How do I calculate the equivalent resistance for this circuit?

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SUMMARY

The discussion focuses on calculating the equivalent resistance of a circuit involving resistors R1, R2, R3, R4, R5, R6, R7, R8, and R9. The process begins by combining resistors R4 and R5 in series to form R45, and resistors R6 and R7 to form R67. These combined resistors are then treated as parallel components with R8 and R9, respectively, leading to the formation of Ra and Rb. Finally, the overall equivalent resistance (Req) is calculated by adding R1, the combined group of resistors, and R3.

PREREQUISITES
  • Understanding of series and parallel resistor combinations
  • Familiarity with delta (Δ) to Y transformation techniques
  • Basic knowledge of circuit analysis principles
  • Ability to interpret circuit diagrams
NEXT STEPS
  • Study the application of delta (Δ) to Y transformations in circuit analysis
  • Practice calculating equivalent resistance in complex circuits
  • Explore advanced circuit analysis techniques, such as Thevenin's and Norton's theorems
  • Review resistor color coding and values for practical applications
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This discussion is beneficial for students in introductory circuit courses, particularly non-electrical engineering majors, as well as anyone looking to enhance their understanding of resistor combinations and circuit analysis techniques.

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I'm in a intro to circuits class for non-EE majors. One of the homework problems asks for the equivalent resistance.

See the attached file for a picture of this system.

I know the first step is to add resistors R4 and R5 (in series) as well as add resistors R6 and R7 (in series). But after that I'm stuck. I think I have to apply a delta (triangle) to Y transformation but I'm not sure how to proceed with it. Any help would be greatly welcomed.

P.S. Please don't tell me the rules for series and parallel circuits. I know what the are I just don't know which resistors to combine in this example.
 

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I don't see how a delta y transformation would help you much. I would just start grouping resistors, R4 and R5, then R45 and R8, then the same thing on the bottom, etc.
 
Resistors which are end-to-end can be combined as one in series, e.g. R45 = R4 + R5 and R67 = R6 + R7, as StatusX mentioned.

Resistors (or group) which share common nodes or junctions are combined in parallel.

Thus R45 is parallel with R8 giving Ra, and R67 is parallel with R9 giving Rb.

Then Ra and Rb are in series because they are end to end.

Rab is then in parallel with R2,

and the whole group (Rgroup) is in series with R1 and R3.

Req should have the form R1 + Rgroup + R3.
 

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