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In the signal flow graph shown in figure ๐‘‹2 = ๐‘‡๐‘‹1 where T, is equal toSelect one:a. 2.5b. 5.5c. 10d. 4.5

Question

In the signal flow graph shown in figure ๐‘‹2 = ๐‘‡๐‘‹1 where T, is equal toSelect one:a. 2.5b. 5.5c. 10d. 4.5

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Solution

To solve this problem, we need to analyze the signal flow graph shown in figure. The equation given is ๐‘‹2 = ๐‘‡๐‘‹1, where ๐‘‡ is the transfer function.

To find the value of ๐‘‡, we can use the following steps:

  1. Identify the input and output nodes in the signal flow graph. In this case, ๐‘‹1 is the input node and ๐‘‹2 is the output node.

  2. Trace the signal flow from the input node to the output node, following the arrows in the graph.

  3. Along the signal flow path, multiply the transfer functions of each branch or block encountered.

  4. In this case, there is only one block with a transfer function ๐‘‡.

  5. Since the equation is ๐‘‹2 = ๐‘‡๐‘‹1, we can rewrite it as ๐‘‡ = ๐‘‹2 / ๐‘‹1.

  6. Substitute the values of ๐‘‹2 and ๐‘‹1 into the equation.

  7. Calculate the value of ๐‘‡.

Based on the information provided, we cannot determine the values of ๐‘‹2 and ๐‘‹1 from the given figure. Therefore, we cannot calculate the value of ๐‘‡.

This problem has been solved

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