BeginnerTopic 10 of 106Electrical Engineering

Kirchhoff's current law

Currents entering a node sum to zero because charge is conserved.

In depth

Charge cannot accumulate at a node, so the sum of currents entering equals the sum leaving: ΣI=0. It is used to write node equations and is valid for any lumped circuit, linear or not.

Key points

  • Assign directions arbitrarily
  • Negative result means opposite direction
  • Supernodes include voltage sources
Example

If 3 A and 2 A enter a node, 5 A must leave.

Why it matters

This law is the bookkeeping rule behind node analysis, and it shows that charge cannot accumulate at a junction.

Where this is used

  • Solving the branch currents at a wiring junction in a power board.
  • Checking a measured current balance around a sensor node.
  • Writing node equations for an amplifier circuit.

Frequently asked questions

What is Kirchhoff's current law?

Currents entering a node sum to zero because charge is conserved.

Why is it important to understand kirchhoff's current law?

This law is the bookkeeping rule behind node analysis, and it shows that charge cannot accumulate at a junction.

Does KCL apply to AC circuits?

Yes. It holds at every instant for any lumped circuit, because charge is conserved.

Do I need to assign directions?

You may assign directions arbitrarily. A negative answer simply means the actual current flows opposite to your assumed direction.

How is Kirchhoff's current law used in practice?

Typical applications include solving the branch currents at a wiring junction in a power board, checking a measured current balance around a sensor node and writing node equations for an amplifier circuit.

What should I learn before Kirchhoff's current law?

Study "Parallel circuits" first (topic 9 of 106 in Electrical Engineering). It covers the groundwork this topic builds on.

What are the key points of Kirchhoff's current law?

Assign directions arbitrarily. Negative result means opposite direction. Supernodes include voltage sources.

Can you give an example of Kirchhoff's current law?

If 3 A and 2 A enter a node, 5 A must leave.

What comes after Kirchhoff's current law?

The next topic is "Kirchhoff's voltage law", which builds directly on this one.

How difficult is Kirchhoff's current law?

It is classed as Beginner in Electrical Engineering (topic 10 of 106). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.

Learning path

Want to practise? Open the interactive course for quick checks, quizzes, simulations and progress tracking.

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