
State whether given statement is true or false
The superposition theorem is useful for the analysis of single-source circuits.
(A) True
(B) False
Answer
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Hint Superposition theorem requires at least two sources for it to add and give the result. In a single source circuit it has only one hence cannot be applied for its analysis.
Complete step-by-step answer
According to the superposition theorem for any linear, bilateral network which has more than one source which leads to the resultant as the sum of both sources. The net response for two or more stimuli is the addition or the sum of both or all the responses.
Since, the theorem requires at least two sources of any stimuli for linear or any kind of network this cannot be applied for a single source as it cannot produce a resultant response because sum or addition of stimuli cannot take place for one source. Therefore, superposition theorems cannot be used for single source circuits.
Hence, the statement is false.
Note Superposition theorem is used to convert circuits to Norton or Thevenin equivalents. It can be applied for linear with or without time variant, with dependent or independent sources, passive elements like resistors, capacitors and inductors and even transformers.
Complete step-by-step answer
According to the superposition theorem for any linear, bilateral network which has more than one source which leads to the resultant as the sum of both sources. The net response for two or more stimuli is the addition or the sum of both or all the responses.
Since, the theorem requires at least two sources of any stimuli for linear or any kind of network this cannot be applied for a single source as it cannot produce a resultant response because sum or addition of stimuli cannot take place for one source. Therefore, superposition theorems cannot be used for single source circuits.
Hence, the statement is false.
Note Superposition theorem is used to convert circuits to Norton or Thevenin equivalents. It can be applied for linear with or without time variant, with dependent or independent sources, passive elements like resistors, capacitors and inductors and even transformers.
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