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Consider the two-port resistive network shown in the figure. When an excitation of 5 V is applied across Port 1, and Port 2 is shorted, the current through the short circuit at Port 2 is measured to be 1 A (see (a) in the figure). Now, if an excitation of 5 V is applied across Port 2, and Port 1 is shorted (see (b) in the figure), what is the current through the short circuit at Port 1?
- 0.5 A
- 1 A
- 2 A
- 2.5 A
Correct answer: 1 A
Solution
The current through Port 1 when it is shorted is the same as the current through Port 2 when it is shorted, due to the symmetry of the resistive network and the equal voltage applied across both ports. Since the current through Port 2 was measured to be 1 A under the same conditions, the current through Port 1 must also be 1 A.
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