Elec Class

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Solved exercise · level 3 of 5

Resistance of a wire

Skills: Calculate

Statement

A copper wire (ρ = 1.7 × 10⁻⁸ Ω·m) is 500 m long with a cross-section of 4 mm². Compute its resistance.

l = 500 m · S = 4 mm²

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

Guided problem in 4 steps: unknown, formula, units, data, result.

1 hint from Bastaya available in the lab
Solution

S = 4 mm² = 4 × 10⁻⁶ m²; R = ρ·l/S = 1.7 × 10⁻⁸ × 500 / (4 × 10⁻⁶) = 2.13 Ω.

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.

Shortcuts

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C
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