Velocity Propagation in Lossless Line Calculator

✖series Inductance in Line is directly proportional to the natural logarithm of the ratio of outer and inner conductor diameters.ⓘ Series Inductance in Line [l]			+10% -10%
✖Series Capacitance in the Line is defined as the capacitance that is distributed along the length of the line and is connected in series with the conductors.ⓘ Series Capacitance in the Line [c]			+10% -10%

✖Velocity Propagation in Lossless Line is defined as the speed at which an electrical signal travels along the transmission line.ⓘ Velocity Propagation in Lossless Line [V_p]

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Velocity Propagation in Lossless Line

Formula

`"V"_{"p"} = 1/sqrt("l"*"c")`

Example

`"0.566139m/s"=1/sqrt("2.4H"*"1.3F")`

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Velocity Propagation in Lossless Line Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity Propagation in Lossless Line = 1/sqrt(Series Inductance in Line*Series Capacitance in the Line)
V_p = 1/sqrt(l*c)
This formula uses 1 Functions, 3 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 Propagation in Lossless Line - (Measured in Meter per Second) - Velocity Propagation in Lossless Line is defined as the speed at which an electrical signal travels along the transmission line.
Series Inductance in Line - (Measured in Henry) - series Inductance in Line is directly proportional to the natural logarithm of the ratio of outer and inner conductor diameters.
Series Capacitance in the Line - (Measured in Farad) - Series Capacitance in the Line is defined as the capacitance that is distributed along the length of the line and is connected in series with the conductors.

STEP 1: Convert Input(s) to Base Unit

Series Inductance in Line: 2.4 Henry --> 2.4 Henry No Conversion Required
Series Capacitance in the Line: 1.3 Farad --> 1.3 Farad No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_p = 1/sqrt(l*c) --> 1/sqrt(2.4*1.3)

Evaluating ... ...

V_p = 0.566138517072298

STEP 3: Convert Result to Output's Unit

0.566138517072298 Meter per Second --> No Conversion Required

FINAL ANSWER

0.566138517072298 ≈ 0.566139 Meter per Second <-- Velocity Propagation in Lossless Line

(Calculation completed in 00.004 seconds)

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Created by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

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< 8 AC Transmission Line Analysis Calculators

Phase Constant of Compensated Line

Go Phase Constant in Compensated Line = Phase Constant in Uncompensated Line*sqrt((1-Degree in Series Compensation)*(1-Degree in Shunt Compensation))

Surge Impedance of Compensated Line

Go Surge Impedance in Compensated Line = Natural Impedance in Line*sqrt((1-Degree in Series Compensation)/(1-Degree in Shunt Compensation))

Velocity Propagation in Lossless Line

Go Velocity Propagation in Lossless Line = 1/sqrt(Series Inductance in Line*Series Capacitance in the Line)

Thevenin's Voltage of Line

Go Thevenin's Voltage of Line = Sending End Voltage/cos(Electrical Length of Line)

Wavelength Propagation in Lossless Line

Go Wavelength Propagation in Lossless Line = Velocity Propagation in Lossless Line/Lossless Line Frequency

Source Current in Ideal Compensator

Go Source Current in Ideal Compensator = Load Current in Ideal Compensator-Compensator Current

Electrical Length of Line

Go Electrical Length of Line = Phase Constant in Compensated Line*Line Length

Effective Conductance of Load

Go Effective Conductance in Load = Real Power of Load/RMS Voltage in SVC^2

Velocity Propagation in Lossless Line Formula

Velocity Propagation in Lossless Line = 1/sqrt(Series Inductance in Line*Series Capacitance in the Line)
V_p = 1/sqrt(l*c)

What are the requirements of Velocity Propagation in Lossless Line?

In a lossless transmission line, the velocity of propagation is a crucial parameter that influences the performance of the line, This is the speed at which signals or disturbances travel along the transmission line. The main requirement of this is to provide accurate signal timing, impedance matching, phase consistency, and signal integrity in various applications, including communication systems, RF systems, and power distribution networks.

How to Calculate Velocity Propagation in Lossless Line?

Velocity Propagation in Lossless Line calculator uses Velocity Propagation in Lossless Line = 1/sqrt(Series Inductance in Line*Series Capacitance in the Line) to calculate the Velocity Propagation in Lossless Line, The Velocity Propagation in Lossless Line formula is inversely proportional to the square root of the product of series inductance and series capacitance of a Line. Velocity Propagation in Lossless Line is denoted by V_p symbol.

How to calculate Velocity Propagation in Lossless Line using this online calculator? To use this online calculator for Velocity Propagation in Lossless Line, enter Series Inductance in Line (l) & Series Capacitance in the Line (c) and hit the calculate button. Here is how the Velocity Propagation in Lossless Line calculation can be explained with given input values -> 0.566139 = 1/sqrt(2.4*1.3).

FAQ

What is Velocity Propagation in Lossless Line?

The Velocity Propagation in Lossless Line formula is inversely proportional to the square root of the product of series inductance and series capacitance of a Line and is represented as V_p = 1/sqrt(l*c) or Velocity Propagation in Lossless Line = 1/sqrt(Series Inductance in Line*Series Capacitance in the Line). series Inductance in Line is directly proportional to the natural logarithm of the ratio of outer and inner conductor diameters & Series Capacitance in the Line is defined as the capacitance that is distributed along the length of the line and is connected in series with the conductors.

How to calculate Velocity Propagation in Lossless Line?

The Velocity Propagation in Lossless Line formula is inversely proportional to the square root of the product of series inductance and series capacitance of a Line is calculated using Velocity Propagation in Lossless Line = 1/sqrt(Series Inductance in Line*Series Capacitance in the Line). To calculate Velocity Propagation in Lossless Line, you need Series Inductance in Line (l) & Series Capacitance in the Line (c). With our tool, you need to enter the respective value for Series Inductance in Line & Series Capacitance in the Line 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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