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Solved exercise · level 3 of 5

Instantaneous value of a current

Skills: Calculate

Statement

A current of peak value 2 A and frequency 50 Hz crosses zero rising at t = 0. What is its instantaneous value 7.5 ms later? (The sign matters.)

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

2 hints from Bastaya available in the lab
Solution

i = Imax · sin(ω·t) with ω·t = 360° × f × t = 135°; i = 2 × sin(135°) = 1.41 A.

Course sheet of the chapter : Alternating current

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.

Shortcuts

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rotate
C
chip brush
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