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Unformatted text preview: Node Voltage Technique Of Circuit Analysis DePiero EE 201 Learning ObjecBves • Analyze circuits containing both independent and dependent sources using node voltage analysis. • Notes: – Systema,c approach, should work with any circuit. – Nodal analysis yields a set of simultaneous equa,ons from which unknown current and voltages may be found. – Dependent sources will not be addresses ini,ally ‘Node Voltages’ Are Expressed
With Respect to a Reference Node
• As a node voltage, “V2”is with respect to the ground (reference) node. • Any node may be used as the reference node. (If ground is indicated, simply use it.) • Analogy: Gauge pressure measurements with respect to ambient. Another Key Concept
For Nodal Analysis
• Given node voltages V2 and V3 • For KCL we wish to sum a current (I) into Node 3… • Which is the high voltage side of the resistor, necessary to push current in the given direcBon? V2 • Hence: € V2 − V3
I=
R Procedure: Node Voltage Analysis • 1) Deﬁne reference node (‘Ground’) • 2) IdenBfy (unknown) node voltages V1, V2, V3… Deﬁne a current, Ia, through each voltage source – pick direcBon (remains constant through analysis). • 3) Apply KCL at each node except ground. Express each KCL current in terms of one or more node voltages. Choose the direcBon of the current in each branch arbitrarily – then use the passive sign convenBon when ﬁnding currents. • 4) Solve KCL equaBons simultaneously, to ﬁnd node voltages. • 5) If voltage sources are present add an equaBon relaBng node voltages to the voltage of the source. • 6) If dependent sources are present, add another equaBon based on the deﬁniBon of the dependent source. ...
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This note was uploaded on 10/24/2011 for the course EE 251 taught by Professor Arakaki during the Spring '08 term at Cal Poly.
 Spring '08
 ARAKAKI
 Volt

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