Calculating Short Circuit Current with Node Equations

AI Thread Summary
The discussion revolves around calculating the short circuit current between terminals a and b in a circuit with a 3A current source and a 16 Ohm resistor. Participants are trying to determine how to express the current through the 16 Ohm resistor and incorporate it into their node equations. There is uncertainty about whether the short circuit current includes contributions from the 3A current source. The recommendation is to assume it does and to formulate the node equations accordingly to solve for the short circuit current. Accurate application of Kirchhoff's Current Law (KCL) is essential for finding the solution.
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Homework Statement


http://postimg.org/image/b8p4rszot/

There is a short circuit between the terminals a-b

Homework Equations





The Attempt at a Solution



so I found the node voltages at 1 and 2, but I don't know how to use these to get the short circuit current...
 
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princejan7 said:

Homework Statement


http://postimg.org/image/b8p4rszot/

There is a short circuit between the terminals a-b

Homework Equations





The Attempt at a Solution



so I found the node voltages at 1 and 2, but I don't know how to use these to get the short circuit current...

If the short circuit current is just the current that flows in the a-b wire when terminals a and b are shorted, it would look to inolve the 3A current source and the current through the 16 Ohm resistor...
 

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berkeman said:
If the short circuit current is just the current that flows in the a-b wire when terminals a and b are shorted, it would look to inolve the 3A current source and the current through the 16 Ohm resistor...

whats the current through the 16ohm resistor that enters terminal a? is it 3A?
 
princejan7 said:
whats the current through the 16ohm resistor that enters terminal a? is it 3A?

Beats me. Show us your KCL equations and your solution of them. We can check your work.
 
berkeman said:
Beats me. Show us your KCL equations and your solution of them. We can check your work.

http://postimg.org/image/4b0617wj1/

I tried writing KCL equation's at the nodes marked to solve for the short circuit current but they're incomplete since I don't know how to express the current through the 16 ohm resistor entering/exiting those nodes
 
princejan7 said:
http://postimg.org/image/4b0617wj1/

I tried writing KCL equation's at the nodes marked to solve for the short circuit current but they're incomplete since I don't know how to express the current through the 16 ohm resistor entering/exiting those nodes

I = V2 / 16 Ohms
 
berkeman said:
I = V2 / 16 Ohms

ok thanks

also, does the short circuit current through a-b include anything of the 3A current source?
 
princejan7 said:
also, does the short circuit current through a-b include anything of the 3A current source?
Yes, assume it does and proceed to form the node equations accordingly.
 
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