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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, yx \frac{y}{x} equals

Select one:

  • a. 2
  • b. 10
  • c. none of the above
  • d. 3
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Solution

To determine the value of y/x in the given signal flow graph, we need to follow these steps:

  1. Identify the input and output nodes in the graph. In this case, the input node is x and the output node is y.

  2. Trace the signal flow from the input node to the output node. Follow the arrows and multiply the gains along the way.

  3. 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.

  4. 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.

This problem has been solved

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