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### Thévenin’s theorem – Wikipedia

Please help improve this article by adding citations to reliable sources. 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. From Wikipedia, the free encyclopedia. The equivalent circuit is a voltage source with voltage V Thevenib in series with a resistance R Th.

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 theevnin any linear “black box” circuit which contains voltage sources and resistors, its voltage is a linear function of the corresponding current as follows.

Theorem in circuit analysis. Retrieved from ” https: 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. Original circuit The equivalent voltage The equivalent resistance The equivalent circuit.

By using this site, you agree to the Terms of Use and Privacy Policy. This method is valid only for circuits with independent sources. Resistance can then be calculated across the terminals using the formulae for series and parallel circuits. This page was last edited on 27 Decemberat November Learn how and when to remove this template message. Views Read Edit View history.

Unsourced material may be challenged and removed. Then, uniqueness theorem is employed to show that the obtained solution is unique. The theorem also applies to frequency domain AC circuits consisting of reactive and resistive impedances.

The first step is to use superposition theorem to construct a solution. It is noted that the second step is usually implied in literature. Circuit theorems Linear electronic circuits. It means the theorem applies for AC in an exactly same way to DC except that resistances are generalized to impedances.

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. That means an ideal voltage source is replaced with a short circuit, and an ideal current source is replaced with an open circuit. Now, the uniqueness theorem guarantees that the result is general. 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.

## Thévenin’s theorem

The proof involves two steps. In other words, the above relation holds true independent of what the “black box” xe plugged to. The replacements of voltage and current sources do what the sources would do if their values were set to zero.

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