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This question is from Fundamentals of Electric Circuits (5th Edition) The link t

ID: 2266587 • Letter: T

Question

This question is from Fundamentals of Electric Circuits (5th Edition)

The link to the Chegg textbook solution  https://www.chegg.com/homework-help/Fundamentals-of-Electric-Circuits-5th-edition-chapter-4-problem-2RQ-solution-9780073380575

The question states:

For superposition, it is not required that only one independent source be considered at a time; any number of independent sources may be considered simultaneously.
(a) True (b) False

The book says this answer is True.

My question is: How is this true?

responsc o 92. The principle of superposition states that for a linear circuit consisting of linear ele- ments and independent sources, we can determine the total response by finding the response to each independent source with all other independent sources set to zero and then summing these individual responses. In general, the response we seek may be a cur- rent or a voltage The superposition principle requires that the total effect of several causes acting simultaneously is equal to the sum of the effects of the individual causes acting one at a time The superposition principle may be restated as follows. In a linear circuit containing independent sources, the voltage across (or the current through) any element may be obtained by adding algebraically all the individual voltages (or currents) caused by each independent source acting alone, with all other independent voltage sources replaced by hort circuits and all other independent current sources replaced by open circuits. The principle of superposition requires that) we deactivate (disable) all but one indepen- dent source and find the response due all but a second source and determining the response. We find the response to each source acting alone, and then the total response is the sum of all these responses to that source. We then repeat the process by disabling First, we note that when considering one independent source, we set the other indepen- dent sources to zero. Thus, an independent voltage source appears as a short circuit with zero voltage across it. Similarly, if an independent current source is set to zero, no current flows through it and it appears as an open circuit. Also, it is important to note that if a dependent ource is present, it is never deactivated and must remain active (unaltered) during the super- position process.

Explanation / Answer

sorry for the inconvenience,

superposition theorem can be applied to only one independent source at a time and all other independent sources set inactive.

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