Why Does the Maximum Power Transfer Theorem Yield a Negative Resistance?

AI Thread Summary
The discussion revolves around the application of the Maximum Power Transfer Theorem in a circuit involving a 6-ohm resistor. The user attempted to find the value of resistance (r) that would allow the 6-ohm resistor to consume maximum power, leading to a calculation that resulted in a negative resistance value. Participants emphasized the importance of correctly determining the Thevenin equivalent resistance across the 6-ohm resistor, noting that maximum power transfer occurs when the load resistance equals the source resistance. The conversation suggests that the issue may stem from misunderstanding the circuit configuration or the theorem itself. Clarification on the circuit diagram and proper context is recommended for accurate analysis.
prashantgolu
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i was solving one question...it said find out value of r in a circuit so that the 6 ohm resistor consumes maximum power...i applied max power theorem ...and calculated the thevenin eqivalent resistance accrss 6 ohm resistance...and put it equal to 6...but the r cam eout to be negative...so wat to conclude from this...
 
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It would help if you posted a diagram of the circuit in question. If this is an ideal source in series with a source resistance and the 6 ohm resistor, then this question is best answered by thinking about the following question:

What is the max power transfer theorem?

I suspect a Mod will be by shortly to move this question, but homework questions like these should be posed in the Homework section:
https://www.physicsforums.com/forumdisplay.php?f=152
 
yes...its just an ideal source...some resistances and a 6 ohm resistance...i just removed it and found out thevenin equivalent across its terminals...and compared it to be 6 for max theorem..i am attaching a file
 

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As you surmise, max power transfer happens when the load resistance is equal to the source resistance. Have you determined the Thevenin equivalent of the circuit connected to the 6 ohm resistor (i.e. everything to the left of that resistor)?
 

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