Calculating Short Circuit Current with Node Equations

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Homework Help Overview

The discussion revolves around calculating the short circuit current in a circuit with a short between terminals a and b. Participants are examining the implications of node voltages and current sources in the context of circuit analysis.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between node voltages and the short circuit current, questioning how to utilize these voltages in their calculations. There is an exploration of the role of a current source and a resistor in determining the current through the short circuit.

Discussion Status

Some participants have shared their attempts at writing KCL equations but express uncertainty about how to account for certain currents in their equations. Guidance has been offered regarding the assumptions to make about the current source in relation to the short circuit current.

Contextual Notes

There are indications of incomplete information regarding the current through the resistor and how it relates to the node equations being formulated. Participants are also navigating the constraints of homework expectations in their discussions.

princejan7
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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...
 

Attachments

  • PF Circuit 01.png
    PF Circuit 01.png
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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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