Transmitted Voltage using Incident Current Calculator

✖The Incident Voltage on the transmission line is equal to half the generator voltage.ⓘ Incident Voltage [V_i]			+10% -10%
✖The load impedance is defined as the impedance of the load of the Transmission line during transient.ⓘ Load Impedance [I_l]			+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 [Z₀]			+10% -10%

✖Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line.ⓘ Transmitted Voltage using Incident Current [V_t]

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Formula

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Transmitted Voltage using Incident Current

Formula

`"V"_{"t"} = 2*"V"_{"i"}*"I"_{"l"}/("I"_{"l"}+"Z"_{"0"})`

Example

`"1.603497V"=2*"6V"*"8.56Ω"/("8.56Ω"+"55.5Ω")`

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Transmitted Voltage using Incident Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transmitted Voltage = 2*Incident Voltage*Load Impedance/(Load Impedance+Characteristic Impedance)
V_t = 2*V_i*I_l/(I_l+Z₀)
This formula uses 4 Variables

Variables Used

Transmitted Voltage - (Measured in Volt) - Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line.
Incident Voltage - (Measured in Volt) - The Incident Voltage on the transmission line is equal to half the generator voltage.
Load Impedance - (Measured in Ohm) - The load impedance is defined as the impedance of the load of the Transmission line during transient.
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.

STEP 1: Convert Input(s) to Base Unit

Incident Voltage: 6 Volt --> 6 Volt No Conversion Required
Load Impedance: 8.56 Ohm --> 8.56 Ohm No Conversion Required
Characteristic Impedance: 55.5 Ohm --> 55.5 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_t = 2*V_i*I_l/(I_l+Z₀) --> 2*6*8.56/(8.56+55.5)

Evaluating ... ...

V_t = 1.60349672182329

STEP 3: Convert Result to Output's Unit

1.60349672182329 Volt --> No Conversion Required

FINAL ANSWER

1.60349672182329 ≈ 1.603497 Volt <-- Transmitted Voltage

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Transmission Lines » Transient » Travelling Waves » Transmitted Or Refracted Waves » Transmitted Voltage using Incident Current

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 7 Transmitted Or Refracted Waves Calculators

Load Impedance using Transmitted Current

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

Incident Voltage using Transmitted Voltage

Go Incident Voltage = Transmitted Voltage*(Characteristic Impedance+Load Impedance)/(2*Load Impedance)

Incident Current using Transmitted Current

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

Transmitted Voltage using Incident Current

Go Transmitted Voltage = 2*Incident Voltage*Load Impedance/(Load Impedance+Characteristic Impedance)

Transmitted Current using Incident Current

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

Transmitted Current using Incident and Reflected Current

Go Transmitted Current = Incident Current+Reflected Current

Transmitted Voltage Transmitted Wave

Go Transmitted Voltage = Load Impedance*Transmitted Current

Transmitted Voltage using Incident Current Formula

Transmitted Voltage = 2*Incident Voltage*Load Impedance/(Load Impedance+Characteristic Impedance)
V_t = 2*V_i*I_l/(I_l+Z₀)

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 Transmitted Voltage using Incident Current?

Transmitted Voltage using Incident Current calculator uses Transmitted Voltage = 2*Incident Voltage*Load Impedance/(Load Impedance+Characteristic Impedance) to calculate the Transmitted Voltage, The Transmitted Voltage using Incident Current formula is defined as the Voltage wave that is traveling through the Load of the Transmission line. Transmitted Voltage is denoted by V_t symbol.

How to calculate Transmitted Voltage using Incident Current using this online calculator? To use this online calculator for Transmitted Voltage using Incident Current, enter Incident Voltage (V_i), Load Impedance (I_l) & Characteristic Impedance (Z₀) and hit the calculate button. Here is how the Transmitted Voltage using Incident Current calculation can be explained with given input values -> 1.603497 = 2*6*8.56/(8.56+55.5).

FAQ

What is Transmitted Voltage using Incident Current?

The Transmitted Voltage using Incident Current formula is defined as the Voltage wave that is traveling through the Load of the Transmission line and is represented as V_t = 2*V_i*I_l/(I_l+Z₀) or Transmitted Voltage = 2*Incident Voltage*Load Impedance/(Load Impedance+Characteristic Impedance). The Incident Voltage on the transmission line is equal to half the generator voltage, The load impedance is defined as the impedance of the load of the Transmission line during transient & 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.

How to calculate Transmitted Voltage using Incident Current?

The Transmitted Voltage using Incident Current formula is defined as the Voltage wave that is traveling through the Load of the Transmission line is calculated using Transmitted Voltage = 2*Incident Voltage*Load Impedance/(Load Impedance+Characteristic Impedance). To calculate Transmitted Voltage using Incident Current, you need Incident Voltage (V_i), Load Impedance (I_l) & Characteristic Impedance (Z₀). With our tool, you need to enter the respective value for Incident Voltage, Load Impedance & Characteristic Impedance 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 Transmitted Voltage?

In this formula, Transmitted Voltage uses Incident Voltage, Load Impedance & Characteristic Impedance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Transmitted Voltage = Load Impedance*Transmitted Current

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