What is the maximum power transfer equation?

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Discussion Overview

The discussion revolves around finding the maximum power transfer to a load resistor (Rl) in a given circuit. Participants are exploring the theoretical approach to derive the maximum power transfer equation without knowing the specific value of Rl.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant asks how to determine the maximum power transferred to Rl without knowing its value.
  • Another participant suggests writing the circuit equation for power as a function of Rl, differentiating it, and setting the derivative to zero to find the optimal Rl.
  • A participant expresses difficulty in applying the suggested method and requests the specific equation needed for the calculation.
  • Another participant reiterates the need for the original poster to show their equation and reasoning to identify any errors, while also asking about the current through Rl and the voltage across it, noting that both are dependent on Rl.

Areas of Agreement / Disagreement

There is no consensus on the specific equation or method to use, and participants are expressing differing levels of understanding and clarity regarding the approach to the problem.

Contextual Notes

Participants have not provided specific equations or values, and the discussion lacks detailed assumptions about the circuit configuration or parameters that may affect the power transfer analysis.

qwerty321
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hello!well i have the exercice below(attachement) and i need to find the maximum power transferred to Rl..how can i do this without even knowing the value of Rl?
thank you
 

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Write the circuit equation for the power with Rl as an unknown. Then differentiate the equation wrt Rl and equal it to zero. The value found for Rl is the one that maximizes the power transfer.
 
it is not working..can u please tell me the equation?
 
qwerty321 said:
it is not working..can u please tell me the equation?

According to the rules of the forum you must show your equation and how you got it. Then we can say where you did wrong.
Anyway, What is the current through Rl? What is the voltage across it?
Both the current and the voltage are functions of Rl.
 

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