Propagation Constant using A Parameter (LTL) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Propagation Constant = acosh(A Parameter)/Length
γ = acosh(A)/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.
A Parameter - A parameter is a generalized line constant in a two port 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
A Parameter: 20.7 --> No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γ = acosh(A)/L --> acosh(20.7)/3
Evaluating ... ...
γ = 1.24089897512327
STEP 3: Convert Result to Output's Unit
1.24089897512327 --> No Conversion Required
FINAL ANSWER
1.24089897512327 1.240899 <-- Propagation Constant
(Calculation completed in 00.020 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Line Parameters Calculators

Propagation Constant using B Parameter (LTL)
​ LaTeX ​ Go Propagation Constant = asinh(B Parameter/Characteristic Impedance)/Length
Length using C Parameter (LTL)
​ LaTeX ​ Go Length = asinh(C Parameter*Characteristic Impedance)/Propagation Constant
Propagation Constant using A Parameter (LTL)
​ LaTeX ​ Go Propagation Constant = acosh(A Parameter)/Length
Length using D Parameter (LTL)
​ LaTeX ​ Go Length = acosh(D Parameter)/Propagation Constant

Propagation Constant using A Parameter (LTL) Formula

​LaTeX ​Go
Propagation Constant = acosh(A Parameter)/Length
γ = acosh(A)/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 A Parameter (LTL)?

Propagation Constant using A Parameter (LTL) calculator uses Propagation Constant = acosh(A Parameter)/Length to calculate the Propagation Constant, The Propagation Constant using A 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 A Parameter (LTL) using this online calculator? To use this online calculator for Propagation Constant using A Parameter (LTL), enter A Parameter (A) & Length (L) and hit the calculate button. Here is how the Propagation Constant using A Parameter (LTL) calculation can be explained with given input values -> 1.239283 = acosh(20.7)/3.

FAQ

What is Propagation Constant using A Parameter (LTL)?
The Propagation Constant using A 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(A)/L or Propagation Constant = acosh(A Parameter)/Length. A parameter is a generalized line constant in a two port 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 A Parameter (LTL)?
The Propagation Constant using A 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(A Parameter)/Length. To calculate Propagation Constant using A Parameter (LTL), you need A Parameter (A) & Length (L). With our tool, you need to enter the respective value for A 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 A Parameter & Length. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Propagation Constant = asinh(B Parameter/Characteristic Impedance)/Length
  • Propagation Constant = sqrt(Admittance*Impedance)
  • Propagation Constant = asinh(C Parameter*Characteristic Impedance)/Length
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