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Physics Fundamentals

Circuit
Builder

Connect components to hit target voltages.
Real nodal analysis. 5 levels of circuit puzzles.

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⚡ Electromagnetism Game

Circuit Builder — Free Online Ohm's Law & Circuit Puzzle Game

Circuit Builder uses real nodal analysis — the same mathematical technique used by SPICE circuit simulators — to calculate voltages. Click nodes to connect components and watch live voltage readouts appear across every node and component in the circuit.

The physics behind the game

Ohm's law

V = IR

The fundamental relationship between voltage, current and resistance. Double the voltage, double the current. Double the resistance, halve the current.

Series resistors

R_total = R₁ + R₂ + R₃…

In series, all current flows through each component. Resistances add. Voltage divides proportionally to resistance.

Parallel resistors

1/R_total = 1/R₁ + 1/R₂

In parallel, current splits between paths. Total resistance is less than either individual resistor. Both components see the same voltage.

Kirchhoff's laws

ΣV_loop = 0, ΣI_node = 0

KVL: voltages around any loop sum to zero (energy conservation). KCL: currents into any node sum to zero (charge conservation). These underpin all circuit analysis.