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lecture06

# lecture06 - Σ(conductance i entering node X • v i other...

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EE 205 Coifman 6-1 Node voltages: + + - - + v A v B v C v A v B v C Notation Interpretation

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EE 205 Coifman 6-2 If the Kth two-terminal element is connected between nodes X and Y, then the element voltage can be expressed in terms of the two node voltages as v k =v x -v y where X is the node connected to the positive reference for element voltage v k v A v B v A v B v 1 v 1 + - - + Case A Case B
EE 205 Coifman 6-3 Node Voltage Method 1) select a reference node for ground, assign a node voltage to all other nodes and a current through every element. 2) write node equations via KCL 3) element equations (using conductance) currents. In the process, reorder node equations to put all dependent values on LHS and independent values on RHS 5) solve for node voltages using linear algebra (you should know how to do this, see appendix B for a refresher)

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EE 205 Coifman 6-4 Did somebody say example? i 0 i S R 1 R 3 R 2 i 1 i 3 i 2 v A v B
EE 205 Coifman 6-5 Making things quicker. .. Replace steps 2-4 with modified step 2: v X (sum of all conductances entering node X) -

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Unformatted text preview: Σ (conductance i entering node X) • v i + other currents = 0 where v i is the node voltage on the opposite side of the i-th resistor entering node X EE 205 Coifman 6-6 Oh what I’d give for an example. .. i S1 i S2 v A v O v B-+ 2 k Ω 1 k Ω 500 Ω EE 205 Coifman 6-7 But what about voltage sources? method 1: convert to current source method 2: set ground at one end of voltage source. Now v A ≡ v S may not be able to do this for all voltage sources in a circuit method 3: Super node: apply KCL to region and note that v A-v B =v S +-+-+-v A v B R S v S v S R S v A v B R S v A v C v B v S v A v B v S Rest of the circuit Rest of the circuit Rest of the circuit Rest of the circuit Method 1 Supernode Method 2 Method 3 EE 205 Coifman 6-8 v O-+ R 3 R 1 R 2 v S1 v S2 +-+-EE 205 Coifman 6-9 +-+-v A i 2 i 1 R 1 R 2 R 3 i 3 v B v C v S1 v S2 i 4 R 4 D + v O-...
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lecture06 - Σ(conductance i entering node X • v i other...

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