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21 The Node Method

# 21 The Node Method - ECE 110 M-C Brunet Node method Handout...

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ECE 110 M.-C. Brunet Node method Handout 21

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ECE 110 M.-C. Brunet Node method Handout 21 Electrical Circuits Analysis: The Node Method Also called nodal analysis () Example 1 : Solve the circuit 5A 2 Ω I 1 I - + - 4 Ω 22V 2 + V 2 +V 1 - I 1 = V 1 =I 2 = V 2 = We need __________ linear equations!! Ohm’s law VL KVL KCL M.-C. BRUNET ECE 110 UIUC 21.1 Electrical Circuits Analysis : The NODE METHOD (or nodal analysis) Analysis : Find current through and voltage across each element. E k +V k - k = 1, …, b (b elements total) I k Assume : Linear circuits only with Ideal Sources (V,I) esistances with known values Resistances Basic circuit laws : KCL, KVL, Ohm linear equations Use basic laws (all!) in any order to find (V k , I k ) for k = i, …, b Or use (all) basic laws in one particular M.-C. BRUNET ECE 110 UIUC 21.2 order : this is the NODE METHOD
ECE 110 M.-C. Brunet Node method Handout 21 Recall : Any voltage in a circuit can be expressed in terms of the node voltages: +V k - V E k V k = V A - V B A B (This is actually one application of KVL) The node method: find linear equations in terms of the node voltages A circuit with n nodes n node voltages g If one node = ground (Vnode = 0) (n-1) unknown node voltages we need (n-1) indep. Linear eq.

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21 The Node Method - ECE 110 M-C Brunet Node method Handout...

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