Alter resistance for max power dissipation?

AI Thread Summary
The discussion focuses on maximizing power dissipation in a circuit with a 30V source and resistors, particularly R2, which is initially set at 300 ohms. Participants explore how to adjust R2 to achieve maximum power dissipation, with one suggesting the use of algebraic expressions to represent power in terms of R2. Calculus is recommended to find the optimal value for R2 that maximizes power. Clarification on circuit layout and terminology, such as "boxes," is also sought. The conversation emphasizes the importance of proper calculations and understanding circuit dynamics for effective power management.
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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