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The replacements of voltage and current sources do what the sources would do if their values were set to zero. This article needs additional citations for verification. This page was last edited on 27 Decemberat From Wikipedia, the free encyclopedia. In other projects Wikimedia Commons. The resistance is measured after replacing all voltage- and current-sources with their internal resistances.

Now, the uniqueness theorem guarantees that the result is general. The equivalent circuit is a voltage source with voltage V Th in series with a resistance R Th. That means an ideal voltage source is replaced with a short circuit, and an ideal current source is replaced with an open circuit.

By using this site, you agree to the Terms of Use and Privacy Policy. It means the theorem applies for AC in an exactly same way to DC except that resistances are generalized to impedances. Unsourced material may be challenged and removed.

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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 thevenon linear function of the corresponding current as follows.

In circuit theory terms, the theorem allows any one-port network to be reduced to a single voltage source and a single impedance. Here, the first term reflects the linear summation of contributions from each voltage thsvenin, while the second term measures the contributions from all the resistors.

It is noted that the second step is usually implied in literature. A zero valued voltage source would create a potential difference of zero volts between its terminals, thwvenin of the current that passes through it; its replacement, a short circuit, does the same thing. November Learn how and when to remove this template message.

Thévenin’s theorem

Original circuit The equivalent voltage The equivalent resistance The equivalent circuit. Then, uniqueness theorem is employed lok show that the obtained solution is unique.

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.

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The first step is to use superposition theorem to construct a solution. Retrieved from ” https: In other words, the above relation holds true independent of what the “black box” is plugged to. Views Read Edit View history.

The theorem also applies to frequency domain AC ve consisting of reactive and resistive impedances. Circuit theorems Linear electronic circuits. Theorem in circuit analysis. Resistance can then be calculated across the terminals using the formulae for series and parallel circuits. This method is valid only for circuits with independent sources.

Thévenin’s theorem – Wikipedia

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

The proof involves two steps. Please help improve this article by adding citations to reliable sources.