t)
If you could change the capacitance what C would you select so Vrms across the capacitor and inductor is zero?
Homework Equations
ω2 = 1/LC
The Attempt at a Solution
My instructor's...
Homework Statement
Series RLC - Band Pass Filter[/B]
R = 2700Ω
Vi = 5 Vpp
C = 10 nF
L = 33 mH
I need to find the voltage across the resistor for different frequencies.
Homework Equations
w = 2pi*ƒ
V = R*Vi / (jwL + 1/jwC+R)
The Attempt at a Solution
This is from a lab experiment. How can I...
Homework Statement
This is actually a lab I'm performing on Multisim. I've recreated a circuit that I build in lab class , but I'm not getting the output I need. I am trying to calculate the V and phase angle across each component. I already have the measurements found form the class lab. In...
Homework Statement
We have a resistor of 350 Ohm, an inductor of 0.15H and a capacitor of 10 microfarad, connected in series to an AC source of voltage 240 V and frequency 50 Hz. The measured effective voltage over the resistor is 180V, and over the system of the both the inductor and the...
Homework Statement
For both the LR and RLC circuit, a function generator is used to create a 1000 Hz square wwave of maximum amplitude.
1) For the following LR circuit, the resistance is set to a 100 Ohms. Determine the inductance, L. How does the inductance vary if the resistance were...
Homework Statement
NOTE: Image uploaded with thread shows problem in clearest possible form.
V = (45v)sin(80[pi] t)
Resistors 1 and 2 = 50 Ohms
Inductor 1 = 20 mH
Inductor 2 = 2.5 mH
Capacitor = 50 uF
a) Find the power dissipated by each resistor.
b) At what frequency will both resistors...
Homework Statement
FIND i(t).
[/B]Homework Equations
VL = L*(di/dt) (Equation 1)
IC = C*(dV/dt) (Equation 2)
I(t) = e^-9*t*(A*cos(4.359*t) + B*sen(4.359*t)) A (Equation 3)
The Attempt at a Solution
I can get the exact value of the constant B as shown in the answer if I use -6 after the...
Homework Statement
For the series RLC circuit shown in Fig. Q8, determine the voltage across each element, and draw a complete phasor diagram.
Homework EquationsThe Attempt at a Solution
Total Impedance:
Z = R+Xc+Xl
= 75 - 60j + 25j
= 75-j35
Z = 82.76∠-25.02 (Phasor form)
Total...
http://imgur.com/hAzf2zP So I found the circuit is series, w0 and a0 equal 20 so it is critically dampened. For V(inf) I used current divider to get the equation (.1 A *120 ohm)/40 ohm = .3 A. Then I used ohms law to find v(t) = .3*120 = 36 V.
I then wrote down the circuit at t<0, t>0, and...
1. A resonant RLC circuit can be used as an amplifier for a certain band of frequencies around the resonant frequency. Consider a series RLC circuit as an audio band amplifier with an AC voltage source as the input, and the voltage across the 8.0Ω resistor as the output. The amplifier should...
Homework Statement
I have to answer a few questions about a lab session I did (university) and I'm really stuck with this one.
The objective of the lab session was to find the self inductance (L) of a solenoid.
In order to do that, I had a function generator exciting a solenoid with a high...
Homework Statement
For the circuit in the attached file, find io (current) for t>0
Homework Equations
The Attempt at a Solution
I have included an attachment which shows the solution. However, I will copy the solution here as well for reference:
When t<0, the switch is closed, the inductor...
Homework Statement
I am not sure how an Inductor behaves in an RLC Series Circuit
Homework Equations
The Attempt at a Solution
I know that after a long time, that the circuit above, the voltage in the capacitor is max. Generally, I also know that the current through an inductor after a...
Homework Statement
a)[/B] For the following circuit, if Vrms= 40V, write the current and the voltage equations.
http://www.imageupload.co.uk/images/2015/02/26/Captureaa814.png
b) For the following circuit, if i=0.8 sin(1000t-30), write the voltage equation and determine the average value of...
What methods could I utilise to find the individual values of the components - resistor, inductor and capacitor - of a series RLC circuit using an oscilloscope, signal generator and 10 ohm resistor. Where each component can be isolated in order to find the voltage etc.
I've already found the...
It is possible to use a capacitor/inductor in an op-amp to allow it to perform the mathematical function of differentiating or integrating an input signal. It is also possible to do this without an op-amp, using simply resistors, inductors and/or capacitors.
So what are the advantages of using...
Homework Statement
Please see attachment for circuit and parameters.
Homework Equations
i --> 90 phase angle for inductor so Z of inductor = 0.5<90
sum of voltages = 0
#<40 = #*cos(40) + i*sin(40)*#
The Attempt at a Solution
shteii01 - 100 + 0.5<90 + V2<theta = 0 --> 100 + 0.5*cos(90) +...
Homework Statement
I have been trying to set up an LRC series circuit where in place of an inductor we have a pair of coupled coils. My aim is to determine the resonant frequency in the circuit when the voltage across the resistor or the current in the circuit is at a maximum. I am using a...
In the direct current circuit, when you have a switch and you turn it on, you get the coil to generate a current to the opposite direction but the magnitude isn't big enough to offset the main one. But in the case of alternating currents, the coil seems to generate enough current up to the...
To find the natural response of a RLC circuit driven by a time-varying voltage, why do we assume that there's no forcing voltage driving the circuit even if there is one?
Homework Statement
I am completely stumped on this problem:
In this circuit:
v= 30.0
R = 400 ohms
C = 2.50 micro coulombs
L = .300 H
The switch (pretend you see one) is close at t=0
Current i1 flows through L and current i2 flows through C
QUESTION: At what time (t) does i1=i2 ...
Homework Statement
2. Homework Equations
Resonant Frequency = 1 / [2 * pi * squareroot(LC)]
Inductive Reactance = 2 * pi * f *L
Capacitive Reactance = 1 / (2 * pi * f * C)
Q = XL/Rw
BW = fr/Q[/B]
The Attempt at a Solution
The information in the handy dandy jpeg I created is LITTERALLY all...
Hello, I have to solve the following problem but I don't know how to find the I(t) from I(ω). I've already found that the total impedance of the circuit should be (1000/29)-j(255/29). Can anyone help me, please? I haven't done Integration and Derivatives. Thank you for your help.
if I consider a circuit consisting of a capacitor, an inductor and a resistor and using kirchhoffs voltage rule for the circuit i come up with the following
L(Q''(t)) + R(Q'(t)) + (Q(t))/C = 0 I solve for the roots using a characteristic equation of the form
LM2 +MR +(1/C) = 0
solving this for...
Homework Statement
In each of the four circuits shown,
an AC input voltage, ##V_0 cos(\omega t)## is applied on the
left and the output voltage is measured on the
right. Treat the input frequency as a...
I'm writing a short document in LaTeX and I can't find any .eps files online for inductors, capacitors, or resistors. If someone has a Mayura draw circuit containing those components that they would share, I could modify it with MD to do what I need. I've tried drawing an inductor myself, but it...
Homework Statement
In the circuit in the following figure, the resistor is adjusted for critical damping. The initial capacitor voltage is 15 V, and the initial inductor current is 6 mA and R=1250 ohms
Find vC(t) for t≥0.
Express your answer in terms of t, where t is in milliseconds...
Homework Statement
OK, I have the response function for a notch filter, and I want to find out what the frequency where it has the -3dB response.
Homework Equations
H(\omega) = \frac{1-\omega^2LC}{1-\omega^2LC+i\omega RC}
This is my response function. My \omega_0 = \frac{1}{\sqrt{LC}}
The...
Homework Statement
in series rlc circuit maximum voltage across inductor occurs at which frequency?Homework Equations
The Attempt at a Solution
In the series rlc circuit current through the inductor is maximum at the resonance frequency.
But I don't know whether at resonance frequency maximum...
Hi,
I've been trying to teach myself electronics. I have read a lot of introduction books and now want to build a circuit. However, I have not been able to find good books on how to assemble simple circuits. In other words how the parts (resistors, caps, coils, diodes, transistors) go...
If ##V_{BA} = P_B - P_A## (where V is the voltage and P the potential) so, ##V_{AB} = - V_{BA}##. The same ideia for the current: ##i_{BA} = - i_{AB}##, so this ideia of sense is true too for resistor, inductor and capacitor? The resistance, inductance and capacitance of an arbitrary sense is...
The equation for this physical model is:
http://upload.wikimedia.org/wikipedia/commons/f/fb/RLC_series_circuit_v1.svg
And for this is:
http://upload.wikimedia.org/wikipedia/commons/d/d0/RLC_parallel_circuit_v1.svg
But and if now I add a source of current in those schemes, the...
Homework Statement
In an RLC series circuit, the rms potential difference provided by the source is V = 150 V, and the frequency is f = 220/pi Hz. Given that L = 0.7 H, C = 70 µF, and V_R = 80 V, find:
a) I (rms);
I = A
b) R;
R = Ω
c) V_L (rms);
V_L = V
d) V_C...
Homework Statement
Image
Homework Equations
Critical damping : e-αt(At + B)
R = 1.5
The Attempt at a Solution
I'd like to post this before anything else to make sure that I've analyzed the circuit correctly.
t < 0: vc(0) = 9V , iL(0) = 9/4 = 2.25A
i = e-t/3(At + B)
i(0) = B = 2.25A...
Homework Statement
Image
Homework Equations
Critical Damping
* related to '*' on image : diL/dt = -vc(0) - Ri(0)
When do we use this to solve for the other constant? In the text, an example problem is never fully explained in mathematical terms.
The Attempt at a Solution
I am looking...
Hello, I am working on this problem
However, I am getting a 900t term that the solution is lacking. I am wondering if what I did was wrong. My formula is consistent with the formula for a series RLC circuit that is critically damped.
Hello, I am working on this problem
I am having some difficulty finding the right answer. A few points I'd like to expand on so that one can understand my thought process. First off, there is a standard table with the solution to series RLC circuits. I don't think I can use that table with...
Homework Statement
A1 = 5A, A2 = 4A, A3 = 3A. V = 120V
a) Given the circuit above, find A4
b) Find the angle between E and IT. Draw a diagrammatic (?) and find the power in the circuit.
c) Find the values of R, L and C.
Homework Equations
The Attempt at a Solution...
Homework Statement
I'm working through this question, but on the final part I've hit a brick wall so I'd be grateful for any help please.
The tuned circuit has a Q-factor of 1000 and is designed to resonate at 1MHz. At resonance, the supply current I is measured at 15μA for supply...