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The transfer function of a system is given by G(s) = K/(s(s 2)(s 4)). What is the type of this system? Ops: A. Type 0 B. Type 1 C. Type 2 D. Type 3?
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The transfer function of a system is given by G(s) = K/(s(s 2)(s 4)). ...
Type of System
The given transfer function G(s) can be represented as:
G(s) = K/(s * s^2 * s^4)
To determine the type of system, we need to find the number of poles at the origin (i.e., s = 0).
There are three poles at the origin, which means that the system is a Type 3 system.
Explanation
The type of a system is determined by the number of poles at the origin of the system's transfer function. The poles at the origin are the values of s that make the denominator of the transfer function equal to zero.
In general, the type of a system is equal to the number of poles at the origin that are not cancelled by zeros in the transfer function. A zero is a value of s that makes the numerator of the transfer function equal to zero.
For example, if the transfer function had a zero at the origin and two poles at the origin, then the system would be a Type 1 system (i.e., one pole at the origin is not cancelled by a zero).
In the given transfer function, there are three poles at the origin (i.e., s = 0) and no zeros. Therefore, all three poles contribute to the type of the system. Since there are three poles at the origin that are not cancelled by zeros, the system is a Type 3 system.
The given transfer function G(s) can be represented as:
G(s) = K/(s * s^2 * s^4)
To determine the type of system, we need to find the number of poles at the origin (i.e., s = 0).
There are three poles at the origin, which means that the system is a Type 3 system.
Explanation
The type of a system is determined by the number of poles at the origin of the system's transfer function. The poles at the origin are the values of s that make the denominator of the transfer function equal to zero.
In general, the type of a system is equal to the number of poles at the origin that are not cancelled by zeros in the transfer function. A zero is a value of s that makes the numerator of the transfer function equal to zero.
For example, if the transfer function had a zero at the origin and two poles at the origin, then the system would be a Type 1 system (i.e., one pole at the origin is not cancelled by a zero).
In the given transfer function, there are three poles at the origin (i.e., s = 0) and no zeros. Therefore, all three poles contribute to the type of the system. Since there are three poles at the origin that are not cancelled by zeros, the system is a Type 3 system.
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The transfer function of a system is given by G(s) = K/(s(s 2)(s 4)). What is the type of this system? Ops: A. Type 0 B. Type 1 C. Type 2 D. Type 3?
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