EE_365_200708FA_homework_02_solution

# EE_365_200708FA_homework_02_solution - 1 Va a ~ Ia Z Ib b Z...

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1 Homework 02 © Jeffrey Mayer 2005-2007. All rights reserved. EE 365 Fall 2007 1. 2 33 3 2 3 2 3 n nn n a a n b b n c c n t n YY Y I V I Y V I V Y ⎡⎤ + −− ⎢⎥ ++ + ⎤⎡ + ⎥⎢ =− + ⎦⎣ + + ⎣⎦ ±± a b a I ~ a V ± c I ± b I ± c c V ± c V ± Z Z Z n I ± n V ± n Z n a b a I ~ a V ± c I ± b I ± c c V ± c V ± 1 = Z Y 1 = n n Z Y 0 n Y = 20 30 aa bb cc t Y Y Y I V Y I Y V Y I V Y Y Y + + + + + + = c b a c b a V V V Y Y Y Y Y Y Y Y Y I I I ~ ~ ~ ~ ~ ~ 3 2 3 1 3 1 3 1 3 2 3 1 3 1 3 1 3 2 1 = Z Y

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2 Homework 02 © Jeffrey Mayer 2005-2007. All rights reserved. EE 365 Fall 2007 a b a I ~ a V ± c I ± b I ± c c V ± c V ± 1 = Z Y 2. 1 3 () na b c VV V V =+ + ±± ± ± 0 nb nc YV V +− = 1 3 211 333 aa n b c abc IY V V YV V V V =− + + =−− ± ± ± ±±± 121 bbca I + ± ± 112 ccab I = −−+ 21 1 33 3 12 1 3 11 2 3 bb cc I YY Y V I Y V I Y V ⎤⎡ −− ⎡⎤ ⎥⎢ ⎢⎥ ⎣⎦ ⎦⎣

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EE_365_200708FA_homework_02_solution - 1 Va a ~ Ia Z Ib b Z...

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