Incident Voltage using Transmitted Coefficient of Current-2 (Line PL) Calculator

✖Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line.ⓘ Transmitted Voltage [V_t]			+10% -10%
✖The Impedance of Primary Winding is the total of primary Resistance and Reactance.ⓘ Impedance of Primary Winding [Z₁]			+10% -10%
✖The transmission Coefficient Of Current is defined as the ratio of the transmitted current to the incident current of the Transmission line during transient.ⓘ Transmission Coefficient of Current [τ_i]			+10% -10%
✖The Impedance of Secondary Winding is the impedance that is in Secondary winding.ⓘ Impedance of Secondary Winding [Z₂]			+10% -10%

✖The Incident Voltage on the transmission line is equal to half the generator voltage.ⓘ Incident Voltage using Transmitted Coefficient of Current-2 (Line PL) [V_i]

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Formula

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Incident Voltage using Transmitted Coefficient of Current-2 (Line PL)

Formula

`"V"_{"i"} = "V"_{"t"}*"Z"_{"1"}/("τ"_{"i"}*"Z"_{"2"})`

Example

`"3.214286V"="20V"*"18Ω"/("7"*"16Ω")`

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Incident Voltage using Transmitted Coefficient of Current-2 (Line PL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Incident Voltage = Transmitted Voltage*Impedance of Primary Winding/(Transmission Coefficient of Current*Impedance of Secondary Winding)
V_i = V_t*Z₁/(τ_i*Z₂)
This formula uses 5 Variables

Variables Used

Incident Voltage - (Measured in Volt) - The Incident Voltage on the transmission line is equal to half the generator voltage.
Transmitted Voltage - (Measured in Volt) - Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line.
Impedance of Primary Winding - (Measured in Ohm) - The Impedance of Primary Winding is the total of primary Resistance and Reactance.
Transmission Coefficient of Current - The transmission Coefficient Of Current is defined as the ratio of the transmitted current to the incident current of the Transmission line during transient.
Impedance of Secondary Winding - (Measured in Ohm) - The Impedance of Secondary Winding is the impedance that is in Secondary winding.

STEP 1: Convert Input(s) to Base Unit

Transmitted Voltage: 20 Volt --> 20 Volt No Conversion Required
Impedance of Primary Winding: 18 Ohm --> 18 Ohm No Conversion Required
Transmission Coefficient of Current: 7 --> No Conversion Required
Impedance of Secondary Winding: 16 Ohm --> 16 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_i = V_t*Z₁/(τ_i*Z₂) --> 20*18/(7*16)

Evaluating ... ...

V_i = 3.21428571428571

STEP 3: Convert Result to Output's Unit

3.21428571428571 Volt --> No Conversion Required

FINAL ANSWER

3.21428571428571 ≈ 3.214286 Volt <-- Incident Voltage

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Transmission Lines » Transient » Incident Voltage using Transmitted Coefficient of Current-2 (Line PL)

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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

Incident Voltage using Transmitted Coefficient of Current-2 (Line PL) Formula

Incident Voltage = Transmitted Voltage*Impedance of Primary Winding/(Transmission Coefficient of Current*Impedance of Secondary Winding)
V_i = V_t*Z₁/(τ_i*Z₂)

What is Transmitted Coefficient Of Current-2?

Transmitted Coefficient Of Current-2 is defined as the ratio of the transmitted Current-2 to the incident Current of the Transmission line.

How to Calculate Incident Voltage using Transmitted Coefficient of Current-2 (Line PL)?

Incident Voltage using Transmitted Coefficient of Current-2 (Line PL) calculator uses Incident Voltage = Transmitted Voltage*Impedance of Primary Winding/(Transmission Coefficient of Current*Impedance of Secondary Winding) to calculate the Incident Voltage, The Incident Voltage using Transmitted Coefficient of Current-2 (line PL) formula is defined as the voltage wave that is traveling from the sending end to the receiving end of the Transmission line. Incident Voltage is denoted by V_i symbol.

How to calculate Incident Voltage using Transmitted Coefficient of Current-2 (Line PL) using this online calculator? To use this online calculator for Incident Voltage using Transmitted Coefficient of Current-2 (Line PL), enter Transmitted Voltage (V_t), Impedance of Primary Winding (Z₁), Transmission Coefficient of Current (τ_i) & Impedance of Secondary Winding (Z₂) and hit the calculate button. Here is how the Incident Voltage using Transmitted Coefficient of Current-2 (Line PL) calculation can be explained with given input values -> 3.214286 = 20*18/(7*16).

FAQ

What is Incident Voltage using Transmitted Coefficient of Current-2 (Line PL)?

The Incident Voltage using Transmitted Coefficient of Current-2 (line PL) formula is defined as the voltage wave that is traveling from the sending end to the receiving end of the Transmission line and is represented as V_i = V_t*Z₁/(τ_i*Z₂) or Incident Voltage = Transmitted Voltage*Impedance of Primary Winding/(Transmission Coefficient of Current*Impedance of Secondary Winding). Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line, The Impedance of Primary Winding is the total of primary Resistance and Reactance, The transmission Coefficient Of Current is defined as the ratio of the transmitted current to the incident current of the Transmission line during transient & The Impedance of Secondary Winding is the impedance that is in Secondary winding.

How to calculate Incident Voltage using Transmitted Coefficient of Current-2 (Line PL)?

The Incident Voltage using Transmitted Coefficient of Current-2 (line PL) formula is defined as the voltage wave that is traveling from the sending end to the receiving end of the Transmission line is calculated using Incident Voltage = Transmitted Voltage*Impedance of Primary Winding/(Transmission Coefficient of Current*Impedance of Secondary Winding). To calculate Incident Voltage using Transmitted Coefficient of Current-2 (Line PL), you need Transmitted Voltage (V_t), Impedance of Primary Winding (Z₁), Transmission Coefficient of Current (τ_i) & Impedance of Secondary Winding (Z₂). With our tool, you need to enter the respective value for Transmitted Voltage, Impedance of Primary Winding, Transmission Coefficient of Current & Impedance of Secondary Winding 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 Incident Voltage?

In this formula, Incident Voltage uses Transmitted Voltage, Impedance of Primary Winding, Transmission Coefficient of Current & Impedance of Secondary Winding. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

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