Load Impedance using Transmitted Voltage Solution

STEP 0: Pre-Calculation Summary
Formula Used
Load Impedance = Transmitted Voltage*Characteristic Impedance/(2*Incident Voltage-Transmitted Voltage)
Il = Vt*Z0/(2*Vi-Vt)
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.
Transmitted Voltage - (Measured in Volt) - Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line.
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.
STEP 1: Convert Input(s) to Base Unit
Transmitted Voltage: 20 Volt --> 20 Volt No Conversion Required
Characteristic Impedance: 55.5 Ohm --> 55.5 Ohm No Conversion Required
Incident Voltage: 6 Volt --> 6 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Il = Vt*Z0/(2*Vi-Vt) --> 20*55.5/(2*6-20)
Evaluating ... ...
Il = -138.75
STEP 3: Convert Result to Output's Unit
-138.75 Ohm --> No Conversion Required
FINAL ANSWER
-138.75 Ohm <-- Load Impedance
(Calculation completed in 00.020 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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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 Transmitted Voltage Formula

Load Impedance = Transmitted Voltage*Characteristic Impedance/(2*Incident Voltage-Transmitted Voltage)
Il = Vt*Z0/(2*Vi-Vt)

Define transmitted waves.

The transmitted waves are the Voltage wave or current wave that is traveling through the Load of the Transmission line.

How to Calculate Load Impedance using Transmitted Voltage?

Load Impedance using Transmitted Voltage calculator uses Load Impedance = Transmitted Voltage*Characteristic Impedance/(2*Incident Voltage-Transmitted Voltage) to calculate the Load Impedance, The Load Impedance using Transmitted Voltage 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 Transmitted Voltage using this online calculator? To use this online calculator for Load Impedance using Transmitted Voltage, enter Transmitted Voltage (Vt), Characteristic Impedance (Z0) & Incident Voltage (Vi) and hit the calculate button. Here is how the Load Impedance using Transmitted Voltage calculation can be explained with given input values -> -138.75 = 20*55.5/(2*6-20).

FAQ

What is Load Impedance using Transmitted Voltage?
The Load Impedance using Transmitted Voltage formula is defined as the impedance of the load of the Transmission line and is represented as Il = Vt*Z0/(2*Vi-Vt) or Load Impedance = Transmitted Voltage*Characteristic Impedance/(2*Incident Voltage-Transmitted Voltage). Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line, 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.
How to calculate Load Impedance using Transmitted Voltage?
The Load Impedance using Transmitted Voltage formula is defined as the impedance of the load of the Transmission line is calculated using Load Impedance = Transmitted Voltage*Characteristic Impedance/(2*Incident Voltage-Transmitted Voltage). To calculate Load Impedance using Transmitted Voltage, you need Transmitted Voltage (Vt), Characteristic Impedance (Z0) & Incident Voltage (Vi). With our tool, you need to enter the respective value for Transmitted Voltage, Characteristic Impedance & Incident 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 Transmitted Voltage, Characteristic Impedance & Incident 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 = Characteristic Impedance*(Incident Voltage+Reflected Voltage)/(Reflected Voltage-Incident Voltage)
  • Load Impedance = Transmitted Voltage/Transmitted Current
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