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Circuit theorems Linear electronic circuits. The equivalent circuit is a voltage source with voltage V Th in series with a resistance R Th.

The first step is to use superposition theorem to construct a solution. The proof involves two steps. It means the theorem applies for AC in an exactly same way to DC except that resistances thevejin generalized to 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.

The resistance is measured after replacing all voltage- and current-sources with their internal resistances.

Retrieved from ” https: In other words, the above relation thdvenin true independent of what the “black box” is plugged to. 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. Resistance can then be calculated across the terminals using the formulae for series and parallel circuits.

This page was last edited on 27 Decemberat Original circuit The equivalent voltage The equivalent resistance The equivalent circuit. Views Read Edit View history. 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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The replacements of voltage and current sources do what the sources would ed if their values were set to zero. November Learn how and when to remove this template message.

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Thévenin’s theorem

By using this site, you htevenin to the Terms of Use and Privacy Policy. The theorem also applies to frequency domain AC circuits consisting of reactive and resistive impedances. In other projects Wikimedia Commons.


That means an ideal voltage source is replaced with a short circuit, and an ideal current source is replaced with an open circuit. It is noted that the second step is usually implied in literature.

Thévenin’s theorem – Wikipedia

From Wikipedia, the free encyclopedia. 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. Now, the uniqueness theorem guarantees that the result is general.

A zero valued current source passes zero current, regardless of the voltage across it; its replacement, an open circuit, does the same thing. In circuit theory terms, the theorem allows any one-port network to be reduced to a single voltage source and a single impedance. Theorem in circuit analysis. This method is valid only for circuits with independent sources.

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