Engineering Find R3 for Max Power in Basic Circuit Question

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To achieve maximum power transfer in the circuit, the load resistance, RL, should equal the Thévenin resistance, RTH, of the entire circuit. The calculated RTH is approximately 471.1 Ohms, but the correct value according to the textbook is 330 Ohms. The 100 Ohm resistor (R3) should not be included in the RTH calculation. The proper approach involves determining the Thévenin resistance of each source and adding them in series. Therefore, setting R3 to the calculated RTH of around 330 Ohms will optimize power draw from the sources.
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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.
 
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