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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BMS College of Engineering (BMSCE), Bangalore
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Jayawantrao Sawant College of Engineering (JSCOE), Pune
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Phase Constant in Telephone Cable
​ LaTeX ​ Go Phase Constant = sqrt((Angular Velocity*Resistance*Capacitance)/2)
Voltage Maxima
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Phase Constant in Telephone Cable Formula

​LaTeX ​Go
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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