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Length using B 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{\sinh (\frac{B}{Z 0})}{γ}

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

Length using B Parameter (LTL) Example

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

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

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

3.0312 = a \frac{\sinh (\frac{1050}{48.989})}{1.24}

3.0312m = a \frac{\sinh (\frac{1050Ω}{48.989Ω})}{1.24}

3.0312 = a \frac{\sinh (\frac{1050}{48.989})}{1.24}

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Length using B Parameter (LTL) Solution

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

FIRST Step Consider the formula

L = a \frac{\sinh (\frac{B}{Z 0})}{γ}

Next Step Substitute values of Variables

∴

L = a \frac{\sinh (\frac{1050Ω}{48.989Ω})}{1.24}

Next Step Prepare to Evaluate

∴

L = a \frac{\sinh (\frac{1050}{48.989})}{1.24}

Next Step Evaluate

∴

L = 3.03116177171919m

LAST Step Rounding Answer

∴

L = 3.0312m

Length using B 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

B Parameter

B parameter is a generalized line constant. also known as short circuit resistance in a transmission line.

Symbol: B

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find B 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

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

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 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 A Parameter (LTL)

L = a \frac{\cosh (A)}{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 B Parameter (LTL)?

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

How to evaluate Length using B Parameter (LTL) using this online evaluator? To use this online evaluator for Length using B Parameter (LTL), enter B Parameter (B), Characteristic Impedance (Z₀) & Propagation Constant (γ) and hit the calculate button.

FAQs on Length using B Parameter (LTL)

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

The formula of Length using B Parameter (LTL) is expressed as Length = asinh(B Parameter/Characteristic Impedance)/Propagation Constant. Here is an example- 0.187615 = asinh(1050/48.989)/1.24.

How to calculate Length using B Parameter (LTL)?

With B Parameter (B), Characteristic Impedance (Z₀) & Propagation Constant (γ) we can find Length using B Parameter (LTL) using the formula - Length = asinh(B Parameter/Characteristic Impedance)/Propagation Constant. This formula also uses Hyperbolic Sine (sinh), Inverse Hyperbolic Sine (asinh) 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=acosh(A Parameter)/Propagation Constant

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

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

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

Length using B 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 B Parameter (LTL) can be measured.

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Length using B Parameter (LTL) Formula

​GoLength using C Parameter (LTL) Formula

​GoLength using D Parameter (LTL) Formula

Length using B Parameter (LTL) Example

Length using B Parameter (LTL) Solution

Length using B Parameter (LTL) Formula Elements

Other Formulas to find Length

Other formulas in Line Parameters category

How to Evaluate Length using B Parameter (LTL)?

FAQs on Length using B Parameter (LTL)

Variable Name

GoLength using C Parameter (LTL) Formula

GoLength using D Parameter (LTL) Formula