Impedance using Propagation Constant (LTL) Calculator

✖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%
✖Admittance is the mathematical inverse of the impedance in a long transmission line.ⓘ Admittance [Y]			+10% -10%

✖Impedance is defined as the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system.ⓘ Impedance using Propagation Constant (LTL) [Z]

⎘ Copy

👎

Formula

✖

Impedance using Propagation Constant (LTL)

Formula

`"Z" = "γ"^2/"Y"`

Example

`"61.504Ω"=("1.24")^2/"0.025S"`

Calculator

LaTeX

Reset

👍

Download Long Transmission Line Formulas PDF PDF Image

Impedance using Propagation Constant (LTL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Impedance = Propagation Constant^2/Admittance
Z = γ^2/Y
This formula uses 3 Variables

Variables Used

Impedance - (Measured in Ohm) - Impedance is defined as the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system.
Propagation Constant - Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.
Admittance - (Measured in Siemens) - Admittance is the mathematical inverse of the impedance in a long transmission line.

STEP 1: Convert Input(s) to Base Unit

Propagation Constant: 1.24 --> No Conversion Required
Admittance: 0.025 Siemens --> 0.025 Siemens No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z = γ^2/Y --> 1.24^2/0.025

Evaluating ... ...

Z = 61.504

STEP 3: Convert Result to Output's Unit

61.504 Ohm --> No Conversion Required

FINAL ANSWER

61.504 Ohm <-- Impedance

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Transmission Lines » Long Transmission Line » Impedance & Admittance » Impedance using Propagation Constant (LTL)

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< 12 Impedance & Admittance Calculators

Characteristic Impedance using Sending End Current (LTL)

Go Characteristic Impedance = (Receiving End Voltage*sinh(Propagation Constant*Length))/(Sending End Current-Receiving End Current*cosh(Propagation Constant*Length))

Characteristic Impedance using Sending End Voltage (LTL)

Go Characteristic Impedance = (Sending End Voltage-Receiving End Voltage*cosh(Propagation Constant*Length))/(sinh(Propagation Constant*Length)*Receiving End Current)

Characteristic Impedance using B Parameter (LTL)

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

Characteristic Impedance using C Parameter (LTL)

Go Characteristic Impedance = 1/C Parameter*sinh(Propagation Constant*Length)

Characteristic Impedance (LTL)

Go Characteristic Impedance = sqrt(Impedance/Admittance)

Surge Impedance (LTL)

Go Surge Impedance = sqrt(Inductance/Capacitance)

Admittance using Characteristic Impedance (LTL)

Go Admittance = Impedance/(Characteristic Impedance^2)

Impedance using Characteristic Impedance (LTL)

Go Impedance = Characteristic Impedance^2*Admittance

Admittance using Propagation Constant (LTL)

Go Admittance = (Propagation Constant^2)/Impedance

Impedance using Propagation Constant (LTL)

Go Impedance = Propagation Constant^2/Admittance

Capacitance using Surge Impedance (LTL)

Go Capacitance = Inductance/(Surge Impedance^2)

Inductance using Surge Impedance (LTL)

Go Inductance = Capacitance*Surge Impedance^2

Impedance using Propagation Constant (LTL) Formula

Impedance = Propagation Constant^2/Admittance
Z = γ^2/Y

What happens when a long transmission line is open circuited at the receiving end?

A long transmission line draws a substantial quantity of charging current. If such a line is open-circuited or very lightly loaded at the receiving end the voltage at receiving end may become greater than the voltage at sending end.

How to Calculate Impedance using Propagation Constant (LTL)?

Impedance using Propagation Constant (LTL) calculator uses Impedance = Propagation Constant^2/Admittance to calculate the Impedance, The Impedance using Propagation Constant (LTL) formula is defined as the apparent opposition in an electrical circuit to the flow of an alternating current that is analogous to the actual electrical resistance to a direct current and that is the ratio of effective electromotive force to the effective current. Impedance is denoted by Z symbol.

How to calculate Impedance using Propagation Constant (LTL) using this online calculator? To use this online calculator for Impedance using Propagation Constant (LTL), enter Propagation Constant (γ) & Admittance (Y) and hit the calculate button. Here is how the Impedance using Propagation Constant (LTL) calculation can be explained with given input values -> 61.504 = 1.24^2/0.025.

FAQ

What is Impedance using Propagation Constant (LTL)?

The Impedance using Propagation Constant (LTL) formula is defined as the apparent opposition in an electrical circuit to the flow of an alternating current that is analogous to the actual electrical resistance to a direct current and that is the ratio of effective electromotive force to the effective current and is represented as Z = γ^2/Y or Impedance = Propagation Constant^2/Admittance. Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line & Admittance is the mathematical inverse of the impedance in a long transmission line.

How to calculate Impedance using Propagation Constant (LTL)?

The Impedance using Propagation Constant (LTL) formula is defined as the apparent opposition in an electrical circuit to the flow of an alternating current that is analogous to the actual electrical resistance to a direct current and that is the ratio of effective electromotive force to the effective current is calculated using Impedance = Propagation Constant^2/Admittance. To calculate Impedance using Propagation Constant (LTL), you need Propagation Constant (γ) & Admittance (Y). With our tool, you need to enter the respective value for Propagation Constant & Admittance 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 Impedance?

In this formula, Impedance uses Propagation Constant & Admittance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Impedance = Characteristic Impedance^2*Admittance

Home

FREE PDFs

🔍 Search