Whether a tank having a fixed outflow rate by a constant speed pump can reach steady-state on changing the inlet flow rate or not needs to be explained. Whether it is possible to calculate the steady-state gain for the given transfer function or not needs to be determined. Concept introduction: Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input. Though output is not responding as a change in input value, not declining to zero nor oscillating out of the control. If the response of the amplifier is in the linear form then the gain will be the same across the range of input settings.

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Answer 1

Question

Chapter 5, Problem 5.25E

Interpretation Introduction

Interpretation:

Whether a tank having a fixed outflow rate by a constant speed pump can reach steady-state on changing the inlet flow rate or not needs to be explained. Whether it is possible to calculate the steady-state gain for the given transfer function or not needs to be determined.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Though output is not responding as a change in input value, not declining to zero nor oscillating out of the control.

If the response of the amplifier is in the linear form then the gain will be the same across the range of input settings.

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Answer 2

Question

Chapter 5, Problem 5.25E

Interpretation Introduction

Interpretation:

Whether a tank having a fixed outflow rate by a constant speed pump can reach steady-state on changing the inlet flow rate or not needs to be explained. Whether it is possible to calculate the steady-state gain for the given transfer function or not needs to be determined.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Though output is not responding as a change in input value, not declining to zero nor oscillating out of the control.

If the response of the amplifier is in the linear form then the gain will be the same across the range of input settings.

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Answer 3

Question

Chapter 5, Problem 5.25E

Interpretation Introduction

Interpretation:

Whether a tank having a fixed outflow rate by a constant speed pump can reach steady-state on changing the inlet flow rate or not needs to be explained. Whether it is possible to calculate the steady-state gain for the given transfer function or not needs to be determined.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Though output is not responding as a change in input value, not declining to zero nor oscillating out of the control.

If the response of the amplifier is in the linear form then the gain will be the same across the range of input settings.

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Answer 4

Question

Chapter 5, Problem 5.25E

Interpretation Introduction

Interpretation:

Whether a tank having a fixed outflow rate by a constant speed pump can reach steady-state on changing the inlet flow rate or not needs to be explained. Whether it is possible to calculate the steady-state gain for the given transfer function or not needs to be determined.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Though output is not responding as a change in input value, not declining to zero nor oscillating out of the control.

If the response of the amplifier is in the linear form then the gain will be the same across the range of input settings.

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Answer 5

Chapter 5, Problem 5.25E

Interpretation Introduction

Interpretation:

Whether a tank having a fixed outflow rate by a constant speed pump can reach steady-state on changing the inlet flow rate or not needs to be explained. Whether it is possible to calculate the steady-state gain for the given transfer function or not needs to be determined.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Though output is not responding as a change in input value, not declining to zero nor oscillating out of the control.

If the response of the amplifier is in the linear form then the gain will be the same across the range of input settings.

Answer 6

Chapter 5, Problem 5.25E

Interpretation Introduction

Interpretation:

Whether a tank having a fixed outflow rate by a constant speed pump can reach steady-state on changing the inlet flow rate or not needs to be explained. Whether it is possible to calculate the steady-state gain for the given transfer function or not needs to be determined.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Though output is not responding as a change in input value, not declining to zero nor oscillating out of the control.

If the response of the amplifier is in the linear form then the gain will be the same across the range of input settings.

Answer 7

Chapter 5, Problem 5.25E

Interpretation Introduction

Interpretation:

Whether a tank having a fixed outflow rate by a constant speed pump can reach steady-state on changing the inlet flow rate or not needs to be explained. Whether it is possible to calculate the steady-state gain for the given transfer function or not needs to be determined.

Concept introduction:

Steady-state gain is the steady-state value of a transfer function that has been attended by a given unit step in the input.

Though output is not responding as a change in input value, not declining to zero nor oscillating out of the control.

If the response of the amplifier is in the linear form then the gain will be the same across the range of input settings.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 5 - Prob. 5.1E Ch. 5 - Prob. 5.2E Ch. 5 - Prob. 5.3E Ch. 5 - Prob. 5.4E Ch. 5 - Prob. 5.5E Ch. 5 - Prob. 5.6E Ch. 5 - Appelpolscher has just left a meeting with Stella...Ch. 5 - Prob. 5.8E Ch. 5 - Prob. 5.9E Ch. 5 - Prob. 5.10E

Solution Summary: The author explains the steady-state gain of a transfer function, stating that the tank's outflow rate cannot be reached if the inlet flow rate is subject to the step change.

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