Characteristic Impedance (Line SC) Calculator

✖The Incident Voltage on the transmission line is equal to half the generator voltage.ⓘ Incident Voltage [V_i]			+10% -10%
✖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.ⓘ Incident Current [I_i]			+10% -10%

✖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 (Line SC) [Z₀]

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Formula

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Characteristic Impedance (Line SC)

Formula

`"Z"_{"0"} = "V"_{"i"}/"I"_{"i"}`

Example

`"0.5Ω"="6V"/"12A"`

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Characteristic Impedance (Line SC) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Impedance = Incident Voltage/Incident Current
Z₀ = V_i/I_i
This formula uses 3 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.
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

Z₀ = V_i/I_i --> 6/12

Evaluating ... ...

Z₀ = 0.5

STEP 3: Convert Result to Output's Unit

0.5 Ohm --> No Conversion Required

FINAL ANSWER

0.5 Ohm <-- Characteristic Impedance

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Transmission Lines » Transient » Characteristic Impedance (Line SC)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ 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

Characteristic Impedance (Line SC) Formula

Characteristic Impedance = Incident Voltage/Incident Current
Z₀ = V_i/I_i

Explain Short-Circuited Line for Travelling Waves.

The unique characteristic of the short circuit is that the voltage across it is zero. When an incident voltage wave E arrives at a short circuit, the reflected voltage wave must be – E to satisfy the condition that the voltage across the short circuit is zero.

How to Calculate Characteristic Impedance (Line SC)?

Characteristic Impedance (Line SC) calculator uses Characteristic Impedance = Incident Voltage/Incident Current to calculate the Characteristic Impedance, The Characteristic Impedance (Line SC) formula is defined as the apparent opposition in an electrical circuit to the flow of an alternating current that is analogous to the actual electrical resistance to a direct current and that is the ratio of effective electromotive force to the effective current. Characteristic Impedance is denoted by Z₀ symbol.

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

FAQ

What is Characteristic Impedance (Line SC)?

The Characteristic Impedance (Line SC) formula is defined as the apparent opposition in an electrical circuit to the flow of an alternating current that is analogous to the actual electrical resistance to a direct current and that is the ratio of effective electromotive force to the effective current and is represented as Z₀ = V_i/I_i or Characteristic Impedance = 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 Characteristic Impedance (Line SC)?

The Characteristic Impedance (Line SC) formula is defined as the apparent opposition in an electrical circuit to the flow of an alternating current that is analogous to the actual electrical resistance to a direct current and that is the ratio of effective electromotive force to the effective current is calculated using Characteristic Impedance = Incident Voltage/Incident Current. To calculate Characteristic Impedance (Line SC), you need Incident Voltage (V_i) & Incident Current (I_i). 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 Characteristic Impedance?

In this formula, Characteristic Impedance uses Incident Voltage & Incident Current. We can use 5 other way(s) to calculate the same, which is/are as follows -

Characteristic Impedance = Load Impedance*(2*Incident Current-Transmitted Current)/Transmitted 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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