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Thévenin’s theorem – Wikipedia

Please help improve this article by adding citations to reliable sources. Now, the uniqueness theorem guarantees that the result is general. Circuit theorems Linear electronic circuits.

Original circuit The equivalent voltage The equivalent resistance The equivalent circuit. Resistance can then be calculated across the terminals using the formulae for series and parallel circuits. By using this site, you agree to the Terms of Use and Privacy Policy. From Wikipedia, the free encyclopedia.

By using superposition thevebin 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. Views Read Edit View history. Articles with short description Articles needing additional references from November All articles needing additional references.

November Learn how and when to remove this template message. A zero valued current source passes zero current, regardless of the voltage across it; its replacement, an open circuit, does the same thing. In other words, the above relation holds true independent of what the “black box” is plugged to. In circuit theory terms, the theorem allows any one-port network to be reduced to a single voltage source and a single impedance. 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.


The equivalent circuit is a voltage source with voltage V Th in series with a resistance Thevdnin Th. This method is valid only theveinn circuits with independent sources. Then, uniqueness tyevenin is employed to show that the obtained solution is unique. Unsourced material may be challenged and removed.

It is noted that the second step is usually implied in literature. It means the theorem applies for AC in an exactly same way to DC except that resistances are generalized to impedances. The resistance is measured after replacing all voltage- and current-sources with their internal resistances.

Thévenin’s theorem

Retrieved from ” https: The theorem also applies to frequency domain AC circuits consisting of reactive and resistive impedances. 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.

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The proof involves two steps. The first step is to use superposition theorem to construct a solution.


This page was last edited on 27 Decemberat Here, the first term reflects the linear summation of contributions from each voltage source, while the second term measures the contributions from all thevrnin resistors. The replacements of voltage and current ooi do what the sources would do if their values were set to zero. That means an ideal voltage source is replaced with a short circuit, and an ideal current source is replaced with an open circuit.

Theorem in circuit analysis.