Mathematical Problems

Replacement Resistance ★

Here is a little problem from the physical/electro-technical area. Only basic knowledge about electricity and resistance is required, like:

  • The replacement resistance of two serial-connected resistances
    Puzzle
    is 2 Ohm (Rreplacement = R1 + R2, where R1 = R2 = 1).
  • The replacement resistance of two parallel-connected resistances
    Puzzle
    is ½ Ohm (1 / Rreplacement = 1 / R1 + 1 / R2, where R1 = R2 = 1).

The question: What is the replacement resistance of the circuit below?

Puzzle

A hint : Click here!

The solution: Click here!