C22-act - ELECTRIC CIRCUITS ECSE-2010 Class 22 ACTIVITY...

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1 ELECTRIC CIRCUITS ECSE-2010 Class 22 ACTIVITY 22-1 s v( t ) C i 10 Ω 12 H 112 F C v + 6 Ω + C 9i V Time Domain s v (t) 8 V for t 0 x(t) for t 0 = < = C Find v (t) for t 0 ACTIVITY 22-1 CL C C Draw Circuit at t 0 Find v (0 ) and i (0 ) Draw s-Domain Circuit for t 0 Include full models for C and L Find Constraint Equation Write a Node Equation for V Solve for V (s) Use PFE t −− = > C o find v (t) ACTIVITY 22-1 8 V 10 Ω 6 Ω t0 = 6 Ω C v(0) + L i( 0) 10 Ω + C 9i 0 = L 8 i (0 ) .5 A 61 0 == + v(0) 10 i(0) 5 V C 0) 0 = ACTIVITY 22-1 X(s) 6 Ω 10 Ω s 2 Ω L Li (0 ) 0.25 V = 12 s Ω C 5 V ss = C I C V + C 9I V s-Domain Constraint Equation: C C 5 V s I 12 s = > C sV 5 12 = () x(t) L = 0 V ACTIVITY 22-1 X(s) 6 Ω 10 Ω s 2 Ω L Li (0 ) 0.25 V = 12 s Ω C 5 V = C I C V + C C Write a Node Equation at V C 2 ( 2 s4 0 ) X ( s )( 5 ) Show that V (s) s6 4 ++ + =
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2 ACTIVITY 22-1 X(s) 6 Ω 10 Ω s 2 Ω L Li (0 ) 0.25 V = 12 s Ω C v( 0) 5 V ss = C I C V + C 9I V Node Equation: CC C C sV 5 V X V (9I .25) 0 12 6 s 2 10 −− ++ = + ACTIVITY 22-1 C C sV 5 V X V (9I .25) 0 12
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C22-act - ELECTRIC CIRCUITS ECSE-2010 Class 22 ACTIVITY...

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