Phase constant in telephone cable Solution

STEP 0: Pre-Calculation Summary
Formula Used
Phase constant = sqrt((Angular Velocity*Resistance*Capacitance)/2)
β = sqrt((ω*R*C)/2)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Phase constant - (Measured in Radian per Second) - Phase constant in telephone cable is the imaginary component of the propagation constant. In unit length the wave suffers a phase change of β radians.
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 a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.
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
Resistance: 10.1 Ohm --> 10.1 Ohm No Conversion Required
Capacitance: 13 Farad --> 13 Farad No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
β = sqrt((ω*R*C)/2) --> sqrt((2*10.1*13)/2)
Evaluating ... ...
β = 11.458621208505
STEP 3: Convert Result to Output's Unit
11.458621208505 Radian per Second --> No Conversion Required
FINAL ANSWER
11.458621208505 Radian per Second <-- Phase constant
(Calculation completed in 00.016 seconds)

Credits

Created by Vidyashree V
BMS College of Engineering (BMSCE), Bangalore
Vidyashree V has created this Calculator and 25+ more calculators!
Verified by Saiju Shah
Jayawantrao Sawant College of Engineering (JSCOE), Pune
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Phase constant in telephone cable Formula

Phase constant = sqrt((Angular Velocity*Resistance*Capacitance)/2)
β = 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 the imaginary part in the equation of propogation constant. It is so called because in unit length the wave suffers a phase change. Phase constant is denoted by β 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 -> 11.45862 = sqrt((2*10.1*13)/2).

FAQ

What is Phase constant in telephone cable?
The phase constant in telephone cable formula is the imaginary part in the equation of propogation constant. It is so called because in unit length the wave suffers a phase change and is represented as β = 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 a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm & 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 the imaginary part in the equation of propogation constant. It is so called because in unit length the wave suffers a phase change 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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