Current Splitter: What Flows In Flows Out

An educational simulation game. At a junction the current splits and joins with nothing lost, and parallel branches share it inversely to their resistance. Predict a missing branch current, a split between 2 Ω and 4 Ω, a main current, what a new branch does, and a meter's shunt.

Kirchhoff's current lawCurrent division

CURRENT SPLITTER

The other branch

Ready
Enable JavaScript to send the current in. The instructions and worked example remain readable.
Current IElectrons (−), moving the other wayAmmeters and junctionsYour prediction
Kirchhoff's current lawI = I₁ + I₂ + …

Time

0.00 s

t

In

— A

I_in

Out, all branches

— A

I₁ + I₂ + …

Across the branches

— V

V = I₁·R₁ = I₂·R₂

Predict before you start

Type your prediction to set things up. Start stays off until there is an answer.

Predict how currents split and join.

Mission score—

Every answer must be within 2%: each earns 100 points. Getting it right on the first run adds 50. A run counts as soon as it starts.

✓ Right answer① First try

How to play Current Splitter

  1. Choose a test and read the currents and resistances on the card.
  2. Use I = I₁ + I₂ + … at a junction; in parallel the voltage is shared, so I_k = V ÷ R_k.
  3. Type your prediction and press Start. The source rises and every meter follows.
  4. Compare the meters and the bars with your orange prediction.

Kirchhoff's current law

Charge is never created or used up in a circuit, so at a junction the current that flows in equals the current that flows out: I = I₁ + I₂ + …. This is Kirchhoff's current law. Branches in parallel are connected across the same two points, so they share one voltage, and each draws I_k = V ÷ R_k: the currents divide inversely to the resistances, and the smallest resistance takes the largest share. Adding a branch across a fixed voltage leaves the others unchanged and simply adds its own current to the main one. The same rule turns a sensitive meter into an ammeter: a small shunt resistance in parallel carries most of the current, leaving the meter just its full-scale share.

A focused learning model

The resistors and the meter are fixed resistances, the wires and ammeters are ideal, and the current is steady at once. The source, a voltage or a fixed current fed in, ramps steadily from 0 over 2 s and holds for 1 s; in the add test the second branch switches on at 2 s. The electron dots move at a speed in step with the current, not at the real drift speed. Answers within 2% are right.

Changing language keeps your test, prediction, attempts, and run.