Equivalent Resistance of Parallel Resistors

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SUMMARY

The discussion focuses on calculating the equivalent resistance of parallel resistors using a complex formula, specifically for ##n## resistors. The formula presented is: $$R_{total}=\frac{\prod_{i=0}^{n-1} R_{i}}{\sum_{i=0}^{n-1}(\prod_{j=0}^{n-2} R_{i+j \mod n})}$$. While this method is unconventional and more complex than traditional approaches, it highlights the importance of understanding various calculation methods. A parallel resistance calculator from All About Circuits is recommended for practical use.

PREREQUISITES
  • Understanding of electrical resistance and Ohm's Law
  • Familiarity with parallel resistor configurations
  • Basic knowledge of mathematical notation and operations
  • Experience with programming concepts for implementing formulas
NEXT STEPS
  • Research the traditional method for calculating equivalent resistance in parallel circuits
  • Explore the use of the parallel resistance calculator on All About Circuits
  • Learn about the implications of resistor values on circuit performance
  • Investigate programming techniques for automating resistance calculations
USEFUL FOR

Electronics enthusiasts, electrical engineers, and programmers interested in circuit design and analysis will benefit from this discussion.

archaic
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I did this for fun, if you want to do it in an unconventional way, this would be useful in programming.
For ##n## resistors in parallel:
$$R_{total}=\frac{\prod_{i=0}^{n-1} R_{i}}{\sum_{i=0}^{n-1}(\prod_{j=0}^{n-2} R_{i+j \mod n})}$$
 
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archaic said:
, this would be useful in programming.
too complex compared to the more simple and conventional way
 
... or use this. There is no need to re-invent the wheel.

https://www.allaboutcircuits.com/tools/parallel-resistance-calculator/

Zz.
 

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