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Length using A Parameter (LTL) Formula

GoLength using C Parameter (LTL) Formula

GoLength using D Parameter (LTL) Formula

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Length is defined as the end to end distance of the conductor used in a long transmission line. Check FAQs

L = a \frac{\cosh (A)}{γ}

L - Length?A - A Parameter?γ - Propagation Constant?

Length using A Parameter (LTL) Example

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

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

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

3.0022 = a \frac{\cosh (20.7)}{1.24}

3.0022m = a \frac{\cosh (20.7)}{1.24}

3.0022 = a \frac{\cosh (20.7)}{1.24}

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Length using A Parameter (LTL) Solution

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

FIRST Step Consider the formula

L = a \frac{\cosh (A)}{γ}

Next Step Substitute values of Variables

∴

L = a \frac{\cosh (20.7)}{1.24}

Next Step Prepare to Evaluate

∴

L = a \frac{\cosh (20.7)}{1.24}

Next Step Evaluate

∴

L = 3.00217493981437m

LAST Step Rounding Answer

∴

L = 3.0022m

Length using A Parameter (LTL) Formula Elements

Variables

Functions

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

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.

Formulas to find A Parameter

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

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 Length

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 B Parameter (LTL)

L = a \frac{\sinh (\frac{B}{Z 0})}{γ}

Other formulas in Line Parameters category

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 C Parameter (LTL)

γ = a \frac{\sinh (C \cdot Z 0)}{L}

How to Evaluate Length using A Parameter (LTL)?

Length using A Parameter (LTL) evaluator uses Length = acosh(A Parameter)/Propagation Constant to evaluate the Length, The Length using A Parameter (LTL) formula is defined as the total distance between two line conductors. Length is denoted by L symbol.

How to evaluate Length using A Parameter (LTL) using this online evaluator? To use this online evaluator for Length using A Parameter (LTL), enter A Parameter (A) & Propagation Constant (γ) and hit the calculate button.

FAQs on Length using A Parameter (LTL)

What is the formula to find Length using A Parameter (LTL)?

The formula of Length using A Parameter (LTL) is expressed as Length = acosh(A Parameter)/Propagation Constant. Here is an example- 2.998265 = acosh(20.7)/1.24.

How to calculate Length using A Parameter (LTL)?

With A Parameter (A) & Propagation Constant (γ) we can find Length using A Parameter (LTL) using the formula - Length = acosh(A Parameter)/Propagation Constant. This formula also uses Hyperbolic Cosine (cosh), Inverse Hyperbolic Cosine (acosh) function(s).

What are the other ways to Calculate Length?

Here are the different ways to Calculate Length-

Length=asinh(C Parameter*Characteristic Impedance)/Propagation Constant
Length=acosh(D Parameter)/Propagation Constant
Length=asinh(B Parameter/Characteristic Impedance)/Propagation Constant

Can the Length using A Parameter (LTL) be negative?

No, the Length using A Parameter (LTL), measured in Length cannot be negative.

Which unit is used to measure Length using A Parameter (LTL)?

Length using A Parameter (LTL) is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length using A Parameter (LTL) can be measured.

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Length using A Parameter (LTL) Formula

​GoLength using C Parameter (LTL) Formula

​GoLength using D Parameter (LTL) Formula

Length using A Parameter (LTL) Example

Length using A Parameter (LTL) Solution

Length using A Parameter (LTL) Formula Elements

Other Formulas to find Length

Other formulas in Line Parameters category

How to Evaluate Length using A Parameter (LTL)?

FAQs on Length using A Parameter (LTL)

Variable Name

GoLength using C Parameter (LTL) Formula

GoLength using D Parameter (LTL) Formula