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Then, uniqueness theorem is employed to show that the obtained solution is unique.

In other words, the above relation holds true independent of what the “black box” is plugged to. This article needs additional citations for verification. Views Read Edit View history.

Please help improve this article by adding citations to reliable sources. From Wikipedia, the free encyclopedia.

It means the theorem applies for AC in an exactly same way to DC except that resistances thevenln generalized to impedances. November Learn how and when to remove this template message.

Here, the first term reflects the linear summation of contributions from each voltage source, while the second term measures the contributions from all the resistors. This page was last edited on 27 Decemberat This method is valid only for circuits with independent sources. By using superposition of specific configurations, it can be shown that for any linear “black box” circuit which contains voltage sources and resistors, its voltage is a linear function of the corresponding current as follows.

## Thévenin’s theorem

Original circuit The equivalent voltage The equivalent resistance The equivalent circuit. In circuit theory terms, the theorem allows se one-port network to be reduced to a single voltage source and a single impedance.

Unsourced material may be challenged and removed. Theorem in circuit analysis.

### Thévenin’s theorem – Wikipedia

The equivalent circuit is a voltage source with voltage V Th in series with a resistance R Th. The first step is to use superposition theorem to construct a solution. By using this site, you agree to the Terms of Use and Privacy Policy.

Now, the uniqueness theorem guarantees that the result is general. A zero valued current source passes zero current, regardless of the voltage across it; its replacement, an open circuit, does the same thing. Resistance can then be calculated across the terminals using the formulae for series and thevdnin circuits. The theorem also applies to frequency domain AC circuits consisting of reactive and resistive impedances.

Articles with short description Articles needing additional references from November All articles needing additional references. The replacements of voltage and current sources do what the sources would do if their values were set to zero.

Circuit theorems Linear electronic circuits. Retrieved from loo https: The resistance is measured after replacing all voltage- and current-sources with their internal resistances. It is noted that the second step is usually implied in literature. Lok other projects Wikimedia Commons.

The proof involves two steps. If there are dependent sources in the circuit, another method must be used such as connecting a test source across A and B and calculating the voltage across or current through the test source.

A zero valued voltage source would create a potential thevebin of zero volts between its terminals, regardless of the current that passes through it; its replacement, a short circuit, does the same thing.

That means an ideal voltage source is replaced with a short circuit, and an ideal current source is replaced with an open circuit.