ECE 202 Lesson 20

# ECE 202 Lesson 20 - V I V I I L L L L L L L di t t L dt s L...

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ECE 202 Circuit Theory 2 Lesson 20 Circuit Elements in the s-Domain Resistor, Charged Capacitor, Fluxed Inductor

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Representing the Resistor in the s- Domain ( 29 ( 29 ( 29 ( 29 v V I R R R R t Ri t s R s = = R a b ( 29 R i t ( 29 v _ R t + R a b ( 29 R I s ( 29 V _ R s + 2
Representing Charged Capacitor in s- Domain + V 0 - C a b ( 29 v _ C t + ( 29 C i t ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 0 0 v I V v 0 I V V V 1 V I C C C C C C C C C d t i t C dt s C s s s Cs s C s s Cs s = = - - = - = + 3

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Laplace Transform Impedance of Capacitor + V 0 - C a b ( 29 v _ C t + ( 29 C i t ( 29 ( 29 ( 29 ( 29 0 0 V 0 V 1 V I V 1 I C C C C s s Cs s s s Cs = = + = 4
s-Domain Equivalent Circuits for Capacitor ( 29 ( 29 0 V 1 V I C C s s Cs s = + ( 29 ( 29 0 I V V C C s Cs s C = - series equivalent circuit parallel equivalent circuit 5

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Representing Fluxed Inductor in s- Domain ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 0 v

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Unformatted text preview: V I V I I L L L L L L L di t t L dt s L s s i s Ls s L = =--=-a b L I ( 29 L i t ( 29 v _ L t + 6 Laplace Transform Impedance of Inductor ( 29 ( 29 ( 29 ( 29 I V I I V I L L L L s Ls s L s Ls s = =-= a b L I ( 29 L i t ( 29 v _ L t + 7 s-Domain Equivalent Circuits for Inductor ( 29 ( 29 V I I L L s Ls s L =-series equivalent circuit ( 29 ( 29 I 1 I V L L s s Ls s = + parallel equivalent circuit 8...
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## ECE 202 Lesson 20 - V I V I I L L L L L L L di t t L dt s L...

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