test2fa00_sols

test2fa00_sols - TEST 2 FALL 2000 A Mark and label nodes...

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TEST 2 FALL 2000 V S I S + V o - aV o + + R 2 R 2 V S = , I S = , a=5 R 1 R 1 A. Mark and label nodes and mesh currents 1 V 2 V 3 V 4 V G 1 I 2 I 3 I B. Number of independent node and loop equations 3 # ; 4 # 5 7 = = = = eq loop eq node nodes components S V V V = 1 1 : @ C. Write all the necessary equations to solve by node analysis 0 : @ 1 3 2 2 2 1 1 2 2 = + + S I R V V R V R V V V 0 : @ 2 4 3 1 2 3 3 = + + S I R V V R V V V 0 4 4 : @ aV V V = Controlling variable: 2 1 0 V V V = D. Write all necessary equations to solve by mesh/loop analysis (since we are asked for mesh currents, we use mesh analysis) 0 ) ( : 1 3 1 2 1 1 = + + I I R I R V Loop S Constraint due to shared current S I I I = 3 2 Super mesh 0 ) ( 1 3 2 0 3 2 2 1 = + + + I I R aV I R I R Controlling variable 1 1 0 I R V = = + 0 2 1 1 0 0 3 2 1 2 1 2 1 2 2 1 S S I V I I I R R R aR R R R R 1 2 2 4 4 R 2 4 4 2 2 a 5 5 5 5 V s 12 6 12 6 Is 6 12 9 12 I1 0.857 - 0.43 0.286
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