Find R3 for Max Power in Basic Circuit Question

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Discussion Overview

The discussion revolves around finding a resistance, RL, to replace R3 in a circuit to achieve maximum power transfer from the sources. Participants explore the application of Thévenin's theorem in this context, specifically focusing on the calculation of the Thévenin resistance.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant suggests that setting R3 to the Thévenin resistance (Rth) of the circuit would draw maximum power.
  • Another participant agrees that R3 should equal Rth and states that the 100Ω resistor is not part of the calculations.
  • A later reply questions the correctness of the calculations, noting that the book states the answer is 330Ω and suggests that the approach intended involves determining the Thévenin resistance of each source and adding them in series.

Areas of Agreement / Disagreement

There is some agreement that R3 should equal Rth for maximum power transfer, but there is disagreement regarding the specific calculations and the inclusion of the 100Ω resistor. The discussion remains unresolved regarding the correct value of R3.

Contextual Notes

Participants express uncertainty about whether the 100Ω resistor should be included in the calculation of Rth, and there are differing interpretations of the problem based on the textbook answer.

orangeincup
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Homework Statement


Find a resistance, RL, to replace R3, that will draw maximum power from the sources

Homework Equations


RL=RTH

The Attempt at a Solution


Am I correct in saying if I set R3 to be Rth of the whole circuit, it would draw maximum power?

I calculated based on that
1/(1/(120+680) +1/(820+330)) = 471.1 Ohm Rth

I am not sure if I should have included the 100Ohm resistor(R3) in the calculation or not.
 

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R3 = Rth should work.

The 100Ω is not part of these calculations.
 
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NascentOxygen said:
R3 = Rth should work.

The 100Ω is not part of these calculations.
My book ssys the answer is 330Ohm, did I do the calculation wrong?
 
My book ssys the answer is 330Ohm, did I do the calculation wrong?
The Thévenin resistance is a little over 330Ω so looks like that's the approach they intend.

Determine the Thévenin resistance of each source, then these are added in series.
 
Last edited:

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