Length using A Parameter (LTL) Calculator

✖A parameter is a generalized line constant in a two port transmission line.ⓘ A Parameter [A]			+10% -10%
✖Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.ⓘ Propagation Constant [γ]			+10% -10%

✖Length is defined as the end to end distance of the conductor used in a long transmission line.ⓘ Length using A Parameter (LTL) [L]

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Length using A Parameter (LTL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length = acosh(A Parameter)/Propagation Constant
L = acosh(A)/γ
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

Length - (Measured in Meter) - Length is defined as the end to end distance of the conductor used in a long transmission line.
A Parameter - A parameter is a generalized line constant in a two port transmission line.
Propagation Constant - Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.

STEP 1: Convert Input(s) to Base Unit

A Parameter: 20.7 --> No Conversion Required
Propagation Constant: 1.24 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = acosh(A)/γ --> acosh(20.7)/1.24

Evaluating ... ...

L = 3.00217493981437

STEP 3: Convert Result to Output's Unit

3.00217493981437 Meter --> No Conversion Required

FINAL ANSWER

3.00217493981437 ≈ 3.002175 Meter <-- Length

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Osmania University (OU), Hyderabad

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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

Length using A Parameter (LTL) Formula

LaTeX Go

Length = acosh(A Parameter)/Propagation Constant
L = acosh(A)/γ

What is ABCD parameter?

The A, B, C, and D are the constants also known as the transmission parameters or chain parameters. These parameters are used for the analysis of an electrical network. It is also used for determining the performance of input, output voltage, and current of the transmission network.

How to Calculate Length using A Parameter (LTL)?

Length using A Parameter (LTL) calculator uses Length = acosh(A Parameter)/Propagation Constant to calculate 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 calculate Length using A Parameter (LTL) using this online calculator? To use this online calculator for Length using A Parameter (LTL), enter A Parameter (A) & Propagation Constant (γ) and hit the calculate button. Here is how the Length using A Parameter (LTL) calculation can be explained with given input values -> 2.998265 = acosh(20.7)/1.24.

FAQ

What is Length using A Parameter (LTL)?

The Length using A Parameter (LTL) formula is defined as the total distance between two line conductors and is represented as L = acosh(A)/γ or Length = acosh(A Parameter)/Propagation Constant. A parameter is a generalized line constant in a two port transmission line & Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.

How to calculate Length using A Parameter (LTL)?

The Length using A Parameter (LTL) formula is defined as the total distance between two line conductors is calculated using Length = acosh(A Parameter)/Propagation Constant. To calculate Length using A Parameter (LTL), you need A Parameter (A) & Propagation Constant (γ). With our tool, you need to enter the respective value for A Parameter & Propagation Constant 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 Length?

In this formula, Length uses A Parameter & Propagation Constant. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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