State whether the given statement is true or false.
Like Thevenin’s theorem, Norton’s theorem provides a method of reducing a more complex circuit to a simpler, more manageable form for analysis.
A) True
B) False
Answer
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Hint: Norton’s theorem is almost analogous to the Thevenin’s theorem. While in the Thevenin’s theorem, we try to reduce a circuit to an ideal voltage source with a thevenin resistance, in Norton’s theorem we try to reduce a complex circuit to an ideal current source with a Norton resistance.
Complete step by step answer:
In Norton’s theorem, our main objective is to reduce a complex circuit with respect to two terminals, to a simpler circuit consisting of a current source and a Norton resistance in parallel across the former two terminals.
In this sense, Norton's theorem can be considered to be the current equivalent of the Thevenin’s theorem. In the Thevenin’s theorem also, our objective is to reduce a complex circuit with respect to two terminals, to a simpler circuit consisting of a voltage source along with the Thevenin resistance in series with the source and the two terminals completing the circuit.
Hence, it is true that like Thevenin’s theorem, Norton’s theorem provides a method of reducing a more complex circuit to a simpler, more manageable form for analysis.
Therefore, the correct option is A) True.
Note:
Students must note that they should get the same equivalent circuit between two terminals when using either Thevenin’s theorem or Norton’s theorem. If the question is to find some parameter such as voltage across two terminals, then the answer should be the same regardless of whether Thevenin’s theorem is used or Norton’s theorem is used. This is a good check to verify that whether we have arrived at the correct answer or not while solving a problem by the usage of either of these two methods.
In fact, the Thevenin’s resistance and the Norton’s resistance, both are of equal value and calculated similarly. It is just that the names are given differently when the two theorems are used.
Complete step by step answer:
In Norton’s theorem, our main objective is to reduce a complex circuit with respect to two terminals, to a simpler circuit consisting of a current source and a Norton resistance in parallel across the former two terminals.
In this sense, Norton's theorem can be considered to be the current equivalent of the Thevenin’s theorem. In the Thevenin’s theorem also, our objective is to reduce a complex circuit with respect to two terminals, to a simpler circuit consisting of a voltage source along with the Thevenin resistance in series with the source and the two terminals completing the circuit.
Hence, it is true that like Thevenin’s theorem, Norton’s theorem provides a method of reducing a more complex circuit to a simpler, more manageable form for analysis.
Therefore, the correct option is A) True.
Note:
Students must note that they should get the same equivalent circuit between two terminals when using either Thevenin’s theorem or Norton’s theorem. If the question is to find some parameter such as voltage across two terminals, then the answer should be the same regardless of whether Thevenin’s theorem is used or Norton’s theorem is used. This is a good check to verify that whether we have arrived at the correct answer or not while solving a problem by the usage of either of these two methods.
In fact, the Thevenin’s resistance and the Norton’s resistance, both are of equal value and calculated similarly. It is just that the names are given differently when the two theorems are used.
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