Use Mason's rule to find the transfer function of the signal-flow diagram shown. R(S) V₁(s) G₁(s) V3(s) -H{(s) G₂(s) -H₂(s) 1 V4(s) V5(S) G3(s) -H3(s) C(s)
Follow the instructions. Kindly provide a COMPLETE and CLEAR solution. Answer it ASAP because I really need it right now. Answer should be typewritten.
Provide the following:
Step 1. Solve for k
Step 2. Solve for Tk (forward path gain)
Step 3. Identify the loop gains (TL)
Step 4. Identify the nontouching loops taken two at a time TNL(2 time)
Step 5. Identify the nontouching loops taken three at a time TNL(3 time)
Step 6. Identify the nontouching loops taken four at a time TNL(4 time)
Step 7. Solve for component ∆
Step 8. Solve for component ∆k (Note: We form ∆k by eliminating from ∆ the loop gains that touch the kth forward path)
Step 9. Substitute on the equation for transfer function
![1. Use Mason's rule to find the transfer function of
the signal-flow diagram shown.
R(S) O
V₁(s)
Gy(s)
V3(s)
-H₁(s)
G₂(s)
-H₂(s)
1
V4(s) V5(s)
G3(5)
-H3(s)
C(s)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67f4a444-cc47-4acb-953a-7b0f5dde9cf2%2Ff40255c7-a9f2-4851-9f1b-5d34548fa34f%2F4s5dq9o_processed.jpeg&w=3840&q=75)
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Can you redo this again? The answer should be typewritten, thanks.
Provide the following:
Step 1. Solve for k
Step 2. Solve for Tk (forward path gain)
Step 3. Identify the loop gains (TL)
Step 4. Identify the nontouching loops taken two at a time TNL(2 time)
Step 5. Identify the nontouching loops taken three at a time TNL(3 time)
Step 6. Identify the nontouching loops taken four at a time TNL(4 time)
Step 7. Solve for component ∆
Step 8. Solve for component ∆k (Note: We form ∆k by eliminating from ∆ the loop gains that touch the kth forward path)
Step 9. Substitute on the equation for transfer function
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