(a) Employ superposition to obtain the individual contributions each of the two sources

Chapter 5, Problem 5

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QUESTION:

(a) Employ superposition to obtain the individual contributions each of the two sources in Fig. 5.50 makes to the current labeled \(i_x\). (b) Adjusting only the value of the rightmost current source, alter the circuit so that the two sources contribute equally to \(i_x\).

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QUESTION:

(a) Employ superposition to obtain the individual contributions each of the two sources in Fig. 5.50 makes to the current labeled \(i_x\). (b) Adjusting only the value of the rightmost current source, alter the circuit so that the two sources contribute equally to \(i_x\).

ANSWER:


(a) To find the individual contributions to \(i_x\) from each current source, we use the superposition principle. We can solve this problem by first finding the total current \(i_x\) caused by each source acting alone. When the 5 A current source is acting alone, the 10 A source is replaced with a short circuit, and the voltage across the 10 A source is zero. Furthermore, no current flows through the 5 A source, so this current is also 0. We can then find the current \(i_x\) caused by the 10 A source alone: the 5 A current source is replaced with

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