Need help finding node equations

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The discussion focuses on finding node equations for voltages V1 and V3, specifically leaving R3 as a variable. The user initially presents two equations but receives feedback indicating that these equations do not accurately represent the circuit. Participants emphasize the importance of correctly identifying the paths and nodes in the circuit to formulate the equations properly. Clarifications are made regarding the connections and resistors involved, particularly pointing out that R5 does not connect to NODE 3. Accurate identification of nodes and paths is crucial for deriving the correct node equations.
elec_eng
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Need help finding node equations!

[url=http://www.0zz0.com][PLAIN]http://www11.0zz0.com/2012/02/22/06/267083816.jpg[/url][/PLAIN]

I need to find the node equations for node voltages 1 and 3 to find voltages V1 and V3 leaving R3 as a variable!

hope to get help soon!
 
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welcome to pf!

hi elec_eng! welcome to pf! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:

(btw, please don't post such wide pictures!)
 


This is what i tried!
(v1-v4)/R1+ (v1-v3)/R4=0
(v3-v2)/R4+ (v3-v1)/R3+ (v3-v4)/R5= 0
 


elec_eng said:
This is what i tried!
(v1-v4)/R1+ (v1-v3)/R4=0
(v3-v2)/R4+ (v3-v1)/R3+ (v3-v4)/R5= 0

Those equations don't appear to match the circuit. Perhaps you're not correctly identifying everything that comprises the individual nodes? Presumably the first equation is supposed to pertain to NODE 1? If so, what path does the second term describe? Where is the path from NODE 1 to NODE 2?

If the second equation pertains to NODE 3, then the last term is incorrect; it describes a path from NODE 3 to NODE 4 via resistor R5, but this path doesn't exist. Resistor R5 terminates at NODE 0 (Ground).
 

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