Phase Constant in Telephone Cable Calculator

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Transmission Line & Antenna Theory

Transmission Line Characteristics

✖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.ⓘ Angular Velocity [ω]			+10% -10%
✖Resistance is the component of the total impedance that represents the opposition to the flow of electrical current due to the resistive properties of the transmission line itself.ⓘ Resistance [R]			+10% -10%
✖Capacitance is the ratio of the amount of electric charge stored on a conductor to a difference in electric potential.ⓘ Capacitance [C]			+10% -10%

✖Phase constant refers to a parameter that describes the phase change of an electromagnetic wave as it propagates through a medium. It is denoted by the symbol β (beta).ⓘ Phase Constant in Telephone Cable [Φ]

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Formula

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Phase Constant in Telephone Cable

Formula

`"Φ" = sqrt(("ω"*"R"*"C")/2)`

Example

`"0.407124rad/s"=sqrt(("2000rad/s"*"12.75Ω"*"13μF")/2)`

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Phase Constant in Telephone Cable Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2)
Φ = sqrt((ω*R*C)/2)
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 - (Measured in Radian per Second) - Phase constant refers to a parameter that describes the phase change of an electromagnetic wave as it propagates through a medium. It is denoted by the symbol β (beta).
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.
Resistance - (Measured in Ohm) - Resistance is the component of the total impedance that represents the opposition to the flow of electrical current due to the resistive properties of the transmission line itself.
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: 2000 Radian per Second --> 2000 Radian per Second No Conversion Required
Resistance: 12.75 Ohm --> 12.75 Ohm No Conversion Required
Capacitance: 13 Microfarad --> 1.3E-05 Farad (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ = sqrt((ω*R*C)/2) --> sqrt((2000*12.75*1.3E-05)/2)

Evaluating ... ...

Φ = 0.407124059716446

STEP 3: Convert Result to Output's Unit

0.407124059716446 Radian per Second --> No Conversion Required

FINAL ANSWER

0.407124059716446 ≈ 0.407124 Radian per Second <-- Phase Constant

(Calculation completed in 00.004 seconds)

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Created by Vidyashree V

BMS College of Engineering (BMSCE), Bangalore

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Jayawantrao Sawant College of Engineering (JSCOE), Pune

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< 15 Transmission Line & Antenna Theory Calculators

Gain of Parabolic Reflector Antenna

Go Gain of Parabolic Reflector Antenna = 10*log10(Efficiency Factor of Parabolic Reflector*(pi*Parabolic Reflector Diameter/Wavelength)^2)

Velocity of Propagation in Telephonic Cable

Go Velocity of Propagation in Telephonic Cable = sqrt((2*Angular Velocity)/(Resistance*Capacitance))

Phase Constant in Telephone Cable

Go Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2)

Return Loss(dB)

Go Return Loss = 20*log10(Incident Power Fed into Antenna/Reflected Power by Antenna)

Parallel Waveguide Distance from Cutoff Wavenumber

Go Parallel Waveguide Distance = (Mode Index*pi)/Cutoff Wavenumber

Cutoff Wavenumber in TM and TE Mode

Go Cutoff Wavenumber = (Mode Index*pi)/Parallel Waveguide Distance

Focal Length of Reflector

Go Focal Length of Reflector = ((Parabolic Reflector Diameter^2)/(16*Depth of Parabola))

Polarization Mismatch Loss

Go Polarization Mismatch Loss = -20*log10(cos(Theta))

Minimum Distance from Antenna

Go Minimum Distance from Antenna = (2*Parabolic Reflector Diameter^2)/Wavelength

Beamwidth of Reflector

Go Beamwidth = (70*Wavelength)/Parabolic Reflector Diameter

Voltage Maxima

Go Voltage Maxima = Incident Voltage+Reflected Voltage

Voltage Minima

Go Voltage Minima = Incident Voltage-Reflected Voltage

Current Maxima

Go Current Maxima = Incident Current+Reflected Current

Current Minima

Go Current Minima = Incident Current-Reflected Current

Velocity Factor

Go Velocity Factor = 1/(sqrt(Dielectric Constant))

Phase Constant in Telephone Cable Formula

Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2)
Φ = sqrt((ω*R*C)/2)

What is Phase constant in context to Transmission line?

Phase constant, it is the imaginary component of the propagation constant. It gives us the phase of the signal along a transmission line, at a constant time. Its unit is radians/meter, but we often convert it to degrees/meter.

How to Calculate Phase Constant in Telephone Cable?

Phase Constant in Telephone Cable calculator uses Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2) to calculate the Phase Constant, The Phase Constant in Telephone Cable formula is defined as the the phase constant refers to the phase velocity of the electrical signals propagating through the cable. It is a measure of how quickly the phase of the signal changes with respect to time. Phase Constant is denoted by Φ symbol.

How to calculate Phase Constant in Telephone Cable using this online calculator? To use this online calculator for Phase Constant in Telephone Cable, enter Angular Velocity (ω), Resistance (R) & Capacitance (C) and hit the calculate button. Here is how the Phase Constant in Telephone Cable calculation can be explained with given input values -> 0.407124 = sqrt((2000*12.75*1.3E-05)/2).

FAQ

What is Phase Constant in Telephone Cable?

The Phase Constant in Telephone Cable formula is defined as the the phase constant refers to the phase velocity of the electrical signals propagating through the cable. It is a measure of how quickly the phase of the signal changes with respect to time and is represented as Φ = sqrt((ω*R*C)/2) or Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2). 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, Resistance is the component of the total impedance that represents the opposition to the flow of electrical current due to the resistive properties of the transmission line itself & 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 in Telephone Cable?

The Phase Constant in Telephone Cable formula is defined as the the phase constant refers to the phase velocity of the electrical signals propagating through the cable. It is a measure of how quickly the phase of the signal changes with respect to time is calculated using Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2). To calculate Phase Constant in Telephone Cable, you need Angular Velocity (ω), Resistance (R) & Capacitance (C). With our tool, you need to enter the respective value for Angular Velocity, Resistance & 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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