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2 answers
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Nodal analysis with inverse Laplace transform of a simple RC circuit with an AC voltage source gone wrong?

simulate this circuit – Schematic created using CircuitLab This is a simple RC circuit with an AC voltage source, \$E = V_0 \cos(\omega t)\$. In the sinusoidal state, \$Y_{\text{resistor}} = G\$ ...
fusedxbrain's user avatar
1 vote
1 answer
74 views

Laplace transform of multiple sources in a circuit

I came across this circuit and couldn't solve it. From what I know the Laplace transform of a DC source would be the constant divided by the \$s\$ variable. However, does this only applies to sources ...
Alex Lim's user avatar
1 vote
0 answers
70 views

How to separate Transient and Steady-State Expression from Periodic Summation Response?

Background My question comes from here, it's a response of 1st order LPF RC circuit from an arbitrary periodic input. How to determine the transient response of a circuit to causal periodic inputs? ...
Unknown123's user avatar
3 votes
2 answers
297 views

How to solve this problem using transient time-domain analysis?

Find V0(t) in this circuit assuming zero initial conditions. I solved it (refer image above) using frequency-domain analysis using Laplace and found the answer, but I am not able to get the same ...
Bruce Wayne's user avatar
1 vote
1 answer
91 views

Type-2 compensator transient response

I'm looking to find the transient response to a step impulse of a type-2 compensator. I already found the transfer function, but when it comes to finding the transient response by using the inverse ...
Gontran's user avatar
  • 13
2 votes
0 answers
61 views

Laplace analysis of coupled circuit confusion

So i solved this by first finding differential equations and then by taking laplace transform of them here are my working- for left loop $$5i_{1}\left( t\right) +4.9\dfrac{d}{dt}i_{1}\left( t\right) -...
fpsshubham's user avatar
1 vote
1 answer
363 views

How to determine the transient response of a circuit to causal periodic inputs?

As you know, analyzing a circuit with phasors provides only the steady-state response, and is only useful for sinusoidal signals and DC signals. Fourier series allow us to analyse a circuit with ...
alejnavab's user avatar
  • 1,019
1 vote
0 answers
57 views

How to do Transient analysis?

Consider the above example earlier I used to form a differential equation and then do its solution using Laplace,but for this example the differential equation comes out to be non-ordinary. Please ...
SUNITA GUPTA's user avatar
0 votes
1 answer
1k views

What is difference between natural response and zero-input response of a system and how to find natural response?

In most books it is said that natural response is another name to zero-input response while in some resources is is mentioned that the classification is based on poles of transfer function and input....
SUNITA GUPTA's user avatar
-1 votes
2 answers
224 views

How to tackle circuit containing time variable resistor?

simulate this circuit – Schematic created using CircuitLab For instance above schematic find current as function of time in circuit above I studied it about months before and am not able to ...
Buzz bee's user avatar
0 votes
1 answer
1k views

Laplace transforms for transient analysis

simulate this circuit – Schematic created using CircuitLab For t<0 the switch is opened. Att=0 the switch is closed. ...
Federico Zucchi's user avatar
1 vote
3 answers
2k views

Why do we use Laplace transforms to analyse transient circuits?

I just learned transient circuits and we solved them both in the time domain and the Laplace domain and I can't understand why we would use the Laplace domain as it seems it is a lot more simple to ...
Pedro's user avatar
  • 197
1 vote
3 answers
809 views

Transient analysis with Laplace and nodal analysis error

Have the schematic: Solving using MathCAD: There is an error in my equations with nodal analysis but I can't find where? May anyone help me? I also add the solution using approach of series RLC ...
MaxMil's user avatar
  • 385
2 votes
1 answer
1k views

Find inductor current with Laplace

I need to find the inductor current for t > 0 and initial conditions as in example below. I think it's enough to divide V1 by 5*s and take the inverse Laplace Transform but my answer 3*e^-2*t - 7*e^-t ...
MaxMil's user avatar
  • 385
2 votes
5 answers
3k views

How Fourier transform be able to deal with transients?

Below is what Matt L.said in the thread here. Could anyone clarify how Fourier transform be able to deal with transitents? Reading that thread many times but I couldn't figure it out. Note that ...
emnha's user avatar
  • 1,661
0 votes
1 answer
374 views

KCL and KVL with Laplace incorrect result

For t > 0 find v0(t) Using nodal analysis I was found v1 and v2, take difference and find correct result But I can’t make same with direct KCL, KVL approach May anyone help with that?
MaxMil's user avatar
  • 385
2 votes
2 answers
7k views

Solving transient circuit with serial RLC using Laplace Transform

I'm trying to solve this using Laplace transform: (U - voltage, I - current). I am to get Uc. My attempt was to calculate I and then get Uc using ohm's law, but I wasn't able to find the I yet. Here ...
MightyPork's user avatar
0 votes
1 answer
4k views

What is the general form of a first and second order dynamic system, in laplace and time space?

I have some of the information, but a lot of it is missing and I cant find a clear answer on the web. The general form of a second order dynamic system is: $$\frac{d^2x(t)}{dt^2}+2\zeta\omega_n\frac{...
Blue7's user avatar
  • 1,675