Propagation Constant using B Parameter (LTL) Calculator

✖B parameter is a generalized line constant. also known as short circuit resistance in a transmission line.ⓘ B Parameter [B]			+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%
✖Length is defined as the end to end distance of the conductor used in a long transmission line.ⓘ Length [L]			+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 using B Parameter (LTL) [γ]

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Propagation Constant using B Parameter (LTL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Propagation Constant = asinh(B Parameter/Characteristic Impedance)/Length
γ = asinh(B/Z₀)/L
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

Propagation Constant - Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.
B Parameter - (Measured in Ohm) - B parameter is a generalized line constant. also known as short circuit resistance 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.
Length - (Measured in Meter) - Length is defined as the end to end distance of the conductor used in a long transmission line.

STEP 1: Convert Input(s) to Base Unit

B Parameter: 1050 Ohm --> 1050 Ohm No Conversion Required
Characteristic Impedance: 48.989 Ohm --> 48.989 Ohm No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = asinh(B/Z₀)/L --> asinh(1050/48.989)/3

Evaluating ... ...

γ = 1.25288019897727

STEP 3: Convert Result to Output's Unit

1.25288019897727 --> No Conversion Required

FINAL ANSWER

1.25288019897727 ≈ 1.25288 <-- Propagation Constant

(Calculation completed in 00.004 seconds)

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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

Propagation Constant using B Parameter (LTL) Formula

LaTeX Go

Propagation Constant = asinh(B Parameter/Characteristic Impedance)/Length
γ = asinh(B/Z₀)/L

What are the 4 parameters of a line?

The transmission line has mainly four parameters, resistance, inductance, capacitance, and shunt conductance. These parameters are uniformly distributed along the line. Hence, it is also called the distributed parameter of the transmission line.

How to Calculate Propagation Constant using B Parameter (LTL)?

Propagation Constant using B Parameter (LTL) calculator uses Propagation Constant = asinh(B Parameter/Characteristic Impedance)/Length to calculate the Propagation Constant, The Propagation Constant using B 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 calculate Propagation Constant using B Parameter (LTL) using this online calculator? To use this online calculator for Propagation Constant using B Parameter (LTL), enter B Parameter (B), Characteristic Impedance (Z₀) & Length (L) and hit the calculate button. Here is how the Propagation Constant using B Parameter (LTL) calculation can be explained with given input values -> 1.25288 = asinh(1050/48.989)/3.

FAQ

What is Propagation Constant using B Parameter (LTL)?

The Propagation Constant using B 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 and is represented as γ = asinh(B/Z₀)/L or Propagation Constant = asinh(B Parameter/Characteristic Impedance)/Length. B parameter is a generalized line constant. also known as short circuit resistance 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 & Length is defined as the end to end distance of the conductor used in a long transmission line.

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

The Propagation Constant using B 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 is calculated using Propagation Constant = asinh(B Parameter/Characteristic Impedance)/Length. To calculate Propagation Constant using B Parameter (LTL), you need B Parameter (B), Characteristic Impedance (Z₀) & Length (L). With our tool, you need to enter the respective value for B Parameter, Characteristic Impedance & Length 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 Propagation Constant?

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

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

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