introduction to electric circuits -...
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![Page 1: Introduction to Electric Circuits - ccrs.hanyang.ac.krccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter14_1.pdf · EXAMPLE 14. —st 2-1 Laplace Transform Pairs —at where a > 0](https://reader033.vdocuments.us/reader033/viewer/2022051723/5ab91a4f7f8b9aa6018d6dd9/html5/thumbnails/1.jpg)
Introduction to Electric Circuits
Chapter 14 The Laplace TransformPart 1
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Laplace Transform
![Page 3: Introduction to Electric Circuits - ccrs.hanyang.ac.krccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter14_1.pdf · EXAMPLE 14. —st 2-1 Laplace Transform Pairs —at where a > 0](https://reader033.vdocuments.us/reader033/viewer/2022051723/5ab91a4f7f8b9aa6018d6dd9/html5/thumbnails/3.jpg)
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Inverse Laplace Transform
![Page 5: Introduction to Electric Circuits - ccrs.hanyang.ac.krccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter14_1.pdf · EXAMPLE 14. —st 2-1 Laplace Transform Pairs —at where a > 0](https://reader033.vdocuments.us/reader033/viewer/2022051723/5ab91a4f7f8b9aa6018d6dd9/html5/thumbnails/5.jpg)
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Linearity
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Laplace Transform of Derivative
Integration by parts
d du dv dv d duuv v u u uv vdt dt dt dt dt dt
dv duu uv vdt dt
00 0
, ,
( ) (0 )
st st
st st st
dv df duu e v f sedt dt dt
df e dt e f s fe dt sF s fdt
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Pulse Inputs
Unit step function
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Impulse Function
![Page 18: Introduction to Electric Circuits - ccrs.hanyang.ac.krccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter14_1.pdf · EXAMPLE 14. —st 2-1 Laplace Transform Pairs —at where a > 0](https://reader033.vdocuments.us/reader033/viewer/2022051723/5ab91a4f7f8b9aa6018d6dd9/html5/thumbnails/18.jpg)
Impulse Function
![Page 19: Introduction to Electric Circuits - ccrs.hanyang.ac.krccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter14_1.pdf · EXAMPLE 14. —st 2-1 Laplace Transform Pairs —at where a > 0](https://reader033.vdocuments.us/reader033/viewer/2022051723/5ab91a4f7f8b9aa6018d6dd9/html5/thumbnails/19.jpg)
Time-shifted Function
![Page 20: Introduction to Electric Circuits - ccrs.hanyang.ac.krccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter14_1.pdf · EXAMPLE 14. —st 2-1 Laplace Transform Pairs —at where a > 0](https://reader033.vdocuments.us/reader033/viewer/2022051723/5ab91a4f7f8b9aa6018d6dd9/html5/thumbnails/20.jpg)
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Inverse Laplace Transform
![Page 23: Introduction to Electric Circuits - ccrs.hanyang.ac.krccrs.hanyang.ac.kr/webpage_limdj/circuit2/Chapter14_1.pdf · EXAMPLE 14. —st 2-1 Laplace Transform Pairs —at where a > 0](https://reader033.vdocuments.us/reader033/viewer/2022051723/5ab91a4f7f8b9aa6018d6dd9/html5/thumbnails/23.jpg)
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Simple Complex Conjugate Poles
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Repeated Poles
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