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Propagation Constant using C Parameter (LTL) Formula

GoPropagation Constant using A Parameter (LTL) Formula

GoPropagation Constant using B Parameter (LTL) Formula

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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 = a \frac{\sinh (C \cdot Z 0)}{L}

γ - Propagation Constant?C - C Parameter?Z₀ - Characteristic Impedance?L - Length?

Propagation Constant using C Parameter (LTL) Example

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

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

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

1.2401 = a \frac{\sinh (0.421 \cdot 48.989)}{3}

1.2401 = a \frac{\sinh (0.421S \cdot 48.989Ω)}{3m}

1.2401 = a \frac{\sinh (0.421 \cdot 48.989)}{3}

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Propagation Constant using C Parameter (LTL) Solution

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

FIRST Step Consider the formula

γ = a \frac{\sinh (C \cdot Z 0)}{L}

Next Step Substitute values of Variables

∴

γ = a \frac{\sinh (0.421S \cdot 48.989Ω)}{3m}

Next Step Prepare to Evaluate

∴

γ = a \frac{\sinh (0.421 \cdot 48.989)}{3}

Next Step Evaluate

∴

γ = 1.24006924400061

LAST Step Rounding Answer

∴

γ = 1.2401

Propagation Constant using C 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.

Formulas to find Propagation Constant

C Parameter

C parameter is a generalized line constant. also known as an open circuit conductance in a transmission line.

Symbol: C

Measurement: Electric ConductanceUnit: S

Note: Value should be greater than 0.

Formulas to find C Parameter

Characteristic Impedance

Characteristic Impedanceis defined as the ratio of the amplitudes of voltage and current of a single wave propagating along the transmission line.

Symbol: Z₀

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Characteristic Impedance

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.

Formulas to find Length

sinh

The hyperbolic sine function, also known as the sinh function, is a mathematical function that is defined as the hyperbolic analogue of the sine function.

Syntax: sinh(Number)

asinh

The inverse hyperbolic sine, also known as the area hyperbolic sine, is a mathematical function that is the inverse of the hyperbolic sine function.

Syntax: asinh(Number)

Other Formulas to find Propagation Constant

Go Propagation Constant using A Parameter (LTL)

γ = a \frac{\cosh (A)}{L}

Go Propagation Constant using B Parameter (LTL)

γ = a \frac{\sinh (\frac{B}{Z 0})}{L}

Go Propagation Constant (LTL)

γ = \sqrt{Y \cdot Z}

Go Propagation Constant using D Parameter (LTL)

γ = a \frac{\cosh (D)}{L}

Other formulas in Line Parameters category

Go Length using C Parameter (LTL)

L = a \frac{\sinh (C \cdot Z 0)}{γ}

Go Length using D Parameter (LTL)

L = a \frac{\cosh (D)}{γ}

Go Length using A Parameter (LTL)

L = a \frac{\cosh (A)}{γ}

Go Length using B Parameter (LTL)

L = a \frac{\sinh (\frac{B}{Z 0})}{γ}

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

Propagation Constant using C Parameter (LTL) evaluator uses Propagation Constant = asinh(C Parameter*Characteristic Impedance)/Length to evaluate the Propagation Constant, The Propagation Constant using C 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 C Parameter (LTL) using this online evaluator? To use this online evaluator for Propagation Constant using C Parameter (LTL), enter C Parameter (C), Characteristic Impedance (Z₀) & Length (L) and hit the calculate button.

FAQs on Propagation Constant using C Parameter (LTL)

What is the formula to find Propagation Constant using C Parameter (LTL)?

The formula of Propagation Constant using C Parameter (LTL) is expressed as Propagation Constant = asinh(C Parameter*Characteristic Impedance)/Length. Here is an example- 1.066704 = asinh(0.421*48.989)/3.

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

With C Parameter (C), Characteristic Impedance (Z₀) & Length (L) we can find Propagation Constant using C Parameter (LTL) using the formula - Propagation Constant = asinh(C Parameter*Characteristic Impedance)/Length. This formula also uses Hyperbolic Sine (sinh), Inverse Hyperbolic Sine (asinh) function(s).

What are the other ways to Calculate Propagation Constant?

Here are the different ways to Calculate Propagation Constant-

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

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Propagation Constant using C Parameter (LTL) Formula

​GoPropagation Constant using A Parameter (LTL) Formula

​GoPropagation Constant using B Parameter (LTL) Formula

Propagation Constant using C Parameter (LTL) Example

Propagation Constant using C Parameter (LTL) Solution

Propagation Constant using C Parameter (LTL) Formula Elements

Other Formulas to find Propagation Constant

Other formulas in Line Parameters category

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

FAQs on Propagation Constant using C Parameter (LTL)

Variable Name

GoPropagation Constant using A Parameter (LTL) Formula

GoPropagation Constant using B Parameter (LTL) Formula