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Solved exercise · level 4 of 5

Resistance of a circuit of known impedance

Skills: Calculate

Statement

Determine the resistance of a circuit of impedance 440.4 Ω at 50 Hz, given that it contains in series a coil of inductance L = 1 H and a capacitor C = 5 µF.

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

2 hints from Bastaya available in the lab
Solution

L·ω − 1/(C·ω) = -322.5 Ω; R = √(Z² − X²) = √(440.4² − (-322.5)²) = 300 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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R
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C
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