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Solved exercise · level 2 of 5

Parallel: current division

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-

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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C
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