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Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line. Check FAQs
γ=acosh(A)L
γ - Propagation Constant?A - A Parameter?L - Length?

Propagation Constant using A Parameter (LTL) Example

With values
With units
Only example

Here is how the Propagation Constant using A Parameter (LTL) equation looks like with Values.

Here is how the Propagation Constant using A Parameter (LTL) equation looks like with Units.

Here is how the Propagation Constant using A Parameter (LTL) equation looks like.

1.2409Edit=acosh(20.7Edit)3Edit
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Propagation Constant using A Parameter (LTL) Solution

Follow our step by step solution on how to calculate Propagation Constant using A Parameter (LTL)?

FIRST Step Consider the formula
γ=acosh(A)L
Next Step Substitute values of Variables
γ=acosh(20.7)3m
Next Step Prepare to Evaluate
γ=acosh(20.7)3
Next Step Evaluate
γ=1.24089897512327
LAST Step Rounding Answer
γ=1.2409

Propagation Constant using A Parameter (LTL) Formula Elements

Variables
Functions
Propagation Constant
Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.
Symbol: γ
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
A Parameter
A parameter is a generalized line constant in a two port transmission line.
Symbol: A
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Length
Length is defined as the end to end distance of the conductor used in a long transmission line.
Symbol: L
Measurement: LengthUnit: m
Note: Value should be greater than 0.
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.
Syntax: 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.
Syntax: acosh(Number)

Other Formulas to find Propagation Constant

​Go Propagation Constant using B Parameter (LTL)
γ=asinh(BZ0)L
​Go Propagation Constant (LTL)
γ=YZ
​Go Propagation Constant using C Parameter (LTL)
γ=asinh(CZ0)L
​Go Propagation Constant using D Parameter (LTL)
γ=acosh(D)L

Other formulas in Line Parameters category

​Go Length using C Parameter (LTL)
L=asinh(CZ0)γ
​Go Length using D Parameter (LTL)
L=acosh(D)γ
​Go Length using A Parameter (LTL)
L=acosh(A)γ
​Go Length using B Parameter (LTL)
L=asinh(BZ0)γ

How to Evaluate Propagation Constant using A Parameter (LTL)?

Propagation Constant using A Parameter (LTL) evaluator uses Propagation Constant = acosh(A Parameter)/Length to evaluate 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 evaluate Propagation Constant using A Parameter (LTL) using this online evaluator? To use this online evaluator for Propagation Constant using A Parameter (LTL), enter A Parameter (A) & Length (L) and hit the calculate button.

FAQs on Propagation Constant using A Parameter (LTL)

What is the formula to find Propagation Constant using A Parameter (LTL)?
The formula of Propagation Constant using A Parameter (LTL) is expressed as Propagation Constant = acosh(A Parameter)/Length. Here is an example- 1.239283 = acosh(20.7)/3.
How to calculate Propagation Constant using A Parameter (LTL)?
With A Parameter (A) & Length (L) we can find Propagation Constant using A Parameter (LTL) using the formula - Propagation Constant = acosh(A Parameter)/Length. This formula also uses Hyperbolic Cosine (cosh), Inverse Hyperbolic Cosine (acosh) function(s).
What are the other ways to Calculate Propagation Constant?
Here are the different ways to Calculate Propagation Constant-
  • Propagation Constant=asinh(B Parameter/Characteristic Impedance)/LengthOpenImg
  • Propagation Constant=sqrt(Admittance*Impedance)OpenImg
  • Propagation Constant=asinh(C Parameter*Characteristic Impedance)/LengthOpenImg
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