Question

Use Mason’s gain formula to find the transfer function of the given figure 

• A. \( G_1 + G_2 \)
• B. \( \frac{G_1 + G_1}{1 - G_1 H + G_2 H} \)
• C. \( \frac{G_1 + G_2}{1 + G_1 H + G_2 H} \)
• D. \( G_1 - G_2 \)

Hint:

Use Mason's gain formula for calculating transfer functions in signal flow graphs.

Answer 1

The Correct Option is C

- Mason’s gain formula states that \[ T = \frac{\sum P_k \Delta_k}{\Delta} \] - Using path gain calculations and determinant expressions, we derive the transfer function as \( \frac{G_1 + G_2}{1 + G_1 H + G_2 H} \).
Conclusion: The correct transfer function is given by option (c).