Characteristic Impedance using Reflected Current 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 Current is defined as the current wave that is traveling from the receiving end to the sending end of the Transmission line during transient condition.ⓘ Reflected Current [I_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 Current [Z₀]

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Formula

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Characteristic Impedance using Reflected Current

Formula

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

Example

`"2.36766Ω"="8.56Ω"*("6V"-"3.4A")/("6V"+"3.4A")`

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Characteristic Impedance using Reflected Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Impedance = Load Impedance*(Incident Voltage-Reflected Current)/(Incident Voltage+Reflected Current)
Z₀ = I_l*(V_i-I_r)/(V_i+I_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 Current - (Measured in Ampere) - Reflected Current is defined as the current wave that is traveling from the receiving end to the sending end of 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 Current: 3.4 Ampere --> 3.4 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z₀ = I_l*(V_i-I_r)/(V_i+I_r) --> 8.56*(6-3.4)/(6+3.4)

Evaluating ... ...

Z₀ = 2.36765957446809

STEP 3: Convert Result to Output's Unit

2.36765957446809 Ohm --> No Conversion Required

FINAL ANSWER

2.36765957446809 ≈ 2.36766 Ohm <-- Characteristic Impedance

(Calculation completed in 00.020 seconds)

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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 Current Formula

Characteristic Impedance = Load Impedance*(Incident Voltage-Reflected Current)/(Incident Voltage+Reflected Current)
Z₀ = I_l*(V_i-I_r)/(V_i+I_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 Current?

Characteristic Impedance using Reflected Current calculator uses Characteristic Impedance = Load Impedance*(Incident Voltage-Reflected Current)/(Incident Voltage+Reflected Current) to calculate the Characteristic Impedance, The Characteristic Impedance using Reflected Current 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 Current using this online calculator? To use this online calculator for Characteristic Impedance using Reflected Current, enter Load Impedance (I_l), Incident Voltage (V_i) & Reflected Current (I_r) and hit the calculate button. Here is how the Characteristic Impedance using Reflected Current calculation can be explained with given input values -> 2.36766 = 8.56*(6-3.4)/(6+3.4).

FAQ

What is Characteristic Impedance using Reflected Current?

The Characteristic Impedance using Reflected Current 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-I_r)/(V_i+I_r) or Characteristic Impedance = Load Impedance*(Incident Voltage-Reflected Current)/(Incident Voltage+Reflected Current). 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 Current is defined as the current wave that is traveling from the receiving end to the sending end of the Transmission line during transient condition.

How to calculate Characteristic Impedance using Reflected Current?

The Characteristic Impedance using Reflected Current 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 Current)/(Incident Voltage+Reflected Current). To calculate Characteristic Impedance using Reflected Current, you need Load Impedance (I_l), Incident Voltage (V_i) & Reflected Current (I_r). With our tool, you need to enter the respective value for Load Impedance, Incident Voltage & Reflected Current 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 Current. 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 Voltage)/(Incident Voltage+Reflected Voltage)

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