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First order system is defined as :
- a)Number of poles at origin
- b)Order of the differential equation
- c)Total number of poles of equation
- d)Total number of poles and order of equation
Correct answer is option 'D'. Can you explain this answer?
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First order system is defined as :a)Number of poles at originb)Order o...
Answer: d
Explanation: First order system is defined by total number of poles and also which is same as the order of differential equation.
Explanation: First order system is defined by total number of poles and also which is same as the order of differential equation.
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First order system is defined as :a)Number of poles at originb)Order o...
Introduction:
A first-order system refers to a system that can be represented by a first-order differential equation. It is commonly used to model various physical systems in engineering. In this question, we are asked to identify the correct definition of a first-order system.
Explanation:
To understand the correct definition of a first-order system, let's analyze each option:
a) Number of poles at origin:
The number of poles at the origin represents the number of terms in the transfer function that have denominators with a root at the origin. While the number of poles at the origin can provide information about the system's stability, it does not define the order of the system.
b) Order of the differential equation:
The order of the differential equation represents the highest derivative present in the equation. For example, a first-order differential equation has a derivative of the first order. While the order of the differential equation is related to the order of the system, it does not provide the complete definition of a first-order system.
c) Total number of poles of the equation:
The total number of poles of the equation refers to the number of roots of the transfer function's denominator. While the total number of poles is related to the order of the system, it does not provide the complete definition of a first-order system.
d) Total number of poles and order of the equation:
This option is the correct definition of a first-order system. A first-order system is characterized by both the total number of poles and the order of the differential equation. The order of the differential equation represents the highest derivative present, and the total number of poles represents the number of roots in the transfer function's denominator.
Conclusion:
In conclusion, a first-order system is defined by both the total number of poles and the order of the differential equation. While other options may be related to the characteristics of a first-order system, they do not provide the complete definition. Therefore, option 'd' is the correct answer.
A first-order system refers to a system that can be represented by a first-order differential equation. It is commonly used to model various physical systems in engineering. In this question, we are asked to identify the correct definition of a first-order system.
Explanation:
To understand the correct definition of a first-order system, let's analyze each option:
a) Number of poles at origin:
The number of poles at the origin represents the number of terms in the transfer function that have denominators with a root at the origin. While the number of poles at the origin can provide information about the system's stability, it does not define the order of the system.
b) Order of the differential equation:
The order of the differential equation represents the highest derivative present in the equation. For example, a first-order differential equation has a derivative of the first order. While the order of the differential equation is related to the order of the system, it does not provide the complete definition of a first-order system.
c) Total number of poles of the equation:
The total number of poles of the equation refers to the number of roots of the transfer function's denominator. While the total number of poles is related to the order of the system, it does not provide the complete definition of a first-order system.
d) Total number of poles and order of the equation:
This option is the correct definition of a first-order system. A first-order system is characterized by both the total number of poles and the order of the differential equation. The order of the differential equation represents the highest derivative present, and the total number of poles represents the number of roots in the transfer function's denominator.
Conclusion:
In conclusion, a first-order system is defined by both the total number of poles and the order of the differential equation. While other options may be related to the characteristics of a first-order system, they do not provide the complete definition. Therefore, option 'd' is the correct answer.
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First order system is defined as :a)Number of poles at originb)Order of the differential equationc)Total number of poles of equationd)Total number of poles and order of equationCorrect answer is option 'D'. Can you explain this answer?
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