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Solved exercise · level 3 of 5

Three identical resistors, one value to reach

Skills: Build, Analyse

Statement

With three 220 Ω resistors (do not change their value), build on G a group whose equivalent resistance is 147 Ω (within 2 %). The Measurements panel shows Req.

Parametric exercise: the values change with every draw; these are one example.

2 hints from Bastaya available in the lab
Solution

With r = 220 Ω: 3r = 660, r + r/2 = 330, (2r)·r/(3r) = 146.7 and r/3 = 73.3 Ω. The target 147 Ω corresponds to the watermarked circuit.

Course sheet of the chapter : Resistor networks

This chapter is covered by the paths: ISL-oriented exercises

Other exercises of the chapter

Simulated time00:00:00
Q = I·t-
W = P·t-

Circuit diagram CEI 60617

How does it work?

Each big hole is a circuit node: you push one leg of a component into it. The 4 small holes around it are connected to it: chips and leads plug in there.

  1. Place a component Drag it from the palette: it snaps onto the grid. R rotates it.
  2. Bridge neighbouring holes Pick the jumper chip (or C) and drag on the board: bridged holes become a single node.
  3. Draw a lead For long links and the power supply: from one big hole to another, or to a terminal.
  4. Close the loop The circuit is solved live (Ohm, Kirchhoff) and the diagram follows.

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