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The replacements of voltage and current sources do what the sources would do if their values were set to zero. In circuit theory terms, the theorem allows any one-port network to be reduced to a single voltage source and a single impedance.

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. It is noted that the second step is usually implied in literature. By using this site, you agree to the Terms of Use and Privacy Policy.

This page was last edited on 27 Decemberat The theorem also applies to frequency domain AC circuits consisting of reactive and resistive impedances.

Thévenin’s theorem – Wikipedia

It means the theorem applies for AC in an exactly same way to DC except that resistances are generalized to impedances. A zero valued current source passes zero current, regardless of the voltage across it; its replacement, an open circuit, does the same thing. The resistance is measured after replacing all voltage- and current-sources with their internal resistances.


This thevein is valid only for circuits with independent sources.

In other words, the above relation holds true independent of what the “black box” is plugged to. Unsourced material may be challenged and removed. Now, the uniqueness theorem guarantees that the result is general.

From Wikipedia, the free encyclopedia. The first step is to use superposition theorem to construct a solution. 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. In other projects Wikimedia Commons. November Learn how and when to remove this template message. A zero valued voltage source would create a potential difference of zero volts between its terminals, regardless of the current that theveinn through it; its replacement, a short circuit, does the same thing.

Original circuit The equivalent voltage The equivalent resistance The equivalent circuit.


Thévenin’s theorem

Then, uniqueness theorem is employed to show that the obtained solution is unique. Circuit theorems Linear electronic circuits. Retrieved from ” https: That means an ideal voltage source is replaced with a short circuit, and an ideal current source is replaced with an open circuit. Here, the first term reflects the linear summation of contributions from each voltage source, while the second term measures the contributions thevdnin all the resistors.

Views Read Edit View history. Theorem in circuit analysis.

The equivalent circuit is a voltage source with voltage V Th in series with a resistance R Th. Please help improve this article by adding citations to reliable sources. This article needs additional citations for verification.

Resistance can then be calculated across the terminals using the formulae for series and parallel circuits. Articles with short description Articles needing additional references from November All articles needing additional references.