Circuit Anlaysis in S-Domain

Circuit Anlaysis in S-Domain - Circuit Analysis in s-Domain...

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1 ECE 307 -3-1 Circuit Analysis in s-Domain Electrical and Computer Engineering Department Cal Poly Pomona ECE 307 -3-2 Circuit Elements in the s-Domain The Laplace Transform of V(t) and I(t) are . A Resistor in the s Domain { } () Vs vt L = { } Is it L = - + v(t) b a R R = , RIs = R = R + a - b V(s) The Laplace Transform is I(s) I(s)
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2 ECE 307 -3-3 b + sL 1 2 a V(s) - L 1 2 - + a v(t) b An Inductor in the s Domain Circuit Elements in the s-Domain The Laplace Transform is i(t) I 0 () di t vt L dt = 0 () (0) Vs L s Is i Ls Is L I ⎡⎤ =− = ⎣⎦ 00 1 L I I sL sL s + = =+ I(s) LI 0 I(s) sL 1 2 V(s) + b a - I 0 /s 0 1 t t it vt d t L = ECE 307 -3-4 a v(t) C b + - Circuit Elements in the s-Domain An capacitor in the s Domain The Laplace Transform is dv t C dt = i(t) V 0 0 C sVs v CsVs CV = 1 Is CV V sC sC s + = b + 1/sC V(s) - a 1/sC + - a V(s) b I(s) I(s) CV 0 V 0 /s 0 1 t t it d t c =
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3 ECE 307 -3-5 Circuit Elements in the s-Domain 3 2 9.5 8 () 21 (8 ) (0 . 5 ) s S Is ss s + + + == ++ + 8 3( ) t eu tV 80 . 5 3 .2 1 tt vt e e ut V −− ⎡⎤ =− ⎣⎦ Calculate the voltage v(t) in the following circuit.
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Circuit Anlaysis in S-Domain - Circuit Analysis in s-Domain...

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