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This article needs additional citations for verification. Views Read Edit View history. 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. This method is valid only for circuits with independent sources.

Thévenin’s theorem

Resistance can then be calculated across the terminals using the formulae for series and parallel circuits. Original circuit The equivalent voltage The equivalent resistance The equivalent circuit. The replacements of voltage and current sources do what the sources would do if their values were set to zero.

By using superposition of specific configurations, it can be shown that for any linear “black box” circuit which contains voltage sources lki resistors, its voltage is a linear function of the corresponding current as follows. By using this site, you agree to the Terms of Use and Privacy Policy. Then, uniqueness theorem is employed to show that the obtained solution is unique.


In circuit theory terms, the theorem allows any one-port network to be reduced to a single voltage source and a single impedance.

The equivalent circuit is a voltage source with voltage V Th in series with a resistance R Th. Unsourced material may be challenged and removed.

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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.

Retrieved from ” https: Now, the uniqueness theorem guarantees that the result is general. The theorem also applies to frequency domain AC circuits consisting of reactive and resistive impedances. It is noted that the second step is usually implied in literature.

That means an ideal voltage source is replaced with a short circuit, and an ideal current source is replaced with an open circuit. In other projects Wikimedia Commons. In other words, the above relation holds thhevenin independent of what the “black box” is plugged to.


Thévenin’s theorem – Wikipedia

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 passes through it; its replacement, a short circuit, does the same thing.

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 theevnin source. Theorem in circuit analysis. From Wikipedia, the free encyclopedia. The first step is to use superposition theorem to construct a solution.

The resistance is measured after replacing all voltage- and current-sources with their internal resistances. 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. The proof involves two steps. This page was last edited on 27 Decemberat

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