Phase Constant of Distortion Less Line Solution

STEP 0: Pre-Calculation Summary
Formula Used
Phase Constant of Distortion Less Line = Angular Velocity*sqrt(Inductance*Capacitance)
β = ω*sqrt(L*C)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Phase Constant of Distortion Less Line - Phase Constant of Distortion Less Line is the rate at which the phase of a signal changes as it travels along the line.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Inductance - (Measured in Henry) - Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.
Capacitance - (Measured in Farad) - Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
STEP 1: Convert Input(s) to Base Unit
Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required
Inductance: 5.7 Henry --> 5.7 Henry No Conversion Required
Capacitance: 3 Farad --> 3 Farad No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
β = ω*sqrt(L*C) --> 2*sqrt(5.7*3)
Evaluating ... ...
β = 8.27042925125413
STEP 3: Convert Result to Output's Unit
8.27042925125413 --> No Conversion Required
FINAL ANSWER
8.27042925125413 8.270429 <-- Phase Constant of Distortion Less Line
(Calculation completed in 00.004 seconds)

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BMS College of Engineering (BMSCE), Bangalore,India
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24 Fundamentals of Analog Communications Calculators

Modulation Index with respect to Maximum and Minimum Amplitude
​ Go Modulation Index = (Maximum Amplitude of AM Wave-Minimum Amplitude of AM Wave)/(Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)
Image Rejection Ratio
​ Go Image Rejection Ratio = (Image Frequency/Received Signal Frequency)-(Received Signal Frequency/Image Frequency)
Phase Constant of Distortion Less Line
​ Go Phase Constant of Distortion Less Line = Angular Velocity*sqrt(Inductance*Capacitance)
Quality Factor of Tuned Circuit
​ Go Quality Factor of Tuned Circuit = (2*pi*Resonant Frequency*Inductance)/Resistance
Modulation Index with respect to Power
​ Go Modulation Index = sqrt(2*((Average Total Power of AM Wave/Average Carrier Power of AM Wave)-1))
Cyclic Frequency of Superheterodyne Receiver
​ Go Cyclic Frequency = 1/(2*pi*sqrt(Inductance*Capacitance))
Rejection Ratio
​ Go Rejection Ratio = sqrt(1+(Quality Factor of Tuned Circuit^2*Image Rejection Ratio^2))
Image Frequency Rejection Ratio of Superheterodyne Receiver
​ Go Image Frequency Rejection Ratio = sqrt(1+(Quality Factor)^2*(Coupling Factor)^2)
Phase Velocity of Distortion Less Line
​ Go Phase Velocity of Distortion Less Line = 1/sqrt(Inductance*Capacitance)
Amplitude of Carrier Signal
​ Go Amplitude of Carrier Signal = (Maximum Amplitude of AM Wave+Minimum Amplitude of AM Wave)/2
Modulation Index with respect to Amplitude Sensitivity
​ Go Modulation Index = Amplitude Sensitivity of Modulator*Amplitude of Modulating Signal
Maximum Amplitude
​ Go Maximum Amplitude of AM Wave = Amplitude of Carrier Signal*(1+Modulation Index^2)
Minimum Amplitude
​ Go Minimum Amplitude of AM Wave = Amplitude of Carrier Signal*(1-Modulation Index^2)
Intermediate Frequency
​ Go Intermediate Frequency = (Local Oscillation Frequency-Received Signal Frequency)
Transmission Efficiency with respect to Modulation Index
​ Go Transmission Efficiency of AM Wave = Modulation Index^2/(2+Modulation Index^2)
Modulation Index
​ Go Modulation Index = Amplitude of Modulating Signal/Amplitude of Carrier Signal
Bandwidth of Tuned Circuit
​ Go Tuned Circuit Bandwidth = Resonant Frequency/Quality Factor of Tuned Circuit
Deviation Ratio
​ Go Deviation Ratio = Maximum Frequency Deviation/Maximum Modulating Frequency
Image Frequency
​ Go Image Frequency = Received Signal Frequency+(2*Intermediate Frequency)
Carrier Frequency
​ Go Carrier Frequency = Angular Frequency of Modulating Signal/(2*pi)
Carrier Power
​ Go Carrier Power = (Amplitude of Carrier Signal^2)/(2*Resistance)
Crest Factor
​ Go Crest Factor = Peak Value of Signal/RMS Value of Signal
Figure of Merit of Superheterodyne Receiver
​ Go Figure of Merit = 1/Noise Figure
Noise Figure of Superheterodyne Receiver
​ Go Noise Figure = 1/Figure of Merit

Phase Constant of Distortion Less Line Formula

Phase Constant of Distortion Less Line = Angular Velocity*sqrt(Inductance*Capacitance)
β = ω*sqrt(L*C)

What is meant by attenuation constant?

The real part of the propagation constant in any electromagnetic propagation medium.The attenuation constant is usually expressed as a numerical value per unit length.

How to Calculate Phase Constant of Distortion Less Line?

Phase Constant of Distortion Less Line calculator uses Phase Constant of Distortion Less Line = Angular Velocity*sqrt(Inductance*Capacitance) to calculate the Phase Constant of Distortion Less Line, Phase Constant of Distortion Less Line is the rate at which the phase of a signal changes as it travels along the line. Phase Constant of Distortion Less Line is denoted by β symbol.

How to calculate Phase Constant of Distortion Less Line using this online calculator? To use this online calculator for Phase Constant of Distortion Less Line, enter Angular Velocity (ω), Inductance (L) & Capacitance (C) and hit the calculate button. Here is how the Phase Constant of Distortion Less Line calculation can be explained with given input values -> 0.827043 = 2*sqrt(5.7*3).

FAQ

What is Phase Constant of Distortion Less Line?
Phase Constant of Distortion Less Line is the rate at which the phase of a signal changes as it travels along the line and is represented as β = ω*sqrt(L*C) or Phase Constant of Distortion Less Line = Angular Velocity*sqrt(Inductance*Capacitance). The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time, Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it & Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.
How to calculate Phase Constant of Distortion Less Line?
Phase Constant of Distortion Less Line is the rate at which the phase of a signal changes as it travels along the line is calculated using Phase Constant of Distortion Less Line = Angular Velocity*sqrt(Inductance*Capacitance). To calculate Phase Constant of Distortion Less Line, you need Angular Velocity (ω), Inductance (L) & Capacitance (C). With our tool, you need to enter the respective value for Angular Velocity, Inductance & Capacitance 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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