Circuit Analysis using Laplace Transform | Network Analysis

In this video, how to do the circuit analysis of electrical circuits using the Laplace Transform has been explained with few solved examples.

The circuit analysis using the Laplace Transform involves the following steps.
1) Find the equivalent electrical circuit in the s-domain
2) Using circuit analysis techniques like nodal/ mesh analysis, superposition theorem, and source transformation find the node voltage and loop currents in the circuit. And with the help of it, find the voltage or current across any element in the s-domain.
3) Using inverse Laplace Transform, find the time-domain expression of voltage or current.

The circuit analysis using the Laplace Transform is specifically useful when the circuit contains a non-standard excitation source like exponential sources, triangular waveform, etc, or it is useful for doing the circuit analysis of second-order RLC circuits.

In this video, how to find the equivalent s-domain representation for the basic circuit elements (with and without initial conditions) like resistor, capacitor, and inductor is explained.

And after that, the procedure of doing the circuit analysis using the Laplace Transform is explained through different solved examples.

The following topics are covered in the video:
0:00 Introduction
1:29 S-domain equivalent circuits for resistor, inductor, and capacitor
8:56 Example 1
16:44 Example 2

For other useful videos related to Laplace Transform, check this playlist:

This video will be helpful to all the students of science and engineering in understanding, how to do the circuit analysis using the Laplace Transform.

#allaboutelectronics
#laplacetransform
#networkanalysis

Support the channel through membership program:
--------------------------------------------------------------------------------------------------
Follow my second channel:

Follow me on Facebook:

Follow me on Instagram:
--------------------------------------------------------------------------------------------------

[ALLABOUTELECTRONICS]

For other useful videos related to Laplace Transform, check this playlist:

[Stevensmith]

Just now I searched for the same topic and came the notification of yours.

[jaseemajasmin]

Thankyou so much for this wonderful classs❤🎉

[NshimiyimanaNorbert-burg]

We really thank you you are helping us understand more than we would imagine if its possible call tell us On sit transistor

[rsii]

Have you also made lecture videos on Three phase circuits??
And I really appreciate your hardwork..

[zahir_]

In example 2 at 20:20 why vout = 4*i why 4 multiplied

[InAll.]

Sir my dought is that in first question final answer was written without u(t)
But second Question final answer was written in terms of u(t), why?

[David_]

5:01 thanks for the video, what does it mean that the inductor has an initial current I(0-)? Is it like there's an initial magnetic field on the coil without being connected to anything or what does it mean?

[punnabratachatterjee]

Sir did you explained convolution theorem in this video series

[rudrakshjain]

While writing the s domail equivalence of inductor, when we get the term v(s) = Lsi(s) + Li(0-), why does that translate to an inductor of ls inductance? Wouldn't that have a different voltage?

[GlobalGrooveTrends]

In the first example, why do we introduce root 2 squared?

[achalchoudhari]

why did you multiply 3s on both side ? 13:34

[fyzrr]

sir what is the frequency shifting property?

[ani.]

At 10:57 in the first question why did u write u(t)=1/s i mean how😅

[abinroy]

in example 2 how does v0(s) become 4*i(s) where does 4 come from

[urnoob]

can i solve ac circuit this way instead of the phasor domain? man i really hate dealing with complex numbers

a quick look and i cant seem to find how to solve the phase in s domain

seems only for transient analysis

so im stuck with phasor?

will it actually be harder to solve ac using s domain than phasor domain?

[kamalmcplover]

Sir can you perform this in programming for better explanation