BeginnerTopic 30 of 106Electrical Engineering

Norton equivalent

A current source in parallel with a resistance equivalent to the network.

In depth

The Norton equivalent is a current source I_N=I_sc in parallel with R_N=R_th. Source transformation switches between Thevenin and Norton forms: V_th=I_N·R_N. Useful when nodal analysis suits the circuit.

Key points

  • I_N = V_th/R_th
  • Same terminal behaviour
  • Not same internal dissipation
Example

A 5 V source with 1 kΩ equals a 5 mA source with 1 kΩ in parallel.

Why it matters

Norton's equivalent is the dual of Thevenin, and it is convenient when a current source model fits the problem better.

Where this is used

  • Modelling a photodiode as a current source with a parallel resistance.
  • Analysing a current-driven amplifier input.
  • Simplifying a network that feeds a constant current load.

Frequently asked questions

What is Norton equivalent?

A current source in parallel with a resistance equivalent to the network.

Why is it important to understand norton equivalent?

Norton's equivalent is the dual of Thevenin, and it is convenient when a current source model fits the problem better.

How is Norton related to Thevenin?

Their resistances are equal and the Norton current equals the Thevenin voltage divided by the resistance, so you can convert between them.

When is Norton more natural?

When the source is naturally a current, such as a photodiode or a current mirror output.

How is Norton equivalent used in practice?

Typical applications include modelling a photodiode as a current source with a parallel resistance, analysing a current-driven amplifier input and simplifying a network that feeds a constant current load.

What should I learn before Norton equivalent?

Study "Thevenin equivalent" first (topic 29 of 106 in Electrical Engineering). It covers the groundwork this topic builds on.

What are the key points of Norton equivalent?

I_N = V_th/R_th. Same terminal behaviour. Not same internal dissipation.

Can you give an example of Norton equivalent?

A 5 V source with 1 kΩ equals a 5 mA source with 1 kΩ in parallel.

What comes after Norton equivalent?

The next topic is "Maximum power transfer", which builds directly on this one.

How difficult is Norton equivalent?

It is classed as Beginner in Electrical Engineering (topic 30 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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