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In a driving point function, poles and zeros must adhere to specific restrictions to ensure system stability and physical realizability. Poles should be located in the left half of the complex plane for stability, while zeros can be placed anywhere, though their placement affects the system's response. Additionally, the number of poles must be greater than or equal to the number of zeros for the function to remain proper. This ensures that the driving point function behaves appropriately within the constraints of physical systems.
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What are the restriction on the location of poles and zeros in driving point function?
In a driving point function, poles and zeros must adhere to specific restrictions based on the nature of the system being analyzed. Poles, which represent system dynamics, must be located in the left half of the complex plane for the system to be stable (for continuous-time systems). Zeros can be located anywhere in the complex plane, but their placement can influence the system's frequency response. Additionally, for a physically realizable driving point function, poles and zeros must occur in conjugate pairs if they are not real.
Are the lines of longitude the same distance apart at the equator as they are at the poles?
No. All of the meridians merge in a single point at the poles.
Function of a magnetic compass?
The function of a magnetic compass is to show the direction toward the magnetic poles of the Earth. It is used as a navigation tool.
How do you find the height of a pole if you know how from the pole you are?
two vertical poles of equal height stand on either of a roadway wich is 20 ft wide. At a point in the roadway b/n the poles, the elevation of the taps of the poles are 30 degree and 60 degree. Find the height of the poles?
Why is it important to cancel common poles and zeros in the transfer function?
Canceling common poles and zeros in a transfer function is important because it simplifies the system's behavior and analysis. It helps to eliminate unnecessary complexity, revealing the true dynamics of the system and improving the accuracy of predictions. Additionally, this process can enhance stability and performance by clarifying the influence of remaining poles and zeros on system response. However, care must be taken to ensure that such cancellations do not lead to loss of important system characteristics or introduce non-minimum phase behavior.
What are the restriction on the location of poles and zeros in driving point function?
In a driving point function, poles and zeros must adhere to specific restrictions based on the nature of the system being analyzed. Poles, which represent system dynamics, must be located in the left half of the complex plane for the system to be stable (for continuous-time systems). Zeros can be located anywhere in the complex plane, but their placement can influence the system's frequency response. Additionally, for a physically realizable driving point function, poles and zeros must occur in conjugate pairs if they are not real.
When an RC driving point impedance function has zeros at s -2 and s-5 then the admissible poles for the function would be?
3
Poles and zeros of a driving point function of a network are simple and interlace on the jw axis The network consists of which elements?
L and C
The poles and zeros of a driving point function of a network are simple and interlaced on negative real axis with pole closest to the orginWith what type of network can it be realized?
The network function h(s) is actually the ratio of two polynomials functions i.e s(a) /s(b),The roots of the s(a) function are called zeros and the roots of the s(b) function are called poles.
Are the lines of longitude the same distance apart at the equator as they are at the poles?
No. All of the meridians merge in a single point at the poles.
What is the same about the north and south poles?
they are both at the point of the earth
Function of a magnetic compass?
The function of a magnetic compass is to show the direction toward the magnetic poles of the Earth. It is used as a navigation tool.
What is the farthest point on the Earth's surface from both magnetic poles?
the equator.
What is the starting point for all lines of longitude?
The North and South Poles.
During the solstices where do earths poles point in relation to the sun?
somewere
Is there anywhere on earth a compass will not work?
Yes, at the magnetic poles (North and South) a compass needle will not point to the true north, rather it will point vertically downwards or upwards. This is because the magnetic field lines converge at the poles.
Lines of longitude meet where?
Lines of longitude meet at the poles, both North and South. At the North Pole, all lines of longitude converge and meet at a single point. The same holds true for the South Pole, where lines of longitude also converge and meet at a single point.
