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Characteristic Impedance using Transmitted Coefficient of 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 = τ i \cdot \frac{I l}{2 - τ i}

Z₀ - Characteristic Impedance?τ_i - Transmission Coefficient of Current?I_l - Load Impedance?

Characteristic Impedance using Transmitted Coefficient of Current Example

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Here is how the Characteristic Impedance using Transmitted Coefficient of Current equation looks like with Values.

Here is how the Characteristic Impedance using Transmitted Coefficient of Current equation looks like with Units.

Here is how the Characteristic Impedance using Transmitted Coefficient of Current equation looks like.

-11.984 = 7 \cdot \frac{8.56}{2 - 7}

-11.984Ω = 7 \cdot \frac{8.56Ω}{2 - 7}

-11.984 = 7 \cdot \frac{8.56}{2 - 7}

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Characteristic Impedance using Transmitted Coefficient of Current Solution

Follow our step by step solution on how to calculate Characteristic Impedance using Transmitted Coefficient of Current?

FIRST Step Consider the formula

Z 0 = τ i \cdot \frac{I l}{2 - τ i}

Next Step Substitute values of Variables

∴

Z 0 = 7 \cdot \frac{8.56Ω}{2 - 7}

Next Step Prepare to Evaluate

∴

Z 0 = 7 \cdot \frac{8.56}{2 - 7}

LAST Step Evaluate

∴

Z 0 = -11.984Ω

Characteristic Impedance using Transmitted Coefficient of Current 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

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.

Symbol: τ_i

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Transmission Coefficient of Current

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

Other formulas in Receiving End Connected To A Resistance Or Cable category

Go Load Impedance using Transmitted Coefficient of Voltage

I l = Z 0 \cdot \frac{τ v}{2 - τ v}

Go Load Impedance using Transmitted Coefficient of Current

I l = Z 0 \cdot \frac{2 - τ i}{τ i}

How to Evaluate Characteristic Impedance using Transmitted Coefficient of Current?

Characteristic Impedance using Transmitted Coefficient of Current evaluator uses Characteristic Impedance = Transmission Coefficient of Current*Load Impedance/(2-Transmission Coefficient of Current) to evaluate the Characteristic Impedance, The Characteristic Impedance using Transmitted Coefficient of Current 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 Coefficient of Current using this online evaluator? To use this online evaluator for Characteristic Impedance using Transmitted Coefficient of Current, enter Transmission Coefficient of Current (τ_i) & Load Impedance (I_l) and hit the calculate button.

FAQs on Characteristic Impedance using Transmitted Coefficient of Current

What is the formula to find Characteristic Impedance using Transmitted Coefficient of Current?

The formula of Characteristic Impedance using Transmitted Coefficient of Current is expressed as Characteristic Impedance = Transmission Coefficient of Current*Load Impedance/(2-Transmission Coefficient of Current). Here is an example- -11.984 = 7*8.56/(2-7).

How to calculate Characteristic Impedance using Transmitted Coefficient of Current?

With Transmission Coefficient of Current (τ_i) & Load Impedance (I_l) we can find Characteristic Impedance using Transmitted Coefficient of Current using the formula - Characteristic Impedance = Transmission Coefficient of Current*Load Impedance/(2-Transmission Coefficient of Current).

Can the Characteristic Impedance using Transmitted Coefficient of Current be negative?

Yes, the Characteristic Impedance using Transmitted Coefficient of Current, measured in Electric Resistance can be negative.

Which unit is used to measure Characteristic Impedance using Transmitted Coefficient of Current?

Characteristic Impedance using Transmitted Coefficient of Current 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 Coefficient of Current can be measured.

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Characteristic Impedance using Transmitted Coefficient of Current Formula

Characteristic Impedance using Transmitted Coefficient of Current Example

Characteristic Impedance using Transmitted Coefficient of Current Solution

Characteristic Impedance using Transmitted Coefficient of Current Formula Elements

Other formulas in Receiving End Connected To A Resistance Or Cable category

How to Evaluate Characteristic Impedance using Transmitted Coefficient of Current?

FAQs on Characteristic Impedance using Transmitted Coefficient of Current

Variable Name