Load Impedance using Reflected Current Calculator

✖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 [Z₀]			+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 load impedance is defined as the impedance of the load of the Transmission line during transient.ⓘ Load Impedance using Reflected Current [I_l]

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Formula

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Load Impedance using Reflected Current

Formula

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

Example

`"-388.5Ω"="55.5Ω"*("6V"+"4.5V")/("4.5V"-"6V")`

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Load Impedance using Reflected Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load Impedance = Characteristic Impedance*(Incident Voltage+Reflected Voltage)/(Reflected Voltage-Incident Voltage)
I_l = Z₀*(V_i+E_r)/(E_r-V_i)
This formula uses 4 Variables

Variables Used

Load Impedance - (Measured in Ohm) - The load impedance is defined as the impedance of the load of the Transmission line during transient.
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.
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

Characteristic Impedance: 55.5 Ohm --> 55.5 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

I_l = Z₀*(V_i+E_r)/(E_r-V_i) --> 55.5*(6+4.5)/(4.5-6)

Evaluating ... ...

I_l = -388.5

STEP 3: Convert Result to Output's Unit

-388.5 Ohm --> No Conversion Required

FINAL ANSWER

-388.5 Ohm <-- Load Impedance

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Transmission Lines » Transient » Load Impedance using Reflected Current

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

Verified by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

Shobhit Dimri has verified this Calculator and 100+ more calculators!

< 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

Load Impedance using Reflected Current Formula

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

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 Load Impedance using Reflected Current?

Load Impedance using Reflected Current calculator uses Load Impedance = Characteristic Impedance*(Incident Voltage+Reflected Voltage)/(Reflected Voltage-Incident Voltage) to calculate the Load Impedance, The Load Impedance using Reflected Current formula is defined as the impedance of the load of the Transmission line. Load Impedance is denoted by I_l symbol.

How to calculate Load Impedance using Reflected Current using this online calculator? To use this online calculator for Load Impedance using Reflected Current, enter Characteristic Impedance (Z₀), Incident Voltage (V_i) & Reflected Voltage (E_r) and hit the calculate button. Here is how the Load Impedance using Reflected Current calculation can be explained with given input values -> -388.5 = 55.5*(6+4.5)/(4.5-6).

FAQ

What is Load Impedance using Reflected Current?

The Load Impedance using Reflected Current formula is defined as the impedance of the load of the Transmission line and is represented as I_l = Z₀*(V_i+E_r)/(E_r-V_i) or Load Impedance = Characteristic Impedance*(Incident Voltage+Reflected Voltage)/(Reflected Voltage-Incident Voltage). 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, 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 Load Impedance using Reflected Current?

The Load Impedance using Reflected Current formula is defined as the impedance of the load of the Transmission line is calculated using Load Impedance = Characteristic Impedance*(Incident Voltage+Reflected Voltage)/(Reflected Voltage-Incident Voltage). To calculate Load Impedance using Reflected Current, you need Characteristic Impedance (Z₀), Incident Voltage (V_i) & Reflected Voltage (E_r). With our tool, you need to enter the respective value for Characteristic 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 Load Impedance?

In this formula, Load Impedance uses Characteristic Impedance, Incident Voltage & Reflected Voltage. We can use 4 other way(s) to calculate the same, which is/are as follows -

Load Impedance = Characteristic Impedance*(1-Reflection Coefficient of Current)/(Reflection Coefficient of Current-1)
Load Impedance = Characteristic Impedance*(Reflection Coefficient of Voltage+1)/(1-Reflection Coefficient of Voltage)
Load Impedance = Transmitted Voltage/Transmitted Current
Load Impedance = Transmitted Voltage*Characteristic Impedance/(2*Incident Voltage-Transmitted Voltage)

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