Load Impedance using Transmitted Coefficients Calculator

✖Transmission Coefficient of Voltage is defined as the ratio of the transmitted voltage to the incident voltage of the Transmission line during transient.ⓘ Transmission Coefficient of Voltage [τ_v]			+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 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 load impedance is defined as the impedance of the load of the Transmission line during transient.ⓘ Load Impedance using Transmitted Coefficients [I_l]

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Formula

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Load Impedance using Transmitted Coefficients

Formula

`"I"_{"l"} = "τ"_{"v"}*"Z"_{"0"}/"τ"_{"i"}`

Example

`"31.71429Ω"="4"*"55.5Ω"/"7"`

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Load Impedance using Transmitted Coefficients Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load Impedance = Transmission Coefficient of Voltage*Characteristic Impedance/Transmission Coefficient of Current
I_l = τ_v*Z₀/τ_i
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.
Transmission Coefficient of Voltage - Transmission Coefficient of Voltage is defined as the ratio of the transmitted voltage to the incident voltage 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.
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.

STEP 1: Convert Input(s) to Base Unit

Transmission Coefficient of Voltage: 4 --> No Conversion Required
Characteristic Impedance: 55.5 Ohm --> 55.5 Ohm No Conversion Required
Transmission Coefficient of Current: 7 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_l = τ_v*Z₀/τ_i --> 4*55.5/7

Evaluating ... ...

I_l = 31.7142857142857

STEP 3: Convert Result to Output's Unit

31.7142857142857 Ohm --> No Conversion Required

FINAL ANSWER

31.7142857142857 ≈ 31.71429 Ohm <-- Load Impedance

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 10+ Relation Between Coefficients Calculators

Transmitted Coefficient of Current using Transmitted Coefficient of Voltage

Go Transmission Coefficient of Current = Transmission Coefficient of Voltage*(Characteristic Impedance/Load Impedance)

Transmitted Coefficient of Voltage using Transmitted Coefficient of Current

Go Transmission Coefficient of Voltage = Transmission Coefficient of Current*(Load Impedance/Characteristic Impedance)

Characteristic Impedance using Transmitted Coefficients

Go Characteristic Impedance = Transmission Coefficient of Current*Load Impedance/Transmission Coefficient of Voltage

Load Impedance using Transmitted Coefficients

Go Load Impedance = Transmission Coefficient of Voltage*Characteristic Impedance/Transmission Coefficient of Current

Reflected Coefficient of Voltage using Reflected Coefficient of Current

Go Reflection Coefficient of Voltage = (-1)*Reflection Coefficient of Current

Reflected Coefficient of Current using Reflected Coefficient of Voltage

Go Reflection Coefficient of Current = (-1)*Reflection Coefficient of Voltage

Transmitted Coefficient of Voltage using Reflected Coefficient of Voltage

Go Transmission Coefficient of Voltage = 1+Reflection Coefficient of Voltage

Reflected Coefficient of Voltage using Transmitted Coefficient of Voltage

Go Reflection Coefficient of Voltage = Transmission Coefficient of Voltage-1

Reflected Coefficient of Current using Transmitted Coefficient of Current

Go Reflection Coefficient of Current = Transmission Coefficient of Current-1

Transmitted Coefficient of Current using Reflected Coefficient of Current

Go Transmission Coefficient of Current = 1+Reflection Coefficient of Current

Load Impedance using Transmitted Coefficients Formula

Load Impedance = Transmission Coefficient of Voltage*Characteristic Impedance/Transmission Coefficient of Current
I_l = τ_v*Z₀/τ_i

Define Transmitted Coefficients.

Transmitted Coefficient Of Voltage defined as the ratio of the transmitted voltage to the incident voltage of the Transmission line.
Transmitted Coefficient Of Current defined as the ratio of the transmitted Current to the incident Current of the Transmission line.

How to Calculate Load Impedance using Transmitted Coefficients?

Load Impedance using Transmitted Coefficients calculator uses Load Impedance = Transmission Coefficient of Voltage*Characteristic Impedance/Transmission Coefficient of Current to calculate the Load Impedance, The Load Impedance using Transmitted Coefficients 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. Load Impedance is denoted by I_l symbol.

How to calculate Load Impedance using Transmitted Coefficients using this online calculator? To use this online calculator for Load Impedance using Transmitted Coefficients, enter Transmission Coefficient of Voltage (τ_v), Characteristic Impedance (Z₀) & Transmission Coefficient of Current (τ_i) and hit the calculate button. Here is how the Load Impedance using Transmitted Coefficients calculation can be explained with given input values -> 31.71429 = 4*55.5/7.

FAQ

What is Load Impedance using Transmitted Coefficients?

The Load Impedance using Transmitted Coefficients 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 I_l = τ_v*Z₀/τ_i or Load Impedance = Transmission Coefficient of Voltage*Characteristic Impedance/Transmission Coefficient of Current. Transmission Coefficient of Voltage is defined as the ratio of the transmitted voltage to the incident voltage 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 & The transmission Coefficient Of Current is defined as the ratio of the transmitted current to the incident current of the Transmission line during transient.

How to calculate Load Impedance using Transmitted Coefficients?

The Load Impedance using Transmitted Coefficients 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 Load Impedance = Transmission Coefficient of Voltage*Characteristic Impedance/Transmission Coefficient of Current. To calculate Load Impedance using Transmitted Coefficients, you need Transmission Coefficient of Voltage (τ_v), Characteristic Impedance (Z₀) & Transmission Coefficient of Current (τ_i). With our tool, you need to enter the respective value for Transmission Coefficient of Voltage, Characteristic Impedance & Transmission Coefficient of Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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