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)
Il = Z0*(Vi+Er)/(Er-Vi)
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
Il = Z0*(Vi+Er)/(Er-Vi) --> 55.5*(6+4.5)/(4.5-6)
Evaluating ... ...
Il = -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 00.009 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Transient Calculators

Load Impedance using Reflected Coefficient of Current
​ LaTeX ​ Go Load Impedance = Characteristic Impedance*(1-Reflection Coefficient of Current)/(Reflection Coefficient of Current-1)
Load Impedance using Reflected Coefficient of Voltage
​ LaTeX ​ Go Load Impedance = Characteristic Impedance*(Reflection Coefficient of Voltage+1)/(1-Reflection Coefficient of Voltage)
Characteristic Impedance (Line SC)
​ LaTeX ​ Go Characteristic Impedance = Incident Voltage/Incident Current
Incident Voltage using Transmitted Voltage (Load OC)
​ LaTeX ​ Go Incident Voltage = Transmitted Voltage/2

Load Impedance using Reflected Current Formula

​LaTeX ​Go
Load Impedance = Characteristic Impedance*(Incident Voltage+Reflected Voltage)/(Reflected Voltage-Incident Voltage)
Il = Z0*(Vi+Er)/(Er-Vi)

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 Il 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 (Vi) & Reflected Voltage (Er) 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 Il = Z0*(Vi+Er)/(Er-Vi) 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 (Vi) & Reflected Voltage (Er). 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 3 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
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