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]

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Formula

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Characteristic Impedance using Transmitted Voltage

Formula

`"Z"_{"0"} = "I"_{"l"}*(2*"V"_{"i"}-"V"_{"t"})/"V"_{"t"}`

Example

`"-3.424Ω"="8.56Ω"*(2*"6V"-"20V")/"20V"`

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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 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 25 Transient Calculators

Reflected Coefficient of Voltage (Line PL)

Go Reflection Coefficient of Voltage = ((2/Impedance of Primary Winding)/((1/Impedance of Primary Winding)+(1/Impedance of Secondary Winding)+(1/Impedance of Tertiary Winding)))-1

Incident Voltage using Reflected Voltage

Go Incident Voltage = Reflected Voltage*(Load Impedance+Characteristic Impedance)/(Load Impedance-Characteristic Impedance)

Reflected Voltage using Load Impedance

Go Reflected Voltage = Incident Voltage*(Load Impedance-Characteristic Impedance)/(Load Impedance+Characteristic Impedance)

Load Impedance using Reflected Current

Go Load Impedance = Characteristic Impedance*(Incident Voltage+Reflected Voltage)/(Reflected Voltage-Incident Voltage)

Incident Voltage using Transmitted Coefficient of Current-2 (Line PL)

Go Incident Voltage = Transmitted Voltage*Impedance of Primary Winding/(Transmission Coefficient of Current*Impedance of Secondary Winding)

Characteristic Impedance using Transmitted Current

Go Characteristic Impedance = Load Impedance*(2*Incident Current-Transmitted Current)/Transmitted Current

Load Impedance using Reflected Coefficient of Current

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

Load Impedance using Reflected Coefficient of Voltage

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

Transmission Coefficient for Current

Go Transmission Coefficient of Current = Transmitted Current/Incident Current

Transmission Coefficient for Voltage

Go Transmission Coefficient of Voltage = Transmitted Voltage/Incident Voltage

Impedance-3 using Transmitted Current-3 (Line PL)

Go Impedance of Tertiary Winding = Transmitted Voltage/Transmitted Current

Reflected Voltage using Reflection Coefficient of Voltage

Go Reflected Voltage = Reflection Coefficient of Voltage*Incident Voltage

Reflection Coefficient for Voltage

Go Reflection Coefficient of Voltage = Reflected Voltage/Incident Voltage

Reflection Coefficient for Current

Go Reflection Coefficient of Current = Reflected Current/Incident Current

Reflected Current for Refracted Wave

Go Reflected Current = (-1)*Reflected Voltage/Characteristic Impedance

Reflected Voltage for Refracted Wave

Go Reflected Voltage = (-1)*Reflected Current*Characteristic Impedance

Characteristic Impedance (Line SC)

Go Characteristic Impedance = Incident Voltage/Incident Current

Incident Current for Incident Wave

Go Incident Current = Incident Voltage/Characteristic Impedance

Incident Voltage of Incident Wave

Go Incident Voltage = Incident Current*Characteristic Impedance

Incident Current using Reflected and Transmitted Current

Go Incident Current = Transmitted Current-Reflected Current

Incident Voltage using Reflected and Transmitted Voltage

Go Incident Voltage = Transmitted Voltage-Reflected Voltage

Reflected Voltage using Incident and Transmitted Voltage

Go Reflected Voltage = Transmitted Voltage-Incident Voltage

Transmitted Current Transmitted Wave

Go Transmitted Current = Transmitted Voltage/Load Impedance

Reflected Voltage (Line OC)

Go Reflected Voltage = (-1)*Incident Voltage

Incident Voltage using Transmitted Voltage (Load OC)

Go Incident Voltage = Transmitted Voltage/2

Characteristic Impedance using Transmitted Voltage Formula

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 5 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)
Characteristic Impedance = Load Impedance*(1-Reflection Coefficient of Voltage)/(Reflection Coefficient of Voltage+1)
Characteristic Impedance = Load Impedance*(2-Transmission Coefficient of Voltage)/Transmission Coefficient of Voltage

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