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What is Laplace Transform? Why Laplace Transform is used in Circuit Analysis?
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This video explains What is Laplace Transform and Why it is used in the Circuit analysis (Advantage of using the Laplace Transform in the Circuit Analysis)
The following topics are covered in the video:
0:00 What is Laplace Transform?
1:00 Advantage of using a Laplace Transform in the Circuit Analysis
3:33 Laplace Transform Formula (One-sided Laplace Transform)
6:08 Condition for the existence of the Laplace Transform
7:55 Region of Convergence (ROC) in Laplace Transform
10:42 Inverse Laplace Transform Formula
What is Laplace Transform:
The Laplace transform is integral transform which convert the time domain function into the complex frequency domain. The complex frequency is usually represented using the variable S. (S = σ + jω)
Why Laplace Transform is used in Circuit Analysis:
Following are the advantages of using the Laplace Transform in the Circuit Analysis:
1) Using Laplace Transform, Differential Equations turns into Algebraic equation
2) Initial conditions are taken care during the transformation
3) In a single operation, the total response of the circuit (CF + PI) can be found
4) Laplace Transform can be applied to wide variety of inputs
In this video, the definition of Laplace Transform is explained, the condition for the existence of the Laplace Transform and the Region of Convergence (ROC) in Laplace Transform is explained.
And in the end, the definition of Inverse Laplace Transform is also explained.
For videos on Network Analysis / Network Theory, check this playlist:
This video will be helpful to all the students of science and engineering in understanding what is Laplace Transform and why it is used in the Circuit Analysis ?
#allaboutelectronics
#networkanalysis
#laplacetransformation
Support the channel through membership program:
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The following topics are covered in the video:
0:00 What is Laplace Transform?
1:00 Advantage of using a Laplace Transform in the Circuit Analysis
3:33 Laplace Transform Formula (One-sided Laplace Transform)
6:08 Condition for the existence of the Laplace Transform
7:55 Region of Convergence (ROC) in Laplace Transform
10:42 Inverse Laplace Transform Formula
What is Laplace Transform:
The Laplace transform is integral transform which convert the time domain function into the complex frequency domain. The complex frequency is usually represented using the variable S. (S = σ + jω)
Why Laplace Transform is used in Circuit Analysis:
Following are the advantages of using the Laplace Transform in the Circuit Analysis:
1) Using Laplace Transform, Differential Equations turns into Algebraic equation
2) Initial conditions are taken care during the transformation
3) In a single operation, the total response of the circuit (CF + PI) can be found
4) Laplace Transform can be applied to wide variety of inputs
In this video, the definition of Laplace Transform is explained, the condition for the existence of the Laplace Transform and the Region of Convergence (ROC) in Laplace Transform is explained.
And in the end, the definition of Inverse Laplace Transform is also explained.
For videos on Network Analysis / Network Theory, check this playlist:
This video will be helpful to all the students of science and engineering in understanding what is Laplace Transform and why it is used in the Circuit Analysis ?
#allaboutelectronics
#networkanalysis
#laplacetransformation
Support the channel through membership program:
--------------------------------------------------------------------------------------------------
Follow my second channel:
Follow me on Facebook:
Follow me on Instagram:
--------------------------------------------------------------------------------------------------
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