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This article needs additional citations for verification. 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. 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.

It is noted that the second step is usually implied in literature. Then, uniqueness theorem is employed to show that the obtained solution is unique.

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. This page was last edited on 27 Decemberat Now, the uniqueness theorem guarantees that the result is general. That means an ideal voltage source is replaced with a short circuit, and an ideal current source is replaced with an open circuit.

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It means the theorem applies for AC in an exactly same way to DC except that resistances are generalized to impedances. November Learn how and when to remove this template message.

In other words, the above relation holds true independent of what the “black box” is plugged to. 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. Retrieved from ” https: The proof involves two steps.

Circuit theorems Linear electronic circuits. 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.

Articles with short description Articles needing additional references from November All articles needing additional references. This method is valid only for circuits with independent sources. The theorem also applies to frequency domain AC circuits consisting of reactive and resistive impedances.

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

In other projects Wikimedia Commons. A zero valued current source passes zero current, regardless of the voltage across it; its replacement, an open circuit, does the same thing.