Load Impedance using Transmitted Voltage 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 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%
✖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 using Transmitted Voltage [I_l]

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Load Impedance using Transmitted Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Load Impedance - (Measured in Ohm) - The load impedance is defined as the impedance of the load of the Transmission line during transient.
Transmitted Voltage - (Measured in Volt) - Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line.
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.

STEP 1: Convert Input(s) to Base Unit

Transmitted Voltage: 20 Volt --> 20 Volt No Conversion Required
Characteristic Impedance: 55.5 Ohm --> 55.5 Ohm No Conversion Required
Incident Voltage: 6 Volt --> 6 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_l = V_t*Z₀/(2*V_i-V_t) --> 20*55.5/(2*6-20)

Evaluating ... ...

I_l = -138.75

STEP 3: Convert Result to Output's Unit

-138.75 Ohm --> No Conversion Required

FINAL ANSWER

-138.75 Ohm <-- Load Impedance

(Calculation completed in 00.020 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Transient Calculators

Load Impedance using Reflected Coefficient of Current

LaTeX Go Load Impedance = Characteristic Impedance*(1-Reflection Coefficient of Current)/(Reflection Coefficient of Current-1)

Load Impedance using Reflected Coefficient of Voltage

LaTeX Go Load Impedance = Characteristic Impedance*(Reflection Coefficient of Voltage+1)/(1-Reflection Coefficient of Voltage)

Characteristic Impedance (Line SC)

LaTeX Go Characteristic Impedance = Incident Voltage/Incident Current

Incident Voltage using Transmitted Voltage (Load OC)

LaTeX Go Incident Voltage = Transmitted Voltage/2

Load Impedance using Transmitted Voltage Formula

LaTeX Go

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

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 Load Impedance using Transmitted Voltage?

Load Impedance using Transmitted Voltage calculator uses Load Impedance = Transmitted Voltage*Characteristic Impedance/(2*Incident Voltage-Transmitted Voltage) to calculate the Load Impedance, The Load Impedance using Transmitted Voltage formula is defined as the impedance of the load of the Transmission line. Load Impedance is denoted by I_l symbol.

How to calculate Load Impedance using Transmitted Voltage using this online calculator? To use this online calculator for Load Impedance using Transmitted Voltage, enter Transmitted Voltage (V_t), Characteristic Impedance (Z₀) & Incident Voltage (V_i) and hit the calculate button. Here is how the Load Impedance using Transmitted Voltage calculation can be explained with given input values -> -138.75 = 20*55.5/(2*6-20).

FAQ

What is Load Impedance using Transmitted Voltage?

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

How to calculate Load Impedance using Transmitted Voltage?

The Load Impedance using Transmitted Voltage formula is defined as the impedance of the load of the Transmission line is calculated using Load Impedance = Transmitted Voltage*Characteristic Impedance/(2*Incident Voltage-Transmitted Voltage). To calculate Load Impedance using Transmitted Voltage, you need Transmitted Voltage (V_t), Characteristic Impedance (Z₀) & Incident Voltage (V_i). With our tool, you need to enter the respective value for Transmitted Voltage, Characteristic Impedance & Incident Voltage 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 Load Impedance?

In this formula, Load Impedance uses Transmitted Voltage, Characteristic Impedance & Incident Voltage. We can use 3 other way(s) to calculate the same, which is/are as follows -

Load Impedance = Characteristic Impedance*(1-Reflection Coefficient of Current)/(Reflection Coefficient of Current-1)
Load Impedance = Characteristic Impedance*(Reflection Coefficient of Voltage+1)/(1-Reflection Coefficient of Voltage)
Load Impedance = Characteristic Impedance*(Incident Voltage+Reflected Voltage)/(Reflected Voltage-Incident Voltage)

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