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In other projects Wikimedia Commons. 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. Here, the first term reflects the linear summation of contributions from each voltage source, while the second term measures the contributions from all theveinn resistors.

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Thévenin’s theorem – Wikipedia

Circuit theorems Linear electronic circuits. Now, the uniqueness theorem guarantees that the result is general.

It is noted that the second step is usually implied in literature. By using this site, you agree to the Terms of Use and Theenin Policy. This method is valid only for circuits with independent sources. Original circuit The equivalent voltage The equivalent resistance The equivalent circuit. Unsourced material may be challenged and removed.

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. The proof thevnein two steps. This page was last edited on 27 Decemberat Articles with short description Articles needing additional references from November All articles needing additional references.


The first step is to use superposition theorem to construct a solution. The equivalent circuit is a voltage source with voltage V Th in series with a resistance R Th. November Learn how and when to remove this template message.

The resistance is measured after replacing all voltage- and current-sources with their internal resistances. Resistance can then be calculated across the terminals using the formulae for tyevenin and parallel circuits. A zero valued current source passes zero current, regardless of the voltage across it; its replacement, an open circuit, does the same thing. Retrieved from ” https: It means the theorem applies for AC in an exactly same way to DC except that tjevenin are generalized to impedances.

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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. Theorem in circuit analysis. Please help improve this article by adding citations to reliable sources. 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.


Then, uniqueness theorem is employed to show that the obtained solution is unique. The replacements of voltage and current sources do what the sources would do if their values were set to zero.

The theorem also applies to frequency domain AC circuits consisting of reactive and resistive impedances. In other words, the above relation holds true independent of what the “black box” is plugged to.

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.