Question

Consider a system represented by the block diagram shown below. Which of the following signal flow graphs represent(s) this system? Choose the correct option(s).

 

• A.
• B.
• C.
• D.

Hint:

For systems with feedback, identify the blocks where outputs loop back into inputs and track how each block affects the overall system output.

Answer 1

The Correct Option is B

Step 1: Understand the block diagram. The system consists of two blocks \( G_1 \) and \( G_2 \), where the feedback path comes from the output \( Y(s) \) that goes to \( G_1 \), and the output from both \( G_1 \) and \( G_2 \) contribute to \( Y(s) \). 
Step 2: Identify the corresponding signal flow graph. The system has a feedback loop, where the output \( Y(s) \) feeds back into \( G_1 \). This is correctly represented by option (B), where \( G_1 \) has feedback from the output \( Y(s) \). Thus, the correct answer is (B).