Labo Élec

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Exercise from the chapter "AC power"

Powers of a coil

Level 3 of 5 · Skills: Calculate

Statement

A coil of resistance R = 20 Ω and inductance L = 100 mH is supplied at 230 V, 50 Hz. What apparent, active and reactive powers does it absorb?

Apparent power S = U · I.

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

1 hint from Bastaya available in the lab
Solution

L·ω = 31.4 Ω; Z = 37.2 Ω; I = U / Z = 6.18 A; S = U · I = 1420 VA; P = R · I² = 763 W; Q = L·ω · I² = 1200 var; check: S = √(P² + Q²).

Course sheet of the chapter : AC power

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-

Workbench

Circuit diagram CEI 60617

How does it work?

The perfboard: each big hole is a circuit node. You push a single leg of a component (resistor, lamp...) into it. The 4 small holes around it are connected to it: that is where chips and leads plug in.

  1. Drag a component onto the board: it snaps onto the grid. R rotates it.
  2. To join neighbouring big holes, click Jumper chip in the palette (or C) then drag on the board: a line of chips is laid at once. Bridged holes become a single node.
  3. For long links and for the power supply (placed next to the board), drag a lead from one big hole to another (or to a terminal).
  4. As soon as a loop is closed, the circuit is solved in real time (Ohm + Kirchhoff) and the diagram follows.
  5. Zoom with the wheel (or + / −, two-finger pinch); drag the background to pan, 0 fits the board. The + buttons around the board add a row or a column.

Del delete · R rotate · C chip brush · Esc cancel · wheel zoom · drag the background to pan

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