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Characteristic Impedance using Transmitted Voltage Formula

GoCharacteristic Impedance (Line SC) Formula

GoCharacteristic Impedance using Transmitted Current Formula

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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. Check FAQs

Z 0 = I l \cdot \frac{2 \cdot V i - V t}{V t}

Z₀ - Characteristic Impedance?I_l - Load Impedance?V_i - Incident Voltage?V_t - Transmitted Voltage?

Characteristic Impedance using Transmitted Voltage Example

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Here is how the Characteristic Impedance using Transmitted Voltage equation looks like with Values.

Here is how the Characteristic Impedance using Transmitted Voltage equation looks like with Units.

Here is how the Characteristic Impedance using Transmitted Voltage equation looks like.

-3.424 = 8.56 \cdot \frac{2 \cdot 6 - 20}{20}

-3.424Ω = 8.56Ω \cdot \frac{2 \cdot 6V - 20V}{20V}

-3.424 = 8.56 \cdot \frac{2 \cdot 6 - 20}{20}

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Characteristic Impedance using Transmitted Voltage Solution

Follow our step by step solution on how to calculate Characteristic Impedance using Transmitted Voltage?

FIRST Step Consider the formula

Z 0 = I l \cdot \frac{2 \cdot V i - V t}{V t}

Next Step Substitute values of Variables

∴

Z 0 = 8.56Ω \cdot \frac{2 \cdot 6V - 20V}{20V}

Next Step Prepare to Evaluate

∴

Z 0 = 8.56 \cdot \frac{2 \cdot 6 - 20}{20}

LAST Step Evaluate

∴

Z 0 = -3.424Ω

Characteristic Impedance using Transmitted Voltage Formula Elements

Variables

Characteristic Impedance

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.

Symbol: Z₀

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Characteristic Impedance

Load Impedance

The load impedance is defined as the impedance of the load of the Transmission line during transient.

Symbol: I_l

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Load Impedance

Incident Voltage

The Incident Voltage on the transmission line is equal to half the generator voltage.

Symbol: V_i

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Incident Voltage

Transmitted Voltage

Transmitted Voltage is defined as the Voltage wave that is traveling through the Load of the Transmission line.

Symbol: V_t

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Transmitted Voltage

Other Formulas to find Characteristic Impedance

Go Characteristic Impedance (Line SC)

Z 0 = \frac{V i}{I i}

Go Characteristic Impedance using Transmitted Current

Z 0 = I l \cdot \frac{2 \cdot I i - I t}{I t}

Go Characteristic Impedance using Reflected Coefficient of Current

Z 0 = I l \cdot \frac{ρ i - 1}{1 - ρ i}

Go Characteristic Impedance using Reflected Coefficient of Voltage

Z 0 = I l \cdot \frac{1 - ρ v}{ρ v + 1}

Other formulas in Transient category

Go Incident Voltage using Transmitted Voltage (Load OC)

V i = \frac{V t}{2}

Go Load Impedance using Reflected Coefficient of Current

I l = Z 0 \cdot \frac{1 - ρ i}{ρ i - 1}

Go Load Impedance using Reflected Coefficient of Voltage

I l = Z 0 \cdot \frac{ρ v + 1}{1 - ρ v}

Go Reflection Coefficient for Voltage

ρ v = \frac{E r}{V i}

How to Evaluate Characteristic Impedance using Transmitted Voltage?

Characteristic Impedance using Transmitted Voltage evaluator uses Characteristic Impedance = Load Impedance*(2*Incident Voltage-Transmitted Voltage)/Transmitted Voltage to evaluate the Characteristic Impedance, The Characteristic Impedance using Transmitted Voltage formula is defined as a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line. Characteristic Impedance is denoted by Z₀ symbol.

How to evaluate Characteristic Impedance using Transmitted Voltage using this online evaluator? To use this online evaluator for Characteristic Impedance using Transmitted Voltage, enter Load Impedance (I_l), Incident Voltage (V_i) & Transmitted Voltage (V_t) and hit the calculate button.

FAQs on Characteristic Impedance using Transmitted Voltage

What is the formula to find Characteristic Impedance using Transmitted Voltage?

The formula of Characteristic Impedance using Transmitted Voltage is expressed as Characteristic Impedance = Load Impedance*(2*Incident Voltage-Transmitted Voltage)/Transmitted Voltage. Here is an example- -3.424 = 8.56*(2*6-20)/20.

How to calculate Characteristic Impedance using Transmitted Voltage?

With Load Impedance (I_l), Incident Voltage (V_i) & Transmitted Voltage (V_t) we can find Characteristic Impedance using Transmitted Voltage using the formula - Characteristic Impedance = Load Impedance*(2*Incident Voltage-Transmitted Voltage)/Transmitted Voltage.

What are the other ways to Calculate Characteristic Impedance?

Here are the different ways to Calculate Characteristic Impedance-

Characteristic Impedance=Incident Voltage/Incident Current
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)

Can the Characteristic Impedance using Transmitted Voltage be negative?

Yes, the Characteristic Impedance using Transmitted Voltage, measured in Electric Resistance can be negative.

Which unit is used to measure Characteristic Impedance using Transmitted Voltage?

Characteristic Impedance using Transmitted Voltage is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Characteristic Impedance using Transmitted Voltage can be measured.

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Characteristic Impedance using Transmitted Voltage Formula

​GoCharacteristic Impedance (Line SC) Formula

​GoCharacteristic Impedance using Transmitted Current Formula

Characteristic Impedance using Transmitted Voltage Example

Characteristic Impedance using Transmitted Voltage Solution

Characteristic Impedance using Transmitted Voltage Formula Elements

Other Formulas to find Characteristic Impedance

Other formulas in Transient category

How to Evaluate Characteristic Impedance using Transmitted Voltage?

FAQs on Characteristic Impedance using Transmitted Voltage

Variable Name

GoCharacteristic Impedance (Line SC) Formula

GoCharacteristic Impedance using Transmitted Current Formula