Need help finding node equations

  • Thread starter elec_eng
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In summary, the conversation is about finding node equations for voltages V1 and V3 in a circuit with resistors R1, R3, R4, and R5. The equations provided do not accurately describe the circuit, and further information is needed to properly determine the node voltages.
  • #1
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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  • #2
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!)
 
  • #3


This is what i tried!
(v1-v4)/R1+ (v1-v3)/R4=0
(v3-v2)/R4+ (v3-v1)/R3+ (v3-v4)/R5= 0
 
  • #4


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).
 
  • #5


I would recommend consulting a textbook or online resources on circuit analysis and node equations. These resources can provide step-by-step instructions on how to find node equations and solve for unknown voltages. Additionally, seeking assistance from a tutor or professor in the field of electrical engineering may also be beneficial in understanding and solving this problem. It is important to have a strong understanding of circuit analysis techniques in order to accurately solve for node voltages and effectively troubleshoot any issues in a circuit. Good luck with your problem!
 

1. What are node equations and why are they important in science?

Node equations are mathematical expressions used to represent the conservation of energy or charge at a specific point, or node, in a circuit or system. They are important because they allow scientists to analyze and understand the behavior of complex systems, such as electrical circuits, and make predictions about how they will behave under different conditions.

2. How do I determine the number of node equations needed for a specific system?

The number of node equations needed for a system depends on the number of nodes or junctions in the system. Each node will have its own equation, so the total number of equations needed will be equal to the number of nodes in the system. For example, if a circuit has 5 nodes, then 5 node equations will be needed to fully analyze the system.

3. Can node equations be used for systems other than electrical circuits?

Yes, node equations can be used for any system that involves the conservation of energy or charge. This includes mechanical systems, fluid flow systems, and even biological systems. The principles of node equations can be applied to any system that follows the laws of energy conservation.

4. What are some tips for solving node equations?

When solving node equations, it is important to first identify all the nodes in the system and assign each one a variable name. Then, write down the equations for each node using the conservation of energy or charge principle. Finally, solve the equations simultaneously to find the values of the variables and determine the behavior of the system.

5. Are there any software programs or tools that can help with solving node equations?

Yes, there are many software programs and tools available that can help with solving node equations. These include circuit simulation software, mathematical modeling software, and even online calculators. However, it is important to have a basic understanding of node equations and how to solve them manually before relying on these tools.

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