The open-loop DC gain of a unity negative feedback system with closed loop transfer function is ____Select one:a. 4b. 4/9c. 4/13d. 9
Question
The open-loop DC gain of a unity negative feedback system with closed loop transfer function is ____
Select one:
- a. 4
- b. 4/9
- c. 4/13
- d. 9
Solution
To find the open-loop DC gain of a unity negative feedback system with a closed-loop transfer function, we need to follow these steps:
Step 1: Identify the closed-loop transfer function. In this case, the closed-loop transfer function is given as "____".
Step 2: Determine the open-loop transfer function. The open-loop transfer function is obtained by removing the feedback path from the closed-loop transfer function. In this case, the open-loop transfer function is the same as the closed-loop transfer function.
Step 3: Evaluate the open-loop transfer function at DC (zero frequency). This means setting s (the Laplace variable) to zero in the transfer function.
Step 4: Simplify the expression obtained in step 3 to find the open-loop DC gain.
By following these steps, we can determine the open-loop DC gain of the given system.
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