Characteristic Impedance using Transmitted Voltage Calculator

✖The load impedance is defined as the impedance of the load of the Transmission line during transient.ⓘ Load Impedance [I_l]			+10% -10%
✖The Incident Voltage on the transmission line is equal to half the generator voltage.ⓘ Incident Voltage [V_i]			+10% -10%
✖Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line.ⓘ Transmitted Voltage [V_t]			+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 Voltage [Z₀]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Transmission Lines Formula PDF PDF Image

Characteristic Impedance using Transmitted Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Impedance = Load Impedance*(2*Incident Voltage-Transmitted Voltage)/Transmitted Voltage
Z₀ = I_l*(2*V_i-V_t)/V_t
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.
Load Impedance - (Measured in Ohm) - The load impedance is defined as the impedance of the load of the Transmission line during transient.
Incident Voltage - (Measured in Volt) - The Incident Voltage on the transmission line is equal to half the generator voltage.
Transmitted Voltage - (Measured in Volt) - Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line.

STEP 1: Convert Input(s) to Base Unit

Load Impedance: 8.56 Ohm --> 8.56 Ohm No Conversion Required
Incident Voltage: 6 Volt --> 6 Volt No Conversion Required
Transmitted Voltage: 20 Volt --> 20 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z₀ = I_l*(2*V_i-V_t)/V_t --> 8.56*(2*6-20)/20

Evaluating ... ...

Z₀ = -3.424

STEP 3: Convert Result to Output's Unit

-3.424 Ohm --> No Conversion Required

FINAL ANSWER

-3.424 Ohm <-- Characteristic Impedance

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Electrical » Power System » Transmission Lines » Transient » Characteristic Impedance using Transmitted Voltage

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!

< Transient Calculators

Load Impedance using Reflected Coefficient of Current

LaTeX Go Load Impedance = Characteristic Impedance*(1-Reflection Coefficient of Current)/(Reflection Coefficient of Current-1)

Load Impedance using Reflected Coefficient of Voltage

LaTeX Go Load Impedance = Characteristic Impedance*(Reflection Coefficient of Voltage+1)/(1-Reflection Coefficient of Voltage)

Characteristic Impedance (Line SC)

LaTeX Go Characteristic Impedance = Incident Voltage/Incident Current

Incident Voltage using Transmitted Voltage (Load OC)

LaTeX Go Incident Voltage = Transmitted Voltage/2

Characteristic Impedance using Transmitted Voltage Formula

LaTeX Go

Characteristic Impedance = Load Impedance*(2*Incident Voltage-Transmitted Voltage)/Transmitted Voltage
Z₀ = I_l*(2*V_i-V_t)/V_t

Define transmitted waves.

The transmitted waves are the Voltage wave or current wave that is traveling through the Load of the Transmission line.

How to Calculate Characteristic Impedance using Transmitted Voltage?

Characteristic Impedance using Transmitted Voltage calculator uses Characteristic Impedance = Load Impedance*(2*Incident Voltage-Transmitted Voltage)/Transmitted Voltage to calculate the Characteristic Impedance, The Characteristic Impedance using Transmitted Voltage 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 Voltage using this online calculator? To use this online calculator for Characteristic Impedance using Transmitted Voltage, enter Load Impedance (I_l), Incident Voltage (V_i) & Transmitted Voltage (V_t) and hit the calculate button. Here is how the Characteristic Impedance using Transmitted Voltage calculation can be explained with given input values -> -3.424 = 8.56*(2*6-20)/20.

FAQ

What is Characteristic Impedance using Transmitted Voltage?

The Characteristic Impedance using Transmitted Voltage 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 = I_l*(2*V_i-V_t)/V_t or Characteristic Impedance = Load Impedance*(2*Incident Voltage-Transmitted Voltage)/Transmitted Voltage. The load impedance is defined as the impedance of the load of the Transmission line during transient, The Incident Voltage on the transmission line is equal to half the generator voltage & Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line.

How to calculate Characteristic Impedance using Transmitted Voltage?

The Characteristic Impedance using Transmitted Voltage 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 = Load Impedance*(2*Incident Voltage-Transmitted Voltage)/Transmitted Voltage. To calculate Characteristic Impedance using Transmitted Voltage, you need Load Impedance (I_l), Incident Voltage (V_i) & Transmitted Voltage (V_t). With our tool, you need to enter the respective value for Load Impedance, Incident Voltage & Transmitted Voltage 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 Characteristic Impedance?

In this formula, Characteristic Impedance uses Load Impedance, Incident Voltage & Transmitted Voltage. We can use 3 other way(s) to calculate the same, which is/are as follows -

Characteristic Impedance = Incident Voltage/Incident Current
Characteristic Impedance = Load Impedance*(2*Incident Current-Transmitted Current)/Transmitted Current
Characteristic Impedance = Load Impedance*(Reflection Coefficient of Current-1)/(1-Reflection Coefficient of Current)

Home

FREE PDFs

🔍 Search