Max power delivered to variable resistor

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SUMMARY

The discussion focuses on determining the maximum power delivered to a variable resistor R in a circuit, specifically referencing the Thevenin equivalent circuit method. Participants emphasize the importance of finding the Thevenin voltage (Vth) and Thevenin resistance (Rth) to apply the maximum power transfer theorem effectively. The solution involves shorting the voltage source to find Rth and using nodal analysis to calculate Vth, which was determined to be 30V. The final step is to apply the maximum power theorem formula to find the maximum power delivered to the resistor.

PREREQUISITES
  • Thevenin's Theorem
  • Nodal Analysis
  • Circuit Redrawing Techniques
  • Maximum Power Transfer Theorem
NEXT STEPS
  • Study Thevenin's Theorem in detail
  • Practice Nodal Analysis with various circuit configurations
  • Explore Maximum Power Transfer Theorem applications in different circuits
  • Learn about equivalent resistance calculations in complex circuits
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Electrical engineering students, circuit designers, and anyone involved in analyzing and optimizing power delivery in electrical circuits.

enian
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Homework Statement


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Determine the maximum power that can be delievered to the varaible resistor R in the circuit of Fig 4.139.


Homework Equations





The Attempt at a Solution



I am not sure how to handle this because the resistor is in that diamond structure. I need to find V thev and R thev Any advice or a hint to get started?
 
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To find R_{th}, short the voltage source. That means drawing a vertical line connecting the blue nodes in your 2nd diagram. Then you must find the equivalent resistance between the red nodes. You have to redraw the circuit in order to solve it easily.

Next to find V_{th}, from the original diagram find the open circuit potential difference across the red nodes with the voltage source added back in. That would be the thevenin voltage. You can use nodal analysis to solve this. I got 30V for this. Once you got both, you can use the formulae for the maximum power theorem to get the answer.
 

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