Characteristic Impedance using Transmitted Coefficients Calculator

✖The transmission Coefficient Of Current is defined as the ratio of the transmitted current to the incident current of the Transmission line during transient.ⓘ Transmission Coefficient of Current [τ_i]			+10% -10%
✖The load impedance is defined as the impedance of the load of the Transmission line during transient.ⓘ Load Impedance [I_l]			+10% -10%
✖Transmission Coefficient of Voltage is defined as the ratio of the transmitted voltage to the incident voltage of the Transmission line during transient.ⓘ Transmission Coefficient of Voltage [τ_v]			+10% -10%

✖The characteristic impedance of a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line during transient condition.ⓘ Characteristic Impedance using Transmitted Coefficients [Z₀]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Transmission Lines Formula PDF PDF Image

Characteristic Impedance using Transmitted Coefficients Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Impedance = Transmission Coefficient of Current*Load Impedance/Transmission Coefficient of Voltage
Z₀ = τ_i*I_l/τ_v
This formula uses 4 Variables

Variables Used

Characteristic Impedance - (Measured in Ohm) - The characteristic impedance of a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line during transient condition.
Transmission Coefficient of Current - The transmission Coefficient Of Current is defined as the ratio of the transmitted current to the incident current of the Transmission line during transient.
Load Impedance - (Measured in Ohm) - The load impedance is defined as the impedance of the load of the Transmission line during transient.
Transmission Coefficient of Voltage - Transmission Coefficient of Voltage is defined as the ratio of the transmitted voltage to the incident voltage of the Transmission line during transient.

STEP 1: Convert Input(s) to Base Unit

Transmission Coefficient of Current: 7 --> No Conversion Required
Load Impedance: 8.56 Ohm --> 8.56 Ohm No Conversion Required
Transmission Coefficient of Voltage: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z₀ = τ_i*I_l/τ_v --> 7*8.56/4

Evaluating ... ...

Z₀ = 14.98

STEP 3: Convert Result to Output's Unit

14.98 Ohm --> No Conversion Required

FINAL ANSWER

14.98 Ohm <-- Characteristic Impedance

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Transmission Lines » Transient » Travelling Waves » Relation Between Coefficients » Characteristic Impedance using Transmitted Coefficients

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!

< Relation Between Coefficients Calculators

Transmitted Coefficient of Voltage using Reflected Coefficient of Voltage

LaTeX Go Transmission Coefficient of Voltage = 1+Reflection Coefficient of Voltage

Reflected Coefficient of Voltage using Transmitted Coefficient of Voltage

LaTeX Go Reflection Coefficient of Voltage = Transmission Coefficient of Voltage-1

Reflected Coefficient of Current using Transmitted Coefficient of Current

LaTeX Go Reflection Coefficient of Current = Transmission Coefficient of Current-1

Transmitted Coefficient of Current using Reflected Coefficient of Current

LaTeX Go Transmission Coefficient of Current = 1+Reflection Coefficient of Current

Characteristic Impedance using Transmitted Coefficients Formula

LaTeX Go

Characteristic Impedance = Transmission Coefficient of Current*Load Impedance/Transmission Coefficient of Voltage
Z₀ = τ_i*I_l/τ_v

Define Transmitted Coefficients.

Transmitted Coefficient Of Voltage defined as the ratio of the transmitted voltage to the incident voltage of the Transmission line.
Transmitted Coefficient Of Current defined as the ratio of the transmitted Current to the incident Current of the Transmission line.

How to Calculate Characteristic Impedance using Transmitted Coefficients?

Characteristic Impedance using Transmitted Coefficients calculator uses Characteristic Impedance = Transmission Coefficient of Current*Load Impedance/Transmission Coefficient of Voltage to calculate the Characteristic Impedance, The Characteristic Impedance using Transmitted Coefficients formula is defined as a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line. Characteristic Impedance is denoted by Z₀ symbol.

How to calculate Characteristic Impedance using Transmitted Coefficients using this online calculator? To use this online calculator for Characteristic Impedance using Transmitted Coefficients, enter Transmission Coefficient of Current (τ_i), Load Impedance (I_l) & Transmission Coefficient of Voltage (τ_v) and hit the calculate button. Here is how the Characteristic Impedance using Transmitted Coefficients calculation can be explained with given input values -> 14.98 = 7*8.56/4.

FAQ

What is Characteristic Impedance using Transmitted Coefficients?

The Characteristic Impedance using Transmitted Coefficients formula is defined as a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line and is represented as Z₀ = τ_i*I_l/τ_v or Characteristic Impedance = Transmission Coefficient of Current*Load Impedance/Transmission Coefficient of Voltage. The transmission Coefficient Of Current is defined as the ratio of the transmitted current to the incident current of the Transmission line during transient, The load impedance is defined as the impedance of the load of the Transmission line during transient & Transmission Coefficient of Voltage is defined as the ratio of the transmitted voltage to the incident voltage of the Transmission line during transient.

How to calculate Characteristic Impedance using Transmitted Coefficients?

The Characteristic Impedance using Transmitted Coefficients formula is defined as a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line is calculated using Characteristic Impedance = Transmission Coefficient of Current*Load Impedance/Transmission Coefficient of Voltage. To calculate Characteristic Impedance using Transmitted Coefficients, you need Transmission Coefficient of Current (τ_i), Load Impedance (I_l) & Transmission Coefficient of Voltage (τ_v). With our tool, you need to enter the respective value for Transmission Coefficient of Current, Load Impedance & Transmission Coefficient of Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search