Chapter 5, Problem 5.20E

Interpretation Introduction

(a)

Interpretation:

The transfer function $\frac{{\text{C'}}_{\text{m}}\left(\text{s}\right)}{{\text{C'}}_{\text{1}}\left(\text{s}\right)}$ needs to be determined at equal and constant flow rates

Concept introduction:

For all possible input values, the relationship of input and signal of control system is represented by a Transfer Function.

Visualization of control system is done by using block diagram in which blocks are used to represent the transfer function of the model and arrows are used to represent input and output signals of system.

Interpretation Introduction

(b)

Interpretation:

The response for step-change in ${\text{c}}_{\text{1}}$ from ${\text{14lb/ft}}^{\text{3}}-17{\text{lb/ft}}^{\text{3}}$ needs to be calculated.

Concept introduction:

The main importance of the concept of step response in electronics engineering and control theory. Within a very short time, the input of the general system changes from zero to one i.e. it is the output of the system. This time behaviors of the output of the general system are represented by step response.

(c)

Interpretation Introduction

Interpretation:

The step response for the system needs to be calculated, if the input change is same.

Concept introduction:

The main importance of the concept of step response in electronics engineering and control theory. Within a very short time, the input of the general system changes from zero to one i.e. it is the output of the system. This time behaviors of the output of the general system are represented by step response.

(d)

Interpretation Introduction

Interpretation:

The dynamics conductivity cell of solution (b) and (c) needs to be compared.

Concept introduction:

The main importance of the concept of step response in electronics engineering and control theory. Within a very short time, the input of the general system changes from zero to one i.e. it is the output of the system. This time behaviors of the output of the general system are represented by step response.