Labo Élec

electrical lab simulator
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Exercise from the chapter "Resistor networks"

Parallel: current division

Level 2 of 5 · Skills: Calculate

Statement

A circuit has R₁ = 6.8 Ω and R₂ = 4.7 Ω in parallel. The total current is 3 A. What is the current i₁ in R₁?

R₁ = 6.8 Ω · R₂ = 4.7 Ω · I = 3 A

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

Guided problem in 4 steps: unknown, formula, units, data, result.

1 hint from Bastaya available in the lab
Solution

U = Req · I = 8.34 V; i₁ = U / R₁ = 1.23 A and i₂ = U / R₂ = 1.77 A (i₁ + i₂ = I). The current splits inversely to the resistances.

Course sheet of the chapter : Resistor networks

This chapter is covered by the paths: 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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