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This page was last edited on 27 Decemberat The first step tevenin to use superposition theorem to construct a solution. Original circuit The equivalent voltage The equivalent resistance The equivalent circuit.

Thévenin’s theorem – Wikipedia

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. 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.

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

It is noted that the second step is usually implied in literature. The theorem also applies to frequency domain AC circuits consisting of reactive and resistive impedances. This article needs additional citations for verification.


Please help improve this article by adding citations to reliable sources. It means the theorem applies for AC in an exactly same way to DC except that resistances are generalized to impedances. Resistance can then be calculated across the terminals using the formulae for series and parallel circuits.

By using this site, you agree to the Ooi 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.

The proof involves two steps. This method is valid only for circuits with independent sources. Unsourced material may be challenged and removed. Articles with short description Articles needing additional references from November All articles needing additional thwvenin.

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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

In circuit theory terms, the theorem allows any one-port network to be reduced to a single voltage source and a single impedance. In other projects Wikimedia Commons. Then, uniqueness theorem is employed to show that the obtained solution is unique. The resistance is measured after replacing all voltage- and current-sources with their internal resistances.

In other words, the above relation holds true independent of what the “black box” is plugged to. Theorem in circuit analysis. The replacements of voltage and current sources do what the sources would hhevenin if their values were set to zero.

Circuit theorems Linear electronic circuits.

The equivalent circuit is a voltage source with voltage V Th in series with a resistance R Th. Now, the uniqueness theorem guarantees that the result is general.