Labo Élec

electrical lab simulator
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Exercise from the chapter "RLC circuits"

Coil resistance from cos φ

Level 5 of 5 · Skills: Calculate

Statement

A circuit contains in series a coil of inductance L = 0.1 H and a capacitor C = 3.3 µF; a voltmeter across the capacitor reads 60.3 V, the frequency is 400 Hz and the phase angle between U and I has cosine 0.0763. What is the coil resistance R? (From cos φ get sin φ; I = U_C·C·ω; U = (U_L − U_C)/sin φ; Z = U/I; R = Z·cos φ.)

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

2 hints from Bastaya available in the lab
Solution

I = U_C·C·ω = 0.5 A; L·ω − 1/(C·ω) = 130.8 Ω; Z = 131.1 Ω; R = Z · cos φ = 131.1 × 0.0763 = 10 Ω.

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-

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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