Determine Resistances in the Circuit

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Discussion Overview

The discussion revolves around determining branch currents in a circuit configured for maximum power transfer, involving concepts of resistance in series and parallel, as well as the application of Thevenin's Theorem. The scope includes theoretical and practical aspects of circuit analysis.

Discussion Character

  • Homework-related
  • Technical explanation
  • Exploratory

Main Points Raised

  • One participant asks for help in determining branch currents in a circuit for maximum power transfer.
  • Another participant suggests simplifying the circuit by combining resistors in series and parallel, mentioning the rules for calculating equivalent resistance.
  • A participant reports calculating the combined resistance of three resistors in parallel as 12 Ohms but expresses uncertainty about proceeding without knowing the value of R1.
  • There is a mention of the maximum power transfer theorem, indicating that the load resistance should match the source resistance, and a suggestion to use Thevenin's Theorem to convert the current source to a voltage source.

Areas of Agreement / Disagreement

Participants express differing levels of understanding regarding the application of Thevenin's Theorem and the maximum power transfer theorem. The discussion remains unresolved as participants seek clarification and further assistance.

Contextual Notes

Some assumptions about the values of resistances and the configuration of the circuit are not explicitly stated, which may affect the analysis. The discussion does not resolve the uncertainty regarding the value of R1.

Kobayashi
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A current is driven from a current source as shown attached. Determine the branch currents if the circuit is configured for maximum power transfer.

Does anyone know how to solve this problem. Any help will be greatly appreciated. Thanks
 

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YOu just have to replace groups of resistors with a single value.
Do you know the rules for resitance in series and parallel ?

Work out the combined resistance of the three in parallel ( 16 60 240 ) and draw them as a single resistor 'A'.
Then work out the resistance of 'A' and R1 in series - redraw that as a single resistor 'B'
The you just have the other R16 and B in parallel, work out the resistance of this and then use V = I R
 
Okay, I got the combined resistance of the three in parallel, 12V. How do you continue if you don't know R1. Thanks for your help.
 
Kobayashi said:
Okay, I got the combined resistance of the three in parallel, 12V. How do you continue if you don't know R1. Thanks for your help.

I take it that you mean the 3 resistors in parallel amount to 12 Ohms.

Do you understand the maximum power transfer theorem? It says for max power transfer to occur, the load resistance must match that of the source. Use Thevenin's Theorem to convert the current source to a voltage source. Then you have to choose R1 to match the source resistance.
 

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