Alter resistance for max power dissipation?

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Discussion Overview

The discussion revolves around a circuit problem involving a 30V source and five resistors, specifically focusing on finding the power dissipated by one resistor (R2) and how altering its resistance value could maximize this power dissipation. The scope includes theoretical analysis and mathematical reasoning related to circuit behavior.

Discussion Character

  • Exploratory, Technical explanation, Mathematical reasoning

Main Points Raised

  • One participant describes the circuit configuration and the problem of maximizing power dissipation from R2, questioning whether the problem is poorly stated or if a solution exists.
  • Another participant requests clarification on the circuit layout, suggesting that a diagram would aid understanding.
  • A later reply advises performing calculations using R2 as a variable to derive an algebraic expression for power, recommending the use of calculus to find the optimal resistance value for maximum power.
  • One participant expresses gratitude and indicates understanding of the guidance provided.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the clarity of the problem statement, and there are varying levels of understanding regarding the approach to maximize power dissipation.

Contextual Notes

The discussion lacks a clear circuit diagram, which may lead to misunderstandings about the configuration. Additionally, the mathematical steps to derive the power expression and the conditions for maximizing it are not fully resolved.

Einar
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1. The problem
Given a circuit with a 30V source and five resistors. The circuit can be drawn as two boxes. Resistor 1 (R1 = 300ohm) is in series with the source. R2 (300ohm) in the middle of the two boxes, and the remaining resistors (550 ohm) in series at the other side of the box.

The problem states: Find the power dissipated from R2 and given the possibility to adjust R2 find the max power dissipated.
2. The attempt at a solution
I
have found the power dissipated from R2, however, how can i "alter" the value of R2 (from 300 to something else) to reach a max value for power dissipated? Is the question badly written or is there a way to find a max allowed power dissipation.
 
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What do you mean by boxes? It would be helpful if you drew the circuit diagram.
 
Einar said:
1. The problem
Given a circuit with a 30V source and five resistors. The circuit can be drawn as two boxes. Resistor 1 (R1 = 300ohm) is in series with the source. R2 (300ohm) in the middle of the two boxes, and the remaining resistors (550 ohm) in series at the other side of the box.

The problem states: Find the power dissipated from R2 and given the possibility to adjust R2 find the max power dissipated.
2. The attempt at a solution
I
have found the power dissipated from R2, however, how can i "alter" the value of R2 (from 300 to something else) to reach a max value for power dissipated? Is the question badly written or is there a way to find a max allowed power dissipation.
Hi Einar. :welcome:

Perform your calculations using "R2" as the value of that resistor, to determine its power (its voltage x its current) as an algebraic expression in terms of that pronumeral, R2.

Then sketch the equation and use calculus or otherwise to determine the value of R2 for which its power expression peaks.
 
Ok thanks I think i got it.
 

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