Engineering How to Correctly Solve a Circuit Analysis Homework Problem?

AI Thread Summary
The discussion focuses on solving a circuit analysis homework problem involving node labeling and resistor configuration. The original poster redrew the circuit but incorrectly placed the series resistors and eliminated a shorted resistor, leading to an incorrect equivalent resistance calculation of 10.56 ohms. Another participant pointed out that the redrawn circuit did not accurately preserve all node connections, which contributed to the confusion. They clarified that the short circuit impacts the connections between resistors, leading to a different equivalent resistance of 16 kilo-ohms. The exchange highlights the importance of accurately redrawing circuits to maintain correct node relationships for proper analysis.
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Homework Statement


http://puu.sh/1faG5

Homework Equations


The Attempt at a Solution


http://puu.sh/1faFD

I labelled the nodes ^^.

I redrew the circuit based on the nodes, I ignored the 10 ohm resistor because it short circuits. (Note: I drew the series resistors in reverse order, 80 ohms should be between Node A and Node B, instead, I drew it between B&C. However, the result should be the same.)

http://puu.sh/1faFh
Based on this, the resistance is:
20 || 30 || (80+8)

Req = 10.56 ohms.

But that is not the answer, I'm not sure where I am going wrong, could someone please help me out please. Thanks a lot! Exam tomorrow :(
 
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In your second drawing you have NODE C directly connected to terminal B. This is not how it is in the original drawing. I think you need to think a little more about how to redraw the circuit so that all the nodes and connections are preserved.

Eliminating the 10k resistor is fine; as you say, it's shorted out. The same short puts the top of the 20k resistor in contact with the bottom of the 30k resistor...
 
I got 16 kilo-Ohms, I think I understand what mistake I made now. I didn't follow the current from the negative terminal, I was just trying to make them connect. Makes sense now. :) THanks
 

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