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A first order instrument is characterized by
- a)Time constant only
- b)Static sensitivity and time constant
- c)static sensitivity and damping coefficient
- d)Static sensitivity, damping coefficient & natural frequency of oscillations
Correct answer is option 'B'. Can you explain this answer?
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A first order instrument is characterized bya)Time constant onlyb)Stat...
A first order system can be represented as
Where, T is time constant.
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Where, T is time constant.
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A first order instrument is characterized bya)Time constant onlyb)Stat...
First Order Instrument
A first order instrument is a type of instrument that is characterized by its response to a step input. It is a simple system that can be modeled by a first order differential equation. The response of a first order instrument can be described by its time constant and static sensitivity.
Static Sensitivity
The static sensitivity of an instrument is a measure of how much the output of the instrument changes in response to a change in the input. It is the ratio of the change in the output to the change in the input. The static sensitivity of a first order instrument is a measure of how much the output changes in response to a change in the input when the input is constant.
Time Constant
The time constant of a first order instrument is the time it takes for the output of the instrument to reach 63.2% of its final value in response to a step change in the input. It is a measure of how quickly the instrument responds to a change in the input.
Static Sensitivity and Time Constant
The correct answer to the question is option 'B' because a first order instrument is characterized by both its static sensitivity and time constant. The static sensitivity of the instrument determines how much the output changes in response to a change in the input, while the time constant determines how quickly the instrument responds to the change in input.
Damping Coefficient and Natural Frequency of Oscillations
Option 'D' is incorrect because a first order instrument does not have a damping coefficient and natural frequency of oscillations. These parameters are associated with second order instruments, which are more complex systems that can be modeled by a second order differential equation.
A first order instrument is a type of instrument that is characterized by its response to a step input. It is a simple system that can be modeled by a first order differential equation. The response of a first order instrument can be described by its time constant and static sensitivity.
Static Sensitivity
The static sensitivity of an instrument is a measure of how much the output of the instrument changes in response to a change in the input. It is the ratio of the change in the output to the change in the input. The static sensitivity of a first order instrument is a measure of how much the output changes in response to a change in the input when the input is constant.
Time Constant
The time constant of a first order instrument is the time it takes for the output of the instrument to reach 63.2% of its final value in response to a step change in the input. It is a measure of how quickly the instrument responds to a change in the input.
Static Sensitivity and Time Constant
The correct answer to the question is option 'B' because a first order instrument is characterized by both its static sensitivity and time constant. The static sensitivity of the instrument determines how much the output changes in response to a change in the input, while the time constant determines how quickly the instrument responds to the change in input.
Damping Coefficient and Natural Frequency of Oscillations
Option 'D' is incorrect because a first order instrument does not have a damping coefficient and natural frequency of oscillations. These parameters are associated with second order instruments, which are more complex systems that can be modeled by a second order differential equation.
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A first order instrument is characterized bya)Time constant onlyb)Static sensitivity and time constantc)static sensitivity and damping coefficientd)Static sensitivity, damping coefficient & natural frequency of oscillationsCorrect answer is option 'B'. Can you explain this answer?
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