Propagation Constant using D Parameter (LTL) Calculator

✖D parameter is a generalized line constant in a transmission line.ⓘ D Parameter [D]			+10% -10%
✖Length is defined as the end to end distance of the conductor used in a long transmission line.ⓘ Length [L]			+10% -10%

✖Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.ⓘ Propagation Constant using D Parameter (LTL) [γ]

⎘ Copy

👎

Formula

✖

Propagation Constant using D Parameter (LTL)

Formula

`"γ" = acosh("D")/"L"`

Example

`"1.124102"=acosh("14.59")/"3m"`

Calculator

LaTeX

Reset

👍

Download Long Transmission Line Formulas PDF PDF Image

Propagation Constant using D Parameter (LTL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Propagation Constant = acosh(D Parameter)/Length
γ = acosh(D)/L
This formula uses 2 Functions, 3 Variables

Functions Used

cosh - The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2., cosh(Number)
acosh - Hyperbolic cosine function, is a function that takes a real number as an input and returns the angle whose hyperbolic cosine is that number., acosh(Number)

Variables Used

Propagation Constant - Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.
D Parameter - D parameter is a generalized line constant in a transmission line.
Length - (Measured in Meter) - Length is defined as the end to end distance of the conductor used in a long transmission line.

STEP 1: Convert Input(s) to Base Unit

D Parameter: 14.59 --> No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = acosh(D)/L --> acosh(14.59)/3

Evaluating ... ...

γ = 1.12410234417977

STEP 3: Convert Result to Output's Unit

1.12410234417977 --> No Conversion Required

FINAL ANSWER

1.12410234417977 ≈ 1.124102 <-- Propagation Constant

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Transmission Lines » Long Transmission Line » Line Parameters » Propagation Constant using D Parameter (LTL)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< 9 Line Parameters Calculators

Propagation Constant using B Parameter (LTL)

Go Propagation Constant = asinh(B Parameter/Characteristic Impedance)/Length

Propagation Constant using C Parameter (LTL)

Go Propagation Constant = asinh(C Parameter*Characteristic Impedance)/Length

Length using C Parameter (LTL)

Go Length = asinh(C Parameter*Characteristic Impedance)/Propagation Constant

Length using B Parameter (LTL)

Go Length = asinh(B Parameter/Characteristic Impedance)/Propagation Constant

Propagation Constant (LTL)

Go Propagation Constant = sqrt(Admittance*Impedance)

Propagation Constant using A Parameter (LTL)

Go Propagation Constant = acosh(A Parameter)/Length

Propagation Constant using D Parameter (LTL)

Go Propagation Constant = acosh(D Parameter)/Length

Length using D Parameter (LTL)

Go Length = acosh(D Parameter)/Propagation Constant

Length using A Parameter (LTL)

Go Length = acosh(A Parameter)/Propagation Constant

Propagation Constant using D Parameter (LTL) Formula

Propagation Constant = acosh(D Parameter)/Length
γ = acosh(D)/L

What are the 4 parameters of a line?

The transmission line has mainly four parameters, resistance, inductance, capacitance, and shunt conductance. These parameters are uniformly distributed along the line. Hence, it is also called the distributed parameter of the transmission line.

How to Calculate Propagation Constant using D Parameter (LTL)?

Propagation Constant using D Parameter (LTL) calculator uses Propagation Constant = acosh(D Parameter)/Length to calculate the Propagation Constant, The Propagation Constant using D Parameter (LTL) formula is defined as a sinusoidal electromagnetic wave is a measure of the change undergone by the amplitude and phase of the wave as it propagates. Propagation Constant is denoted by γ symbol.

How to calculate Propagation Constant using D Parameter (LTL) using this online calculator? To use this online calculator for Propagation Constant using D Parameter (LTL), enter D Parameter (D) & Length (L) and hit the calculate button. Here is how the Propagation Constant using D Parameter (LTL) calculation can be explained with given input values -> 0.868206 = acosh(14.59)/3.

FAQ

What is Propagation Constant using D Parameter (LTL)?

The Propagation Constant using D Parameter (LTL) formula is defined as a sinusoidal electromagnetic wave is a measure of the change undergone by the amplitude and phase of the wave as it propagates and is represented as γ = acosh(D)/L or Propagation Constant = acosh(D Parameter)/Length. D parameter is a generalized line constant in a transmission line & Length is defined as the end to end distance of the conductor used in a long transmission line.

How to calculate Propagation Constant using D Parameter (LTL)?

The Propagation Constant using D Parameter (LTL) formula is defined as a sinusoidal electromagnetic wave is a measure of the change undergone by the amplitude and phase of the wave as it propagates is calculated using Propagation Constant = acosh(D Parameter)/Length. To calculate Propagation Constant using D Parameter (LTL), you need D Parameter (D) & Length (L). With our tool, you need to enter the respective value for D Parameter & Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Propagation Constant?

In this formula, Propagation Constant uses D Parameter & Length. We can use 4 other way(s) to calculate the same, which is/are as follows -

Propagation Constant = acosh(A Parameter)/Length
Propagation Constant = asinh(B Parameter/Characteristic Impedance)/Length
Propagation Constant = sqrt(Admittance*Impedance)
Propagation Constant = asinh(C Parameter*Characteristic Impedance)/Length

Home

FREE PDFs

🔍 Search