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 = Il*(2*Ii-It)/It
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 = Il*(2*Ii-It)/It --> 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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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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

Characteristic Impedance using Transmitted Current Formula

Characteristic Impedance = Load Impedance*(2*Incident Current-Transmitted Current)/Transmitted Current
Z0 = Il*(2*Ii-It)/It

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 (Il), Incident Current (Ii) & Transmitted Current (It) 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 = Il*(2*Ii-It)/It 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 (Il), Incident Current (Ii) & Transmitted Current (It). 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 5 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)
  • Characteristic Impedance = Load Impedance*(2-Transmission Coefficient of Voltage)/Transmission Coefficient of Voltage
  • Characteristic Impedance = Load Impedance*(2*Incident Voltage-Transmitted Voltage)/Transmitted Voltage
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