Circuit Analysis using Laplace Transform | Network Analysis

Published: 17 October 2023
on channel: ALL ABOUT ELECTRONICS

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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:
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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.

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