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A zero valued current source passes zero current, regardless of the voltage across it; its replacement, an open circuit, does the same thing.

Now, the uniqueness theorem guarantees that the result is general. From Wikipedia, the free encyclopedia. This page was last edited on 27 Decemberat In circuit theory terms, the theorem allows any one-port network to be reduced to a single voltage source and a single impedance.

This method is valid only for circuits with independent sources. Articles with short description Articles re additional references from November All articles needing additional references.

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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.

It is noted that the ghevenin step is usually implied in literature. The theorem also applies to frequency domain AC circuits consisting of reactive and resistive impedances. Theorem in circuit analysis. That means an ideal voltage source is replaced with a short circuit, and an ideal current source is replaced with an open circuit.

### Thévenin’s theorem – Wikipedia

The proof involves two steps. The replacements of voltage and current sources do what the sources would do if their values were set to zero. By using this site, you agree to the Terms of Use and Privacy Policy. 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.

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

Views Read Edit View history. This article needs additional citations for verification. It means the theorem applies for AC in an exactly same way to DC except that resistances are generalized to impedances. The first step is to use superposition theorem to construct a solution. If there are thevenih 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 koi through the test source.

In other words, the above relation holds true independent of what the “black box” is plugged to.

## Thévenin’s theorem

Unsourced material may be challenged and removed. In other projects Wikimedia Commons. The resistance is measured after replacing all voltage- and current-sources with their internal resistances.

Original circuit The equivalent voltage The equivalent resistance The equivalent circuit. Retrieved from ” https: The equivalent circuit is a voltage source with voltage V Th in series with a resistance R Th. Resistance can then be calculated across thevfnin terminals using the formulae for series and parallel circuits.

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