Using the maximum power transfer theorem

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To apply the maximum power transfer theorem, the resistance R must equal the Thevenin resistance R_th for optimal power delivery. The maximum power can be calculated using the formula P_max = (V_oc)^2 / (4 * R_th). To find the Thevenin equivalent, one typically removes the load resistor and calculates the open-circuit voltage (V_oc) and Thevenin resistance (R_th). The discussion highlights confusion about starting the process of finding the Thevenin equivalent and solving for R. Understanding these steps is crucial for successfully applying the theorem.
Amphimos
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Homework Statement


Using the maximum power transfer theorem, find the value of R which will result in the maximum power being delivered to R.

155Vbe1.png


Homework Equations


P_max= (V_oc)^2/4(R_th))
R_L=R_th
P_RL=(V_th/(R_th+R_L))^2*R_L

The Attempt at a Solution


I have no clue where to even begin with changing this circuit to its Thevenin equivalent. I feel like there are 2 unknowns here (power and resistance) and I don't even know where to get started with trying to solve for R.
 
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Amphimos said:

Homework Statement


Using the maximum power transfer theorem, find the value of R which will result in the maximum power being delivered to R.

155Vbe1.png


Homework Equations


P_max= (V_oc)^2/4(R_th))
R_L=R_th
P_RL=(V_th/(R_th+R_L))^2*R_L

The Attempt at a Solution


I have no clue where to even begin with changing this circuit to its Thevenin equivalent. I feel like there are 2 unknowns here (power and resistance) and I don't even know where to get started with trying to solve for R.
What is the usual procedure for finding a Thevenin equivalent?
 

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