I am working on a circuit analysis problem where I need to determine the current flowing through resistor R6 using Norton's Theorem. Using the Delta-Y (Δ-Y) transformation method, I have determined the Norton equivalent resistance (Rₙ) to be 3.75 kΩ. But after a week of effort, I am still unable to proceed further. I would greatly appreciate any guidance or assistance in resolving this issue.

 

Hi mat,
Welcome to AAC.
As this is homework, please post your best attempt at answering, we can then help you.
E

 

It's going to be a bit hard for anyone to help you resolve whatever issue has caused you to get stuck after a week's effort when you don't show any it.

Your Norton equivalent resistance is correct. Note that while performing a delta-wye transformation is completely valid -- and more general -- in this case the result could be determined pretty much by inspection by noting that, by symmetry, the resistor R3 has not effect on the equivalent resistance, leaving you with 10 kΩ in parallel with 6 kΩ.

You might start by forgetting about Norton's Theorem for the moment and just solve the circuit using any of the analysis techniques you've already learned, such as mesh, nodal, or superposition.

 

Hi mat,
Welcome to AAC.
As this is homework, please post your best attempt at answering, we can then help you.
E

Hi E,
Thank you! I understand—in the future, I’ll be sure to post my best attempt first.

Just wanted to share that I shorted R6 and used the Mesh Current Method to find the Norton current (Iₙ). Everything checked out, and I was able to solve the problem successfully.

Thanks again for your help!