# C21-act - ELECTRIC CIRCUITS ECSE-2010 Class 21 ACTIVITY...

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1 ELECTRIC CIRCUITS ECSE-2010 Class 21 ACTIVITY 21-1 1 Ω 4 Ω 2 H 1 F 10 C v + in v( t ) in v = { 5 V for t 0 5 V for t 0 + < LC using Maple Find I(s), V (s), V (s) Find i(t), v (t), v (t) i Same circuit as Activity 20-2 ACTIVITY 21-1 @ t 0 = 5 V 1 Ω 4 Ω L i C v + L i( 0) 1 A = C 0) 4 V = C C dv 1 i(0) 0 (0) 10 dt −− == ACTIVITY 21-1 t0 : > s-domain [5 ] 5 s L = − 2s Ω 2(1) 2 V = 1 Ω 4 Ω 10 s Ω 4 V s Source Conversion ACTIVITY 21-1 4s .4 10 s = 10 20 4 s2 s 5 + 5 V s 2s Ω 2 V 1 Ω 4 Ω 10 s Source Convert Again ACTIVITY 21-1 5 V s 2s 2 1 20 Z 2s 5 + 8 V 2s 5 + C V + 1 Ω 2s Ω Z 20 8 .4( ) 2s 5 2s 5 = ++ 5 Combine V and 2 V Sources s

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2 ACTIVITY 21-1 2s Ω I 5 (2 ) V s 1 Ω 20 2s 5 Ω + Z 8 V 2s 5 + C V + 82 0 5 I (2s 1)I 2 2s 5 2s 5 s ⎛⎞ ++ + = ⎜⎟ ⎝⎠ 22 32 2 4s 8s 25 4s 8s 25 I(s) 4s 12s 25s s(4s 12s 25) −− == + + ACTIVITY 21-1 5 V s 2s 2 1 20 Z 2s 5 + 8 V 2s 5 + L V + C V + 2s Ω 2 V 1 Ω Z I L V (s) 2 2s I(s) =−+ 2 40s 100s 40s 100 s(4s 12s 25)
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## This note was uploaded on 10/21/2010 for the course ECSE 2010 taught by Professor Millard during the Spring '08 term at Rensselaer Polytechnic Institute.

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C21-act - ELECTRIC CIRCUITS ECSE-2010 Class 21 ACTIVITY...

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