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Solved exercise · level 2 of 5

Resistive wire on AC

Skills: Calculate

Statement

Compute the voltage across a resistive wire carrying an AC current of 3 A, given that it is 628 m long, 1.6 mm in diameter and has a resistivity of 0.1 Ω·mm²/m.

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

2 hints from Bastaya available in the lab
Solution

R = ρ·l/S = 31.2 Ω; pure resistance: U and I in phase, U = R · I = 31.2 × 3 = 93.7 V.

Course sheet of the chapter : RLC circuits

This chapter is covered by the paths: General electricity, 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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