07-Circuit Theorems Examples

07-Circuit Theorems Examples - Network Theorems II: Big...

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Network Theorems II: Big Messy hevenin orton Example & Thevenin/Norton Example & Example of Utility of Equivalent Circuits © Fred Terry Fall, 2008 1
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Messy Example • Suppose we have our now familiar circuit but we add a Current Source load I L and we want to know V ab • Currently, our only choice is to do Nodal analysis again considering the added load resistor 1 Ω a + - 2V 2 Ω (3 Ω )i x i x + _ v y I L 9A (2 Ω -1 )v y 1 Ω 2 Ω I L 2 b
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Brute Force Solution 1 Ω a V 1 =2V V 2 Supernode + - 2V 2 Ω (3 Ω )i x i x + _ v y I L V 3 I L As messy as this looks, since have already done a 9A (2 Ω -1 )v y 1 Ω 2 Ω b V 4 full, serious nodal analysis, it just adds at term to the 2- Super ode KCL: 4 Super-node KCL: 2.5 2 32 1 22 2( 2 ) 3 11 2 L vv Vv v Vv I ⎛⎞ ⎜⎟ ⎝⎠ ++ + Ω = ΩΩ Ω The final Solutions are anged: () 41 6 23 L A I ⎡⎤ ⎢⎥ ⎣⎦ −− ⇒Ω + Ω = The Equation for node 3 is 6 2 8 5 15 L v A I v A = Ω changed: unchanged : A v v v V 9 1 3 2 5 . 2 2 3 2 = Ω + Ω 3 2 17 5 2 2.
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07-Circuit Theorems Examples - Network Theorems II: Big...

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