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Velocity of Propagation in Telephonic Cable Calculator

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Transmission Line and 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%

✖Velocity of propagation in telephonic cable also known as the propagation velocity or phase velocity. It's the speed at which an electrical signal or electromagnetic wave travels through a medium.ⓘ Velocity of Propagation in Telephonic Cable [V_P]

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Velocity of Propagation in Telephonic Cable Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Velocity of Propagation in Telephonic Cable - (Measured in Meter per Second) - Velocity of propagation in telephonic cable also known as the propagation velocity or phase velocity. It's the speed at which an electrical signal or electromagnetic wave travels through a medium.
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

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

Evaluating ... ...

V_P = 4912.50750789075

STEP 3: Convert Result to Output's Unit

4912.50750789075 Meter per Second --> No Conversion Required

FINAL ANSWER

4912.50750789075 ≈ 4912.508 Meter per Second <-- Velocity of Propagation in Telephonic Cable

(Calculation completed in 00.004 seconds)

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< Transmission Line and Antenna Theory Calculators

Velocity of Propagation in Telephonic Cable

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

Phase Constant in Telephone Cable

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

Voltage Maxima

LaTeX Go Voltage Maxima = Incident Voltage+Reflected Voltage

Velocity Factor

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

Velocity of Propagation in Telephonic Cable Formula

LaTeX Go

Velocity of Propagation in Telephonic Cable = sqrt((2*Angular Velocity)/(Resistance*Capacitance))
V_P = sqrt((2*ω)/(R*C))

What is the significance of Velocity of Propagation?

The velocity of propagation holds significant importance in the study of waves as it dictates how quickly a wavefront travels through a given medium. In different contexts, such as electromagnetic waves, sound waves, or waves on a string, this velocity is crucial for understanding and predicting wave behavior.

How to Calculate Velocity of Propagation in Telephonic Cable?

Velocity of Propagation in Telephonic Cable calculator uses Velocity of Propagation in Telephonic Cable = sqrt((2*Angular Velocity)/(Resistance*Capacitance)) to calculate the Velocity of Propagation in Telephonic Cable, The Velocity of Propagation in Telephonic Cable formula also known as the propagation velocity or phase velocity is the speed at which an electrical signal or electromagnetic wave travels through a medium. Velocity of propagation is a measure of how fast a signal travels over time, or the speed of the transmitted signal as compared to the speed of light. Velocity of Propagation in Telephonic Cable is denoted by V_P symbol.

How to calculate Velocity of Propagation in Telephonic Cable using this online calculator? To use this online calculator for Velocity of Propagation in Telephonic Cable, enter Angular Velocity (ω), Resistance (R) & Capacitance (C) and hit the calculate button. Here is how the Velocity of Propagation in Telephonic Cable calculation can be explained with given input values -> 4912.508 = sqrt((2*2000)/(12.75*1.3E-05)).

FAQ

What is Velocity of Propagation in Telephonic Cable?

The Velocity of Propagation in Telephonic Cable formula also known as the propagation velocity or phase velocity is the speed at which an electrical signal or electromagnetic wave travels through a medium. Velocity of propagation is a measure of how fast a signal travels over time, or the speed of the transmitted signal as compared to the speed of light and is represented as V_P = sqrt((2*ω)/(R*C)) or Velocity of Propagation in Telephonic Cable = sqrt((2*Angular Velocity)/(Resistance*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, 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 Velocity of Propagation in Telephonic Cable?

The Velocity of Propagation in Telephonic Cable formula also known as the propagation velocity or phase velocity is the speed at which an electrical signal or electromagnetic wave travels through a medium. Velocity of propagation is a measure of how fast a signal travels over time, or the speed of the transmitted signal as compared to the speed of light is calculated using Velocity of Propagation in Telephonic Cable = sqrt((2*Angular Velocity)/(Resistance*Capacitance)). To calculate Velocity of Propagation in Telephonic 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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