Characteristic Impedance using Reflected Coefficient of 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%
✖Reflection Coefficient Of Current is defined as the ratio of the reflected current to the incident current of the Transmission line.ⓘ Reflection Coefficient of Current [ρ_i]			+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 Coefficient of Current [Z₀]

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Formula

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Characteristic Impedance using Reflected Coefficient of Current

Formula

Z 0 = I l \cdot \frac{ρ i - 1}{1 - ρ i}

Example

-8.56 Ω = 8.56 Ω \cdot \frac{8 - 1}{1 - 8}

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Characteristic Impedance using Reflected Coefficient of Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Impedance = Load Impedance*(Reflection Coefficient of Current-1)/(1-Reflection Coefficient of Current)
Z₀ = I_l*(ρ_i-1)/(1-ρ_i)
This formula uses 3 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.
Reflection Coefficient of Current - Reflection Coefficient Of Current is defined as the ratio of the reflected current to the incident current of the Transmission line.

STEP 1: Convert Input(s) to Base Unit

Load Impedance: 8.56 Ohm --> 8.56 Ohm No Conversion Required
Reflection Coefficient of Current: 8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z₀ = I_l*(ρ_i-1)/(1-ρ_i) --> 8.56*(8-1)/(1-8)

Evaluating ... ...

Z₀ = -8.56

STEP 3: Convert Result to Output's Unit

-8.56 Ohm --> No Conversion Required

FINAL ANSWER

-8.56 Ohm <-- Characteristic Impedance

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

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< Transient Calculators

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)

Characteristic Impedance (Line SC)

Go Characteristic Impedance = Incident Voltage/Incident Current

Incident Voltage using Transmitted Voltage (Load OC)

Go Incident Voltage = Transmitted Voltage/2

Characteristic Impedance using Reflected Coefficient of Current Formula

Characteristic Impedance = Load Impedance*(Reflection Coefficient of Current-1)/(1-Reflection Coefficient of Current)
Z₀ = I_l*(ρ_i-1)/(1-ρ_i)

Define Reflected Coefficient Of Current.

Reflected Coefficient Of Current defined as the ratio of the reflected Current to the incident Current of the Transmission line.

How to Calculate Characteristic Impedance using Reflected Coefficient of Current?

Characteristic Impedance using Reflected Coefficient of Current calculator uses Characteristic Impedance = Load Impedance*(Reflection Coefficient of Current-1)/(1-Reflection Coefficient of Current) to calculate the Characteristic Impedance, The Characteristic Impedance using Reflected Coefficient of 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 Coefficient of Current using this online calculator? To use this online calculator for Characteristic Impedance using Reflected Coefficient of Current, enter Load Impedance (I_l) & Reflection Coefficient of Current (ρ_i) and hit the calculate button. Here is how the Characteristic Impedance using Reflected Coefficient of Current calculation can be explained with given input values -> -8.56 = 8.56*(8-1)/(1-8).

FAQ

What is Characteristic Impedance using Reflected Coefficient of Current?

The Characteristic Impedance using Reflected Coefficient of 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*(ρ_i-1)/(1-ρ_i) or Characteristic Impedance = Load Impedance*(Reflection Coefficient of Current-1)/(1-Reflection Coefficient of Current). The load impedance is defined as the impedance of the load of the Transmission line during transient & Reflection Coefficient Of Current is defined as the ratio of the reflected current to the incident current of the Transmission line.

How to calculate Characteristic Impedance using Reflected Coefficient of Current?

The Characteristic Impedance using Reflected Coefficient of 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*(Reflection Coefficient of Current-1)/(1-Reflection Coefficient of Current). To calculate Characteristic Impedance using Reflected Coefficient of Current, you need Load Impedance (I_l) & Reflection Coefficient of Current (ρ_i). With our tool, you need to enter the respective value for Load Impedance & Reflection Coefficient of 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 & Reflection Coefficient of Current. 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*(1-Reflection Coefficient of Voltage)/(Reflection Coefficient of Voltage+1)

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