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Number of Asymptotes Calculator

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Fundamental Parameters Second Order System

✖The Number of Poles or the number of magnetic poles refers to the magnetic poles (NSNSNS……) that appear on the surface created by cutting the motor perpendicularly to the shaft.ⓘ Number of Poles [N]			+10% -10%
✖The Number of Zeroes is the number of finite open-loop zeros for the construction of the root locus.ⓘ Number of Zeroes [M]			+10% -10%

✖The Number of Asymptotes is the number of root locus branches starting at finite open loop poles and ending at infinite open loop zeros.ⓘ Number of Asymptotes [N_a]

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Number of Asymptotes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Asymptotes = Number of Poles-Number of Zeroes
N_a = N-M
This formula uses 3 Variables

Variables Used

Number of Asymptotes - The Number of Asymptotes is the number of root locus branches starting at finite open loop poles and ending at infinite open loop zeros.
Number of Poles - The Number of Poles or the number of magnetic poles refers to the magnetic poles (NSNSNS……) that appear on the surface created by cutting the motor perpendicularly to the shaft.
Number of Zeroes - The Number of Zeroes is the number of finite open-loop zeros for the construction of the root locus.

STEP 1: Convert Input(s) to Base Unit

Number of Poles: 13 --> No Conversion Required
Number of Zeroes: 6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_a = N-M --> 13-6

Evaluating ... ...

N_a = 7

STEP 3: Convert Result to Output's Unit

7 --> No Conversion Required

FINAL ANSWER

7 <-- Number of Asymptotes

(Calculation completed in 00.020 seconds)

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< Fundamental Parameters Calculators

Angle of Asymptotes

LaTeX Go Angle of Asymptotes = ((2*(modulus(Number of Poles-Number of Zeroes)-1)+1)*pi)/(modulus(Number of Poles-Number of Zeroes))

Bandwidth Frequency given Damping Ratio

LaTeX Go Bandwidth Frequency = Natural Frequency of Oscillation*(sqrt(1-(2*Damping Ratio^2))+sqrt(Damping Ratio^4-(4*Damping Ratio^2)+2))

Closed Loop Negative Feedback Gain

LaTeX Go Gain with Feedback = Open Loop Gain of an OP-AMP/(1+(Feedback Factor*Open Loop Gain of an OP-AMP))

Closed Loop Gain

LaTeX Go Closed-Loop Gain = 1/Feedback Factor

< Control System Design Calculators

Bandwidth Frequency given Damping Ratio

LaTeX Go Bandwidth Frequency = Natural Frequency of Oscillation*(sqrt(1-(2*Damping Ratio^2))+sqrt(Damping Ratio^4-(4*Damping Ratio^2)+2))

First Peak Undershoot

LaTeX Go Peak Undershoot = e^(-(2*Damping Ratio*pi)/(sqrt(1-Damping Ratio^2)))

First Peak Overshoot

LaTeX Go Peak Overshoot = e^(-(pi*Damping Ratio)/(sqrt(1-Damping Ratio^2)))

Delay Time

LaTeX Go Delay Time = (1+(0.7*Damping Ratio))/Natural Frequency of Oscillation

< Modelling Parameters Calculators

Damping Ratio or Damping Factor

LaTeX Go Damping Ratio = Damping Coefficient/(2*sqrt(Mass*Spring Constant))

Damped Natural Frequency

LaTeX Go Damped Natural Frequency = Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2)

Resonant Frequency

LaTeX Go Resonant Frequency = Natural Frequency of Oscillation*sqrt(1-2*Damping Ratio^2)

Resonant Peak

LaTeX Go Resonant Peak = 1/(2*Damping Ratio*sqrt(1-Damping Ratio^2))

Number of Asymptotes Formula

LaTeX Go

Number of Asymptotes = Number of Poles-Number of Zeroes
N_a = N-M

How many asymptotes can a function have?

A function can have at most two different horizontal asymptotes. A graph can approach a horizontal asymptote in many different ways; see Figure 8 in §1.6 of the text for graphical illustrations. In particular, a graph can, and often does, cross a horizontal asymptote.

How to Calculate Number of Asymptotes?

Number of Asymptotes calculator uses Number of Asymptotes = Number of Poles-Number of Zeroes to calculate the Number of Asymptotes, Number of Asymptotes is the number of root locus branches starting at finite open loop poles and ending at infinite open loop zeros. Number of Asymptotes is denoted by N_a symbol.

How to calculate Number of Asymptotes using this online calculator? To use this online calculator for Number of Asymptotes, enter Number of Poles (N) & Number of Zeroes (M) and hit the calculate button. Here is how the Number of Asymptotes calculation can be explained with given input values -> 7 = 13-6.

FAQ

What is Number of Asymptotes?

Number of Asymptotes is the number of root locus branches starting at finite open loop poles and ending at infinite open loop zeros and is represented as N_a = N-M or Number of Asymptotes = Number of Poles-Number of Zeroes. The Number of Poles or the number of magnetic poles refers to the magnetic poles (NSNSNS……) that appear on the surface created by cutting the motor perpendicularly to the shaft & The Number of Zeroes is the number of finite open-loop zeros for the construction of the root locus.

How to calculate Number of Asymptotes?

Number of Asymptotes is the number of root locus branches starting at finite open loop poles and ending at infinite open loop zeros is calculated using Number of Asymptotes = Number of Poles-Number of Zeroes. To calculate Number of Asymptotes, you need Number of Poles (N) & Number of Zeroes (M). With our tool, you need to enter the respective value for Number of Poles & Number of Zeroes and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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