Question

In a single tank system, the transfer function of level to inlet flow rate is

• A. \( \frac{R}{\tau s} \)
• B. \( \frac{R}{\tau s + 1} \)
• C. \( \frac{1}{\tau s + 1} \)
• D. \( \frac{1}{\tau s} \)

Hint:

First order lag systems have transfer function with \( \tau s + 1 \) denominator.

Answer 1

The Correct Option is B

A first-order system with gain \( R \) and time constant \( \tau \) has transfer function \( \frac{R}{\tau s + 1} \).
It represents lag between input flow and level change.