Question

In the signal flow graph of given figure, \( \frac{y}{x} \) equals ________.

• A. 3
• B. 2
• C. 2.5
• D. 1.5

Hint:

Use Mason’s Gain formula or simplify path-wise for small signal flow graphs. Forward path × gains = total gain.

Answer 1

The Correct Option is B

Apply Mason’s Gain Formula: \[ \frac{y}{x} = \text{Sum of forward paths with gain} = 2 \times 1 = 2 \] Feedback loop gain = -2, but it doesn’t affect the main forward path in this simple structure.