What is the maximum power of the variable resistor R?

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Homework Help Overview

The discussion revolves around a circuit problem involving a variable resistor R and two parallel 10Ω resistors, focusing on power dissipation and the conditions for maximum power transfer.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the value of R for specific power dissipation and seeks help for maximizing power. Participants question the power dissipation in R as a function of R and inquire about methods for finding maximum values.

Discussion Status

The discussion is ongoing, with some participants providing guidance on exploring power functions, while others express uncertainty about the concepts involved. There is no explicit consensus yet on the approach to part (b).

Contextual Notes

The original poster indicates a lack of familiarity with the topic, which may affect the depth of the discussion. There is also a mention of homework constraints that may limit the information shared.

headshrinker
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Homework Statement



(a) For the circuit below, the value of R is adjusted so that each of the two 10Ω resistors dissipates 10W. Calculate the value of the variable resistor R.

(b) What is the value of R if it is adjusted to dissipate the maximum power possible? For this value of R, determine the current through the resistor R and through each of the parallel 10Ω resistors.

Homework Equations





The Attempt at a Solution



I've done part (a) and found the value of R to be 2.5ohms. i have no idea how to do part (b). can anyone help?!

Thank you!
 

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If you know what R is, what is the power dissipated in this resistor? (as a function of R)
do you know any method for finding the maximum value of a function?
 
i have no idea! I am new to this stuff! do u know?

thanks!
 
anyone?
 

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