Question

The transfer function between \( y_2 \) and \( y_1 \) in the figure shown is:

• A. \( a + b \)
• B. \( (a + b)c \)
• C. \( \frac{a + b}{1 - c} \)
• D. \( \frac{a + b}{1 + c} \)

Hint:

Apply Mason’s gain formula: \[ T = \frac{\sum \text{forward gains}}{1 - \sum \text{loop gains}} \]

Answer 1

The Correct Option is C

Using Mason’s Gain Formula: \[ T = \frac{\text{Sum of all forward paths}}{1 - \text{Sum of individual loop gains}} = \frac{a + b}{1 - c} \]