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C8-activities - ACTIVITY 8-1 Use mA k and V vs 5 k v1 vs 10...

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1 ACTIVITY 8-1 s v 5 k Ω 10 k Ω 2 k Ω 1 k Ω x i x 6i 4 Nodes 1 Voltage Source 1 (Ref) 2 Unknown Node Voltages 0 s v 1 v 2 v Use mA, k , and V Ω ACTIVITY 8-1 s v 5 k Ω 10 k Ω 2 k Ω 1 k Ω x i x 6i Step 1: Find Constraint Equation 0 s v 1 v 2 v x 1 2 Need to Relate i to v , v ACTIVITY 8-1 s v 5 k Ω 10 k Ω 2 k Ω 1 k Ω x i x 6i s 1 x v v Ohm's Law: i 5 = 0 s v 1 v 2 v x s 1 6i 1.2v 1.2v = ACTIVITY 8-1 s v 5 k Ω 10 k Ω 2 k Ω 1 k Ω x i x 6i 0 s v 1 v 2 v 1 1 s 1 2 1 x KCL at Node v : v v v v v 6i 0 5 10 2 + + + = ACTIVITY 8-1 s v 5 k Ω 10 k Ω 2 k Ω 1 k Ω x i x 6i 0 s v 1 v 2 v 2 2 2 1 x KCL at Node v : v v v 6i 0 1 10 + = ACTIVITY 8-1 2 1 2 x 1 1 Node v : v ( ) v (1 ) 6i 10 10 + + = s 1 1 2 x v 1 1 1 1 Node v : v ( ) v ( ) 6i 5 10 2 10 5 + + + = [ ] G Matrix is Still Symmetric x But Right Hand Side Contains i
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