Which of the following statements is/are correct about Norton Theorem?...
Norton’s network for any given network can be represented as
The value of the current source is the short circuit current between the two terminals of the network
Norton’s Resistance is the equivalent resistance measured between the terminals of the network with all the energy. Sources are replaced by their internal resistance.
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Which of the following statements is/are correct about Norton Theorem?...
Norton's Theorem is a technique used in electrical network analysis to simplify complex circuits and determine the equivalent circuit at a specific terminal. It states that any two-terminal linear circuit can be replaced by an equivalent circuit consisting of a current source in parallel with a resistor.
Statement A: The value of the current source is the short circuit current between the two terminals of the network.
This statement is correct. According to Norton's Theorem, the Norton current source is equal to the short circuit current between the two terminals of the network. When we short circuit the terminals, we eliminate the load or any resistance connected to the network, allowing the maximum possible current to flow. This short circuit current is then used as the value of the Norton current source in the equivalent circuit.
Statement B: Resistance is the equivalent resistance measured between the terminals of the network with all the energy sources replaced by their internal resistance.
This statement is also correct. The equivalent resistance, often denoted as Rn, is the resistance measured between the terminals of the network when all the energy sources (such as voltage sources or current sources) are replaced by their internal resistance. It represents the resistance seen by the load when connected to the network.
Explanation:
Norton's Theorem allows us to simplify complex circuits into a simpler equivalent circuit, making it easier to analyze and calculate the behavior of the network. The equivalent circuit consists of a current source (Norton current) and a resistor (Norton resistance).
To apply Norton's Theorem, we follow these steps:
1. Calculate the short circuit current (Isc) between the two terminals of the network by shorting the terminals and finding the current flowing through the short circuit.
2. Determine the equivalent resistance (Rn) by replacing all the energy sources in the network with their internal resistance. This can be done by replacing voltage sources with a short circuit and current sources with an open circuit.
3. Construct the Norton equivalent circuit by connecting a current source (with a value equal to the short circuit current) in parallel with the equivalent resistance.
The Norton equivalent circuit provides an easier representation of the original network, allowing us to calculate various parameters such as voltage, current, and power with greater convenience. It is particularly useful when dealing with large and complex circuits.
In conclusion, both statements A and B are correct about Norton's Theorem. The value of the current source in the Norton equivalent circuit is indeed the short circuit current between the terminals, and the equivalent resistance is measured between the terminals with all energy sources replaced by their internal resistance.
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