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Characteristic Impedance using C Parameter (LTL) Formula

GoCharacteristic Impedance using B Parameter (LTL) Formula

GoCharacteristic Impedance (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 = \frac{1}{C} \cdot \sinh (γ \cdot L)

Z₀ - Characteristic Impedance?C - C Parameter?γ - Propagation Constant?L - Length?

Characteristic Impedance using C Parameter (LTL) Example

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

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

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

48.9788 = \frac{1}{0.421} \cdot \sinh (1.24 \cdot 3)

48.9788Ω = \frac{1}{0.421S} \cdot \sinh (1.24 \cdot 3m)

48.9788 = \frac{1}{0.421} \cdot \sinh (1.24 \cdot 3)

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Characteristic Impedance using C Parameter (LTL) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Z 0 = \frac{1}{0.421S} \cdot \sinh (1.24 \cdot 3m)

Next Step Prepare to Evaluate

∴

Z 0 = \frac{1}{0.421} \cdot \sinh (1.24 \cdot 3)

Next Step Evaluate

∴

Z 0 = 48.9788125187234Ω

LAST Step Rounding Answer

∴

Z 0 = 48.9788Ω

Characteristic Impedance using C Parameter (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

C Parameter

C parameter is a generalized line constant. also known as an open circuit conductance in a transmission line.

Symbol: C

Measurement: Electric ConductanceUnit: S

Note: Value should be greater than 0.

Formulas to find C Parameter

Propagation Constant

Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Propagation Constant

Length

Length is defined as the end to end distance of the conductor used in a long transmission line.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length

sinh

The hyperbolic sine function, also known as the sinh function, is a mathematical function that is defined as the hyperbolic analogue of the sine function.

Syntax: sinh(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 (LTL)

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

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 using C Parameter (LTL)?

Characteristic Impedance using C Parameter (LTL) evaluator uses Characteristic Impedance = 1/C Parameter*sinh(Propagation Constant*Length) to evaluate the Characteristic Impedance, The Characteristic Impedance using C Parameter (LTL) formula is defined as a uniform 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 C Parameter (LTL) using this online evaluator? To use this online evaluator for Characteristic Impedance using C Parameter (LTL), enter C Parameter (C), Propagation Constant (γ) & Length (L) and hit the calculate button.

FAQs on Characteristic Impedance using C Parameter (LTL)

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

The formula of Characteristic Impedance using C Parameter (LTL) is expressed as Characteristic Impedance = 1/C Parameter*sinh(Propagation Constant*Length). Here is an example- 82.48032 = 1/0.421*sinh(1.24*3).

How to calculate Characteristic Impedance using C Parameter (LTL)?

With C Parameter (C), Propagation Constant (γ) & Length (L) we can find Characteristic Impedance using C Parameter (LTL) using the formula - Characteristic Impedance = 1/C Parameter*sinh(Propagation Constant*Length). This formula also uses Hyperbolic Sine (sinh) 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=sqrt(Impedance/Admittance)
Characteristic Impedance=(Receiving End Voltage*sinh(Propagation Constant*Length))/(Sending End Current-Receiving End Current*cosh(Propagation Constant*Length))

Can the Characteristic Impedance using C Parameter (LTL) be negative?

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

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

Characteristic Impedance using C Parameter (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 using C Parameter (LTL) can be measured.

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Characteristic Impedance using C Parameter (LTL) Formula

​GoCharacteristic Impedance using B Parameter (LTL) Formula

​GoCharacteristic Impedance (LTL) Formula

Characteristic Impedance using C Parameter (LTL) Example

Characteristic Impedance using C Parameter (LTL) Solution

Characteristic Impedance using C Parameter (LTL) Formula Elements

Other Formulas to find Characteristic Impedance

Other formulas in Impedance and Admittance category

How to Evaluate Characteristic Impedance using C Parameter (LTL)?

FAQs on Characteristic Impedance using C Parameter (LTL)

Variable Name

GoCharacteristic Impedance using B Parameter (LTL) Formula

GoCharacteristic Impedance (LTL) Formula