Making a fomula to calculate the max power (electricity)

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SUMMARY

This discussion focuses on deriving a mathematical formula for maximum power in electrical circuits, specifically using the equations U = R * I and Up = -ri * I + U0. The formula for power is expressed as P = I · (-ri · I + U0), which simplifies to P = -ri · I² + U0 I. The conversation emphasizes the importance of understanding circuit analysis to effectively apply these formulas.

PREREQUISITES
  • Understanding Ohm's Law (U = R * I)
  • Familiarity with power calculations in electrical circuits
  • Knowledge of circuit analysis techniques
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the concept of maximum power transfer theorem in electrical engineering
  • Learn about circuit analysis techniques using Kirchhoff's laws
  • Explore the implications of resistance (ri) on power calculations
  • Study the relationship between voltage (U) and current (I) in various circuit configurations
USEFUL FOR

Students in electrical engineering, circuit designers, and anyone involved in analyzing or optimizing power in electrical circuits.

Tqooa Ez

Homework Statement


Show how you can make a mathematic formula for maximum power, by using the other formulas.
I think, that U is maybe called V in English.

Homework Equations



U= R*I
Up = -ri *I+U0

The Attempt at a Solution


[/B]
P=I·(-ri·I+U0)P= -ri·I2+U0 I


 
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Hi Tqooa Ez,

Welcome to Physics Forums!

Tqooa Ez said:

Homework Statement


Show how you can make a mathematic formula for maximum power, by using the other formulas.
I think, that U is maybe called V in English.

Homework Equations



U= R*I
Up = -ri *I+U0

The Attempt at a Solution


[/B]
P=I·(-ri·I+U0)P= -ri·I2+U0 I

Can you give some more context to the problem? Is there a particular circuit involved? (I'm assuming that this is a circuit analysis problem given the names of the variables that you've mentioned). A circuit diagram would be welcomed.
 

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