In the signal flow graph shown in figure y/x equalsSelect one:a. 2b. 10c. none of the aboved. 3
Question
In the signal flow graph shown in figure, equals
Select one:
- a. 2
- b. 10
- c. none of the above
- d. 3
Solution
To determine the value of y/x in the given signal flow graph, we need to follow these steps:
-
Identify the input and output nodes in the graph. In this case, the input node is x and the output node is y.
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Trace the signal flow from the input node to the output node. Follow the arrows and multiply the gains along the way.
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In this graph, there is a single path from x to y, which consists of two edges with gains of 5 and 2. Therefore, the overall gain from x to y is 5 * 2 = 10.
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Finally, divide the overall gain by the input value x to obtain the value of y/x. In this case, y/x = 10.
Therefore, the correct answer is b. 10.
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