Length using C Parameter (LTL) Calculator

✖C parameter is a generalized line constant. also known as an open circuit conductance in a transmission line.ⓘ C Parameter [C]			+10% -10%
✖Characteristic Impedanceis defined as the ratio of the amplitudes of voltage and current of a single wave propagating along the transmission line.ⓘ Characteristic Impedance [Z₀]			+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 C Parameter (LTL) [L]

⎘ Copy

👎

Formula

✖

Length using C Parameter (LTL)

Formula

`"L" = asinh("C"*"Z"_{"0"})/"γ"`

Example

`"3.000168m"=asinh("0.421S"*"48.989Ω")/"1.24"`

Calculator

LaTeX

Reset

👍

Download Long Transmission Line Formulas PDF

Length using C Parameter (LTL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length = asinh(C Parameter*Characteristic Impedance)/Propagation Constant
L = asinh(C*Z₀)/γ
This formula uses 2 Functions, 4 Variables

Functions Used

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., 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., asinh(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.
C Parameter - (Measured in Siemens) - C parameter is a generalized line constant. also known as an open circuit conductance in a transmission line.
Characteristic Impedance - (Measured in Ohm) - Characteristic Impedanceis defined as the ratio of the amplitudes of voltage and current of a single wave propagating along the 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

C Parameter: 0.421 Siemens --> 0.421 Siemens No Conversion Required
Characteristic Impedance: 48.989 Ohm --> 48.989 Ohm No Conversion Required
Propagation Constant: 1.24 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = asinh(C*Z₀)/γ --> asinh(0.421*48.989)/1.24

Evaluating ... ...

L = 3.00016752580793

STEP 3: Convert Result to Output's Unit

3.00016752580793 Meter --> No Conversion Required

FINAL ANSWER

3.00016752580793 ≈ 3.000168 Meter <-- Length

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Transmission Lines » Long Transmission Line » Line Parameters » Length using C Parameter (LTL)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has verified this Calculator and 100+ more calculators!

< 9 Line Parameters Calculators

Propagation Constant using B Parameter (LTL)

Go Propagation Constant = asinh(B Parameter/Characteristic Impedance)/Length

Propagation Constant using C Parameter (LTL)

Go Propagation Constant = asinh(C Parameter*Characteristic Impedance)/Length

Length using C Parameter (LTL)

Go Length = asinh(C Parameter*Characteristic Impedance)/Propagation Constant

Length using B Parameter (LTL)

Go Length = asinh(B Parameter/Characteristic Impedance)/Propagation Constant

Propagation Constant (LTL)

Go Propagation Constant = sqrt(Admittance*Impedance)

Propagation Constant using A Parameter (LTL)

Go Propagation Constant = acosh(A Parameter)/Length

Propagation Constant using D Parameter (LTL)

Go Propagation Constant = acosh(D Parameter)/Length

Length using D Parameter (LTL)

Go Length = acosh(D Parameter)/Propagation Constant

Length using A Parameter (LTL)

Go Length = acosh(A Parameter)/Propagation Constant

Length using C Parameter (LTL) Formula

Length = asinh(C Parameter*Characteristic Impedance)/Propagation Constant
L = asinh(C*Z₀)/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 C Parameter (LTL)?

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

How to calculate Length using C Parameter (LTL) using this online calculator? To use this online calculator for Length using C Parameter (LTL), enter C Parameter (C), Characteristic Impedance (Z₀) & Propagation Constant (γ) and hit the calculate button. Here is how the Length using C Parameter (LTL) calculation can be explained with given input values -> 2.580735 = asinh(0.421*48.989)/1.24.

FAQ

What is Length using C Parameter (LTL)?

The Length using C Parameter (LTL) formula is defined as the total distance between two line conductors and is represented as L = asinh(C*Z₀)/γ or Length = asinh(C Parameter*Characteristic Impedance)/Propagation Constant. C parameter is a generalized line constant. also known as an open circuit conductance in a transmission line, Characteristic Impedanceis defined as the ratio of the amplitudes of voltage and current of a single wave propagating along the 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 C Parameter (LTL)?

The Length using C Parameter (LTL) formula is defined as the total distance between two line conductors is calculated using Length = asinh(C Parameter*Characteristic Impedance)/Propagation Constant. To calculate Length using C Parameter (LTL), you need C Parameter (C), Characteristic Impedance (Z₀) & Propagation Constant (γ). With our tool, you need to enter the respective value for C Parameter, Characteristic Impedance & 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 C Parameter, Characteristic Impedance & Propagation Constant. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search