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Characteristic Impedance (LTL) Formula

GoCharacteristic Impedance using B Parameter (LTL) Formula

GoCharacteristic Impedance using C Parameter (LTL) Formula

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Characteristic Impedanceis defined as the ratio of the amplitudes of voltage and current of a single wave propagating along the transmission line. Check FAQs

Z 0 = \sqrt{\frac{Z}{Y}}

Z₀ - Characteristic Impedance?Z - Impedance?Y - Admittance?

Characteristic Impedance (LTL) Example

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Here is how the Characteristic Impedance (LTL) equation looks like with Values.

Here is how the Characteristic Impedance (LTL) equation looks like with Units.

Here is how the Characteristic Impedance (LTL) equation looks like.

48.9898 = \sqrt{\frac{60}{0.025}}

48.9898Ω = \sqrt{\frac{60Ω}{0.025S}}

48.9898 = \sqrt{\frac{60}{0.025}}

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Characteristic Impedance (LTL) Solution

Follow our step by step solution on how to calculate Characteristic Impedance (LTL)?

FIRST Step Consider the formula

Z 0 = \sqrt{\frac{Z}{Y}}

Next Step Substitute values of Variables

∴

Z 0 = \sqrt{\frac{60Ω}{0.025S}}

Next Step Prepare to Evaluate

∴

Z 0 = \sqrt{\frac{60}{0.025}}

Next Step Evaluate

∴

Z 0 = 48.9897948556636Ω

LAST Step Rounding Answer

∴

Z 0 = 48.9898Ω

Characteristic Impedance (LTL) Formula Elements

Variables

Functions

Characteristic Impedance

Characteristic Impedanceis defined as the ratio of the amplitudes of voltage and current of a single wave propagating along the transmission line.

Symbol: Z₀

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Characteristic Impedance

Impedance

Impedance is defined as the amount of opposition faced by the direct or alternating current when it passes through a conductor component, circuit, or system.

Symbol: Z

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Impedance

Admittance

Admittance is the mathematical inverse of the impedance in a long transmission line.

Symbol: Y

Measurement: Electric ConductanceUnit: S

Note: Value should be greater than 0.

Formulas to find Admittance

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Characteristic Impedance

Go Characteristic Impedance using B Parameter (LTL)

Z 0 = \frac{B}{\sinh (γ \cdot L)}

Go Characteristic Impedance using C Parameter (LTL)

Z 0 = \frac{1}{C} \cdot \sinh (γ \cdot L)

Go Characteristic Impedance using Sending End Current (LTL)

Z 0 = \frac{V r \cdot \sinh (γ \cdot L)}{I s - I r \cdot \cosh (γ \cdot L)}

Go Characteristic Impedance using Sending End Voltage (LTL)

Z 0 = \frac{V s - V r \cdot \cosh (γ \cdot L)}{\sinh (γ \cdot L) \cdot I r}

Other formulas in Impedance and Admittance category

Go Impedance using Characteristic Impedance (LTL)

Z = {Z 0}^{2} \cdot Y

Go Impedance using Propagation Constant (LTL)

Z = \frac{γ^{2}}{Y}

Go Surge Impedance (LTL)

Zs = \sqrt{\frac{L Henry}{C Farad}}

Go Admittance using Characteristic Impedance (LTL)

Y = \frac{Z}{{Z 0}^{2}}

How to Evaluate Characteristic Impedance (LTL)?

Characteristic Impedance (LTL) evaluator uses Characteristic Impedance = sqrt(Impedance/Admittance) to evaluate the Characteristic Impedance, The Characteristic Impedance (LTL) 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 (LTL) using this online evaluator? To use this online evaluator for Characteristic Impedance (LTL), enter Impedance (Z) & Admittance (Y) and hit the calculate button.

FAQs on Characteristic Impedance (LTL)

What is the formula to find Characteristic Impedance (LTL)?

The formula of Characteristic Impedance (LTL) is expressed as Characteristic Impedance = sqrt(Impedance/Admittance). Here is an example- 48.98979 = sqrt(60/0.025).

How to calculate Characteristic Impedance (LTL)?

With Impedance (Z) & Admittance (Y) we can find Characteristic Impedance (LTL) using the formula - Characteristic Impedance = sqrt(Impedance/Admittance). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Characteristic Impedance?

Here are the different ways to Calculate Characteristic Impedance-

Characteristic Impedance=B Parameter/(sinh(Propagation Constant*Length))
Characteristic Impedance=1/C Parameter*sinh(Propagation Constant*Length)
Characteristic Impedance=(Receiving End Voltage*sinh(Propagation Constant*Length))/(Sending End Current-Receiving End Current*cosh(Propagation Constant*Length))

Can the Characteristic Impedance (LTL) be negative?

No, the Characteristic Impedance (LTL), measured in Electric Resistance cannot be negative.

Which unit is used to measure Characteristic Impedance (LTL)?

Characteristic Impedance (LTL) 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 (LTL) can be measured.

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Characteristic Impedance (LTL) Formula

​GoCharacteristic Impedance using B Parameter (LTL) Formula

​GoCharacteristic Impedance using C Parameter (LTL) Formula

Characteristic Impedance (LTL) Example

Characteristic Impedance (LTL) Solution

Characteristic Impedance (LTL) Formula Elements

Other Formulas to find Characteristic Impedance

Other formulas in Impedance and Admittance category

How to Evaluate Characteristic Impedance (LTL)?

FAQs on Characteristic Impedance (LTL)

Variable Name

GoCharacteristic Impedance using B Parameter (LTL) Formula

GoCharacteristic Impedance using C Parameter (LTL) Formula