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Infinite Series-Parallel Connection Of Equal Resistances

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Infinite Series-Parallel Connection Of Equal Resistances
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The circuit is a truncated iteration of infinitely long series-parallel connection of equal resistances. As more sections are added the total resistance of the ladder approaches the golden ratio (1 + √5) / 2 Ω = 1.6180339887498948482045868343656 Ω.

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GGoodwin

1116 Circuits

Date Created

7 years, 6 months ago

Last Modified

3 years, 11 months ago

Tags

  • iterated l network
  • series-parallel circuit
  • series-parallel resistors
  • series-parallel connection
  • infinitely iterated l network
  • infinite series-parallel network
  • inverted l ladder
  • fibonacci series
  • golden ratio
  • fibonacci numbers

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