Explain Kirchhoff's laws with a simple example

The short version: Kirchhoff's laws refers to the rules that current into a junction balances and voltages around a loop sum to zero. A quick example makes it concrete — Two loops give two equations that solve for both branch currents.

How to approach it step by step

Once one example makes sense, the method generalises: label loop currents, write the equations, then solve the simultaneous system. In a visual interactive session the example is built on screen piece by piece, so you see which quantity changes at each step instead of only reading a final answer. Ask for a harder variant and the explanation adapts on the spot.

Worked example

Two loops give two equations that solve for both branch currents.

The mistake most learners make

Missing a sign change when traversing a source against its polarity.

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