Maximizing voltage across a load resistor?

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Homework Help Overview

The discussion revolves around a loop circuit involving an input voltage V, a fixed resistor R, and a variable load resistance G. The original poster seeks to understand how to maximize the voltage drop across the load resistor and the current flowing into it, referencing Jacobi's law regarding power dissipation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between the load resistance G and the fixed resistance R, questioning how to formulate equations to maximize voltage and current. There is discussion about using the voltage divider equation and considerations of Kirchhoff's voltage law.

Discussion Status

The conversation includes various attempts to derive equations related to voltage and current in the circuit. Some participants suggest that maximizing G may increase the voltage drop, while others consider minimizing the total resistance for maximizing current. Guidance has been offered regarding the use of specific circuit configurations to achieve these goals.

Contextual Notes

Participants are working within the constraints of fixed values for V and R, with G being the only variable. There is some uncertainty about the implications of maximizing G and its effect on voltage and current.

Mugged
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Hey, so I have this loop circuit that has some input voltage V in series with a resistor with a resistance of R and another in series resistor that is my load resistance, let's call it G. V and R are not variables, only G is.

I know that because of Jacobi's law, to maximize the power dissipated by the load resistance, you have to have G = R.

But I'm wondering how i should maximize the voltage drop across the load resistor? I just can't figure out how to write an equation and go from there.

Also, how can i maximize the current going into the load resistor?

Please help,
Thanks
 
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Mugged said:
Hey, so I have this loop circuit that has some input voltage V in series with a resistor with a resistance of R and another in series resistor that is my load resistance, let's call it G. V and R are not variables, only G is.

I know that because of Jacobi's law, to maximize the power dissipated by the load resistance, you have to have G = R.

But I'm wondering how i should maximize the voltage drop across the load resistor? I just can't figure out how to write an equation and go from there.

Also, how can i maximize the current going into the load resistor?

Please help,
Thanks

What is the voltage divider equation? That is what you use to do what you are asking about.

Assuming that V and Rs are fixed, you maximize the output voltage with an ______ circuit, and maximize the output current (a different situation) with a _______ circuit.
 
You mean kirchhoffs voltage eqn?

Its V - IR - IG = 0

im starting to think that i can maximize the voltage drop on the load resistor G by maximizing the resistance of G though...still don't know if that's right.
 
The voltage drop across the load resistor is given by VG=VG/(R+G), to find the maximum value of this function find when the derivative equals zero, so when R/(R+G)2= 0, which is when G equals infinity...basically the bigger the resistance the bigger the voltage drop across it.. if I am understanding your question..now to maximize the current going into the load resistor, well I=V/(R+G)...what would give a maximum value for I if G is the only variable?
 
OH! so minimizing R+G for current..i see.

Thanks a lot guys.
 

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