How Do You Calculate Net Resistance in a Triangular Network?

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SUMMARY

The net resistance in a triangular network can be calculated using the formulas for resistors in series and parallel. For the case where R = R', the net resistance between points a and c is determined by considering multiple paths, leading to a more complex calculation than simply R. When R' is set to 2.5R, the resistance between points a and b also requires careful analysis of the network configuration. The discussion emphasizes the importance of illustrating problem-solving attempts to facilitate better assistance.

PREREQUISITES
  • Understanding of Ohm's Law and basic circuit theory
  • Familiarity with series and parallel resistor configurations
  • Knowledge of equivalent resistance calculations
  • Ability to interpret circuit diagrams
NEXT STEPS
  • Study the calculation of equivalent resistance in complex resistor networks
  • Learn about the application of Kirchhoff's laws in circuit analysis
  • Explore advanced techniques for simplifying resistor combinations
  • Investigate the impact of varying resistor values on total resistance
USEFUL FOR

Students studying electrical engineering, circuit designers, and anyone interested in mastering resistor network calculations.

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Homework Statement


Assuming R = R' in the network shown above, determine the net resistance between the points a and c. Express your answer as a number times R.
b. Assuming R = R', determine the net resistance between the points a and b.
c. Now suppose R' = 2.5R, and find the net resistance between points a and b.
P26_36.jpg

Homework Equations


Req=R1+R2+R3
For resistors in series

1/Req= 1/R1+1/R2+1/R3
For resistors in parallel

The Attempt at a Solution


I tried to redraw the circuit, but I'm not sure I did it right. Also, I would think that the resistance would just be R because there is only one resistor from a to c, but that seems too easy. Any help would be appreciated.
 
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The answer is not R as there is certainly more than one path from a to c. You really should show at least some of your attempt(s) even if they didn't pan out, and not just say that you tried this or that. We need to see how you've approached the problem in order to know how best to help.

See the thread: Combining Resistors
 

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