Characteristic Impedance using Reflected 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%
✖Reflected Voltage is the voltage that is reflected in the transmission line during transient condition.ⓘ Reflected Voltage [E_r]			+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 Reflected Voltage [Z₀]

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Formula

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Characteristic Impedance using Reflected Voltage

Formula

`"Z"_{"0"} = "I"_{"l"}*("V"_{"i"}-"E"_{"r"})/("V"_{"i"}+"E"_{"r"})`

Example

`"1.222857Ω"="8.56Ω"*("6V"-"4.5V")/("6V"+"4.5V")`

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Characteristic Impedance using Reflected Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Impedance = Load Impedance*(Incident Voltage-Reflected Voltage)/(Incident Voltage+Reflected Voltage)
Z₀ = I_l*(V_i-E_r)/(V_i+E_r)
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.
Reflected Voltage - (Measured in Volt) - Reflected Voltage is the voltage that is reflected in the transmission line during transient condition.

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
Reflected Voltage: 4.5 Volt --> 4.5 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z₀ = I_l*(V_i-E_r)/(V_i+E_r) --> 8.56*(6-4.5)/(6+4.5)

Evaluating ... ...

Z₀ = 1.22285714285714

STEP 3: Convert Result to Output's Unit

1.22285714285714 Ohm --> No Conversion Required

FINAL ANSWER

1.22285714285714 ≈ 1.222857 Ohm <-- Characteristic Impedance

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Transmission Lines » Transient » Travelling Waves » Reflected Waves » Characteristic Impedance using Reflected Voltage

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 7 Reflected Waves Calculators

Incident Voltage using Reflected Current

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

Reflected Current using Load Impedance

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

Characteristic Impedance using Reflected Voltage

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

Characteristic Impedance using Reflected Current

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

Load Impedance using Reflected Voltage

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

Characteristic Impedance for Reflected Waves

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

Reflected Current using Incident and Transmitted Current

Go Reflected Current = Transmitted Current-Incident Current

Characteristic Impedance using Reflected Voltage Formula

Characteristic Impedance = Load Impedance*(Incident Voltage-Reflected Voltage)/(Incident Voltage+Reflected Voltage)
Z₀ = I_l*(V_i-E_r)/(V_i+E_r)

Define reflected waves.

The reflected waves are the current wave or the voltage wave that is traveling from the receiving end to the sending end of the Transmission line.

How to Calculate Characteristic Impedance using Reflected Voltage?

Characteristic Impedance using Reflected Voltage calculator uses Characteristic Impedance = Load Impedance*(Incident Voltage-Reflected Voltage)/(Incident Voltage+Reflected Voltage) to calculate the Characteristic Impedance, The Characteristic Impedance using Reflected 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 Reflected Voltage using this online calculator? To use this online calculator for Characteristic Impedance using Reflected Voltage, enter Load Impedance (I_l), Incident Voltage (V_i) & Reflected Voltage (E_r) and hit the calculate button. Here is how the Characteristic Impedance using Reflected Voltage calculation can be explained with given input values -> 1.222857 = 8.56*(6-4.5)/(6+4.5).

FAQ

What is Characteristic Impedance using Reflected Voltage?

The Characteristic Impedance using Reflected 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*(V_i-E_r)/(V_i+E_r) or Characteristic Impedance = Load Impedance*(Incident Voltage-Reflected Voltage)/(Incident Voltage+Reflected 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 & Reflected Voltage is the voltage that is reflected in the transmission line during transient condition.

How to calculate Characteristic Impedance using Reflected Voltage?

The Characteristic Impedance using Reflected 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*(Incident Voltage-Reflected Voltage)/(Incident Voltage+Reflected Voltage). To calculate Characteristic Impedance using Reflected Voltage, you need Load Impedance (I_l), Incident Voltage (V_i) & Reflected Voltage (E_r). With our tool, you need to enter the respective value for Load Impedance, Incident Voltage & Reflected 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 & Reflected Voltage. We can use 2 other way(s) to calculate the same, which is/are as follows -

Characteristic Impedance = (-1)*Reflected Voltage/Reflected Current
Characteristic Impedance = Load Impedance*(Incident Voltage-Reflected Current)/(Incident Voltage+Reflected Current)

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