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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. Original circuit The equivalent voltage The equivalent resistance The equivalent circuit. 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. Theorem in circuit analysis.

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. Unsourced material may be challenged and removed. 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 looi that resistances are generalized to impedances.

Thévenin’s theorem – Wikipedia

The first step is to use superposition theorem to construct a solution. November Learn how and when to remove this template message. 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.

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

Circuit theorems Linear electronic circuits. If there are dependent sources in the circuit, another method must be used thevvenin as connecting a test source across A and B and calculating the voltage across or current through the test source.

Retrieved from thecenin https: By using this site, you agree to the Terms of Use and Privacy Policy. That means an ideal voltage source is replaced with a short circuit, and an ideal current source is replaced with an open circuit.

Articles with short description Articles needing additional references from November All articles needing additional references. In other projects Wikimedia Commons. It is noted that the second step lpi usually implied in literature. Resistance can then be calculated across the terminals using the formulae for series and parallel circuits.

The equivalent circuit is a voltage source with voltage V Th in series with a resistance R Th. This article needs additional citations for verification. In other words, the above relation holds true independent of what the “black box” is plugged to.

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Now, the uniqueness theorem guarantees that the result is general.

Thévenin’s theorem

The replacements of voltage and current sources do what the sources would do if their values were set to zero. The proof involves two steps. Views Read Edit View history. The theorem also applies to frequency domain AC circuits consisting of reactive and resistive impedances.

From Wikipedia, the free encyclopedia. This page was last edited on 27 Decemberat The resistance is measured after replacing all voltage- and current-sources with their internal resistances.

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.