Impedance-1 using Incident Current and Voltage (Line PL) Solution

STEP 0: Pre-Calculation Summary
Formula Used
Impedance of Primary Winding = Incident Voltage/Incident Current
Z1 = Vi/Ii
This formula uses 3 Variables
Variables Used
Impedance of Primary Winding - (Measured in Ohm) - The Impedance of Primary Winding is the total of primary Resistance and Reactance.
Incident Voltage - (Measured in Volt) - The Incident Voltage on the transmission line is equal to half the generator voltage.
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.
STEP 1: Convert Input(s) to Base Unit
Incident Voltage: 6 Volt --> 6 Volt No Conversion Required
Incident Current: 12 Ampere --> 12 Ampere No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Z1 = Vi/Ii --> 6/12
Evaluating ... ...
Z1 = 0.5
STEP 3: Convert Result to Output's Unit
0.5 Ohm --> No Conversion Required
FINAL ANSWER
0.5 Ohm <-- Impedance of Primary Winding
(Calculation completed in 00.020 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
Urvi Rathod has created this Calculator and 1500+ more calculators!
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Osmania University (OU), Hyderabad
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20 Impedance-1,2 & 3 Calculators

Impedance-1 using Reflected Coefficient of Current (Line PL)
Go Impedance of Primary Winding = (-1)*(1-Reflection Coefficient of Voltage)/((Reflection Coefficient of Voltage+1)*((1/Impedance of Secondary Winding)+(1/Impedance of Tertiary Winding)))
Impedance-1 using Transmitted Voltage (Line PL)
Go Impedance of Primary Winding = (Incident Voltage-Reflected Voltage)*(Impedance of Secondary Winding+Impedance of Tertiary Winding)/Transmitted Voltage
Impedance-2 using Reflected Coefficient of Current (Line PL)
Go Impedance of Secondary Winding = (2/Impedance of Primary Winding*(-Reflection Coefficient of Voltage+1))-(1/Impedance of Primary Winding)-(1/Impedance of Tertiary Winding)
Impedance-3 using Reflected Coefficient of Current (Line PL)
Go Impedance of Tertiary Winding = (2/Impedance of Primary Winding*(-Reflection Coefficient of Voltage+1))-(1/Impedance of Primary Winding)-(1/Impedance of Secondary Winding)
Impedance-2 using Transmitted Coefficient of Voltage (Line PL)
Go Impedance of Secondary Winding = (2/(Impedance of Primary Winding*Transmission Coefficient of Voltage))-(1/Impedance of Primary Winding)-(1/Impedance of Tertiary Winding)
Impedance-3 using Transmitted Coefficient of Voltage (Line PL)
Go Impedance of Tertiary Winding = (2/(Impedance of Primary Winding*Transmission Coefficient of Voltage))-(1/Impedance of Primary Winding)-(1/Impedance of Secondary Winding)
Impedance-3 using Reflected Coefficient of Voltage (Line PL)
Go Impedance of Tertiary Winding = (2/Impedance of Primary Winding*(Reflection Coefficient of Voltage+1))-(1/Impedance of Primary Winding)-(1/Impedance of Secondary Winding)
Impedance-2 using Reflected Coefficient of Voltage (Line PL)
Go Impedance of Secondary Winding = (2/Impedance of Primary Winding*(Reflection Coefficient of Voltage+1))-(1/Impedance of Primary Winding)-(1/Impedance of Tertiary Winding)
Impedance-2 using Transmitted Coefficient of Current-2 (Line PL)
Go Impedance of Secondary Winding = Transmitted Voltage*Impedance of Primary Winding/(Transmission Coefficient of Current*Incident Voltage)
Impedance-1 using Transmitted Coefficient of Current-2 (Line PL)
Go Impedance of Primary Winding = Transmission Coefficient of Current*Incident Voltage*Impedance of Secondary Winding/(Transmitted Voltage)
Impedance-3 using Transmitted Coefficient of Current-3 (Line PL)
Go Impedance of Tertiary Winding = Transmitted Voltage*Impedance of Primary Winding/(Incident Voltage*Transmission Coefficient of Current)
Impedance-1 for Transmitted Coefficient of Current-2 (Line PL)
Go Impedance of Primary Winding = Transmission Coefficient of Current*Impedance of Secondary Winding/Transmission Coefficient of Voltage
Impedance-2 for Transmitted Coefficient of Current-2 (Line PL)
Go Impedance of Secondary Winding = Impedance of Primary Winding*Transmission Coefficient of Voltage/Transmission Coefficient of Current
Impedance-1 using Transmitted Coefficient of Current-3 (Line PL)
Go Impedance of Primary Winding = Transmission Coefficient of Current*Impedance of Tertiary Winding/Transmission Coefficient of Voltage
Impedance-1 for Transmitted Coefficient of Current-3 (Line PL)
Go Impedance of Primary Winding = Transmission Coefficient of Current*Impedance of Tertiary Winding/Transmission Coefficient of Voltage
Impedance-3 for Transmitted Coefficient of Current-3 (Line PL)
Go Impedance of Tertiary Winding = Transmission Coefficient of Voltage*Impedance of Primary Winding/Transmission Coefficient of Current
Impedance-2 using Transmitted Current-2 (Line PL)
Go Impedance of Secondary Winding = Transmitted Voltage/Transmitted Current
Impedance-2 using Transmitted Voltage (Line PL)
Go Impedance of Secondary Winding = Transmitted Voltage/Transmitted Current
Impedance-3 using Transmitted Voltage (Line PL)
Go Impedance of Tertiary Winding = Transmitted Voltage/Transmitted Current
Impedance-1 using Incident Current and Voltage (Line PL)
Go Impedance of Primary Winding = Incident Voltage/Incident Current

Impedance-1 using Incident Current and Voltage (Line PL) Formula

Impedance of Primary Winding = Incident Voltage/Incident Current
Z1 = Vi/Ii

What is incident voltage and current?

Incident Voltage is the voltage wave that is traveling from the sending end to the receiving end of the Transmission line.
Incident Current is the current wave that is traveling from the sending end to the receiving end of the Transmission line.

How to Calculate Impedance-1 using Incident Current and Voltage (Line PL)?

Impedance-1 using Incident Current and Voltage (Line PL) calculator uses Impedance of Primary Winding = Incident Voltage/Incident Current to calculate the Impedance of Primary Winding, The Impedance-1 using Incident Current and Voltage (line PL) formula is defined as a measure of the overall opposition of a circuit to current, in other words: how much the circuit impedes the flow of charge. It is like resistance, but it also takes into account the effects of capacitance and inductance. Impedance-1 is measured in ohms. Impedance of Primary Winding is denoted by Z1 symbol.

How to calculate Impedance-1 using Incident Current and Voltage (Line PL) using this online calculator? To use this online calculator for Impedance-1 using Incident Current and Voltage (Line PL), enter Incident Voltage (Vi) & Incident Current (Ii) and hit the calculate button. Here is how the Impedance-1 using Incident Current and Voltage (Line PL) calculation can be explained with given input values -> 0.5 = 6/12.

FAQ

What is Impedance-1 using Incident Current and Voltage (Line PL)?
The Impedance-1 using Incident Current and Voltage (line PL) formula is defined as a measure of the overall opposition of a circuit to current, in other words: how much the circuit impedes the flow of charge. It is like resistance, but it also takes into account the effects of capacitance and inductance. Impedance-1 is measured in ohms and is represented as Z1 = Vi/Ii or Impedance of Primary Winding = Incident Voltage/Incident Current. The Incident Voltage on the transmission line is equal to half the generator voltage & 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.
How to calculate Impedance-1 using Incident Current and Voltage (Line PL)?
The Impedance-1 using Incident Current and Voltage (line PL) formula is defined as a measure of the overall opposition of a circuit to current, in other words: how much the circuit impedes the flow of charge. It is like resistance, but it also takes into account the effects of capacitance and inductance. Impedance-1 is measured in ohms is calculated using Impedance of Primary Winding = Incident Voltage/Incident Current. To calculate Impedance-1 using Incident Current and Voltage (Line PL), you need Incident Voltage (Vi) & Incident Current (Ii). With our tool, you need to enter the respective value for Incident Voltage & Incident 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 Impedance of Primary Winding?
In this formula, Impedance of Primary Winding uses Incident Voltage & Incident Current. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Impedance of Primary Winding = (Incident Voltage-Reflected Voltage)*(Impedance of Secondary Winding+Impedance of Tertiary Winding)/Transmitted Voltage
  • Impedance of Primary Winding = Transmission Coefficient of Current*Incident Voltage*Impedance of Secondary Winding/(Transmitted Voltage)
  • Impedance of Primary Winding = Transmission Coefficient of Current*Impedance of Tertiary Winding/Transmission Coefficient of Voltage
  • Impedance of Primary Winding = Transmission Coefficient of Current*Impedance of Tertiary Winding/Transmission Coefficient of Voltage
  • Impedance of Primary Winding = Transmission Coefficient of Current*Impedance of Secondary Winding/Transmission Coefficient of Voltage
  • Impedance of Primary Winding = (-1)*(1-Reflection Coefficient of Voltage)/((Reflection Coefficient of Voltage+1)*((1/Impedance of Secondary Winding)+(1/Impedance of Tertiary Winding)))
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