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Consider the tank level control system shown in the figure, where the cross-section area of the tank is $A$. Assume perfect flow controllers $\text{(FC)}$. The level controller $\text{(LC)}$ is proportional-integral $\text{(PI)}$. For an integral time, $\tau_{I}$, the level controller gain, $K_{c}$, is tuned for critical damping. The value of $\dfrac{K_{c} \tau_{I}}{A}$ is _____________________ (rounded off to the nearest integer).

 

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