Characteristic Impedance using Transmitted 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%
✖Incident Current is the Current wave that is traveling from the sending end to the receiving end of the Transmission line during any transient condition.ⓘ Incident Current [I_i]			+10% -10%
✖Transmitted Current is defined as the Current wave that is traveling through the Load of the Transmission line.ⓘ Transmitted Current [I_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 Current [Z₀]

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Formula

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Characteristic Impedance using Transmitted Current

Formula

Z 0 = I l \cdot \frac{2 \cdot I i - I t}{I t}

Example

34.24 Ω = 8.56 Ω \cdot \frac{2 \cdot 12 A - 4.8 A}{4.8 A}

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Characteristic Impedance using Transmitted Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Impedance = Load Impedance*(2*Incident Current-Transmitted Current)/Transmitted Current
Z₀ = I_l*(2*I_i-I_t)/I_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 Current - (Measured in Ampere) - Incident Current is the Current wave that is traveling from the sending end to the receiving end of the Transmission line during any transient condition.
Transmitted Current - (Measured in Ampere) - Transmitted Current is defined as the Current 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 Current: 12 Ampere --> 12 Ampere No Conversion Required
Transmitted Current: 4.8 Ampere --> 4.8 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z₀ = I_l*(2*I_i-I_t)/I_t --> 8.56*(2*12-4.8)/4.8

Evaluating ... ...

Z₀ = 34.24

STEP 3: Convert Result to Output's Unit

34.24 Ohm --> No Conversion Required

FINAL ANSWER

34.24 Ohm <-- Characteristic Impedance

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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 Transmitted Current Formula

Characteristic Impedance = Load Impedance*(2*Incident Current-Transmitted Current)/Transmitted Current
Z₀ = I_l*(2*I_i-I_t)/I_t

What are transmitted waves in power system?

The transmitted waves are the Voltage wave or current wave that is traveling through the load of the Transmission line. Travelling wave on transmission line is the voltage / current waves which propagate from the source end to the load end during the transient condition. These waves travel along the line with the velocity equal to velocity of light if line losses are neglected.

How to Calculate Characteristic Impedance using Transmitted Current?

Characteristic Impedance using Transmitted Current calculator uses Characteristic Impedance = Load Impedance*(2*Incident Current-Transmitted Current)/Transmitted Current to calculate the Characteristic Impedance, The Characteristic Impedance using Transmitted 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 Transmitted Current using this online calculator? To use this online calculator for Characteristic Impedance using Transmitted Current, enter Load Impedance (I_l), Incident Current (I_i) & Transmitted Current (I_t) and hit the calculate button. Here is how the Characteristic Impedance using Transmitted Current calculation can be explained with given input values -> 34.24 = 8.56*(2*12-4.8)/4.8.

FAQ

What is Characteristic Impedance using Transmitted Current?

The Characteristic Impedance using Transmitted 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*(2*I_i-I_t)/I_t or Characteristic Impedance = Load Impedance*(2*Incident Current-Transmitted Current)/Transmitted Current. The load impedance is defined as the impedance of the load of the Transmission line during transient, Incident Current is the Current wave that is traveling from the sending end to the receiving end of the Transmission line during any transient condition & Transmitted Current is defined as the Current wave that is traveling through the Load of the Transmission line.

How to calculate Characteristic Impedance using Transmitted Current?

The Characteristic Impedance using Transmitted 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*(2*Incident Current-Transmitted Current)/Transmitted Current. To calculate Characteristic Impedance using Transmitted Current, you need Load Impedance (I_l), Incident Current (I_i) & Transmitted Current (I_t). With our tool, you need to enter the respective value for Load Impedance, Incident Current & Transmitted 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 Current & Transmitted 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*(Reflection Coefficient of Current-1)/(1-Reflection Coefficient of Current)
Characteristic Impedance = Load Impedance*(1-Reflection Coefficient of Voltage)/(Reflection Coefficient of Voltage+1)

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