CHAPTER 4 PART 3 LAPLACE TRANSFORM CIRCUIT ANALYSIS.pdf - CHAPTER 4 LAPLACE TRANSFORM(PART 3 CIRCUIT ANALYSIS OUTLINE 2 1 2 3 \u2022 Initial Value Theorem

CHAPTER 4 PART 3 LAPLACE TRANSFORM CIRCUIT ANALYSIS.pdf -...

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CHAPTER 4 LAPLACE TRANSFORM CIRCUIT ANALYSIS (PART 3)
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OUTLINE 2 1 Initial Value Theorem 2 Final Value Theorem 3 Circuit Analysis
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INITIAL VALUE THEOREM The initial value theorem is defined by: The initial value of can be solved by using LT Initial Value Theorem 3 ) ( lim ) ( lim 0 s sF = t f s t L ) ( lim 0 t f t ) ( lim ) ( lim 0 s sF = t f s t L
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EXAMPLE 1 Find the initial value of t 0, for f ( t ) = 3 t 2 + 4 t +3. Solution : By using Laplace transform: Therefore 4 3 3 4 6 lim 3 4 6 lim 2 2 3 s s s s s s s s s s s s s s s F 3 4 6 3 4 ! 2 3 ) ( 2 3 2 3 ) ( lim ) ( lim 0 s sF = t f s t L
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