Laplace Transform of Basic Functions (Impulse, Unit Step, Ramp, Parabolic, sine and cosine )

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In this video, the Laplace Transform of some Basic Functions(like Impulse, Unit Step, Ramp, Parabolic, Exponentials, and Sinusoids) which are helpful for the circuit analysis has been derived.

The following topics are covered in the video:
0:00 Introduction
0:58 What is Impulse Function? The Laplace Transform of Impulse Function
4:51 Laplace Transform of Unit Step Function
9:00 Laplace Transform of Ramp and Parabolic Function
15:41 Laplace Transform of Exponential Functions
19:25 Laplace Transform of Sinusoids
25:43 Laplace Transform of Hyperbolic Sine and Cosine

The other useful videos related to Circuit Analysis:

1) What is Laplace Transform? Why it is used in the Circuit Analysis?

2) Transient Analysis: Behaviour of Basic circuit elements

3) Transient Analysis of RLC circuit:

This video will be helpful to all the students of science and engineering in understanding the Laplace Transform of the Basic Functions.

#allaboutelectronics
#networkanalysis
#laplacetransformation
#laplacetransform

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For more videos on Network Analysis, check this playlist : Network Analysis

ALLABOUTELECTRONICS
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You are the Best you really explain things in understandable way

NshimiyimanaNorbert-burg
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1:40 I don't understand why the dirac delta function's height can be understood as "1 divided by epsilon", in the case when epsilon is not the width, but instead the width divided by 2 (or the width on just one side of the y axis). If epsilon were to be 1, even if it is to ideally approach zero, 1 / 1 would be 1 (great, normal dirac), but in reality the width of the visual would extend 1 (epsilon) in the +x direction and 1 in the -x direction, making the width 2, making the integral of the dirac delta into 2.
Just a little confused about why the visual is the way it is that accompanies the "1 divided by epsilon" definition.

lanceward
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Electrical engineering 1st year.. Suffering from Laplace 😢

styrishrodrigues
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Sir explain is good but clear ga ledu formula kanipiyadm ledu clear ga

ShailajaShailu-lj