Characteristic Impedance (LTL) Calculator

✖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.ⓘ Impedance [Z]			+10% -10%
✖Admittance is the mathematical inverse of the impedance in a long transmission line.ⓘ Admittance [Y]			+10% -10%

✖Characteristic Impedanceis defined as the ratio of the amplitudes of voltage and current of a single wave propagating along the transmission line.ⓘ Characteristic Impedance (LTL) [Z₀]

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Formula

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Characteristic Impedance (LTL)

Formula

`"Z"_{"0"} = sqrt("Z"/"Y")`

Example

`"48.98979Ω"=sqrt("60Ω"/"0.025S")`

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Characteristic Impedance (LTL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Impedance = sqrt(Impedance/Admittance)
Z₀ = sqrt(Z/Y)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Characteristic Impedance - (Measured in Ohm) - Characteristic Impedanceis defined as the ratio of the amplitudes of voltage and current of a single wave propagating along the transmission line.
Impedance - (Measured in Ohm) - 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.
Admittance - (Measured in Siemens) - Admittance is the mathematical inverse of the impedance in a long transmission line.

STEP 1: Convert Input(s) to Base Unit

Impedance: 60 Ohm --> 60 Ohm No Conversion Required
Admittance: 0.025 Siemens --> 0.025 Siemens No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z₀ = sqrt(Z/Y) --> sqrt(60/0.025)

Evaluating ... ...

Z₀ = 48.9897948556636

STEP 3: Convert Result to Output's Unit

48.9897948556636 Ohm --> No Conversion Required

FINAL ANSWER

48.9897948556636 ≈ 48.98979 Ohm <-- Characteristic Impedance

(Calculation completed in 00.020 seconds)

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< 12 Impedance & Admittance Calculators

Characteristic Impedance using Sending End Current (LTL)

Go Characteristic Impedance = (Receiving End Voltage*sinh(Propagation Constant*Length))/(Sending End Current-Receiving End Current*cosh(Propagation Constant*Length))

Characteristic Impedance using Sending End Voltage (LTL)

Go Characteristic Impedance = (Sending End Voltage-Receiving End Voltage*cosh(Propagation Constant*Length))/(sinh(Propagation Constant*Length)*Receiving End Current)

Characteristic Impedance using B Parameter (LTL)

Go Characteristic Impedance = B Parameter/(sinh(Propagation Constant*Length))

Characteristic Impedance using C Parameter (LTL)

Go Characteristic Impedance = 1/C Parameter*sinh(Propagation Constant*Length)

Characteristic Impedance (LTL)

Go Characteristic Impedance = sqrt(Impedance/Admittance)

Surge Impedance (LTL)

Go Surge Impedance = sqrt(Inductance/Capacitance)

Admittance using Characteristic Impedance (LTL)

Go Admittance = Impedance/(Characteristic Impedance^2)

Impedance using Characteristic Impedance (LTL)

Go Impedance = Characteristic Impedance^2*Admittance

Admittance using Propagation Constant (LTL)

Go Admittance = (Propagation Constant^2)/Impedance

Impedance using Propagation Constant (LTL)

Go Impedance = Propagation Constant^2/Admittance

Capacitance using Surge Impedance (LTL)

Go Capacitance = Inductance/(Surge Impedance^2)

Inductance using Surge Impedance (LTL)

Go Inductance = Capacitance*Surge Impedance^2

Characteristic Impedance (LTL) Formula

Characteristic Impedance = sqrt(Impedance/Admittance)
Z₀ = sqrt(Z/Y)

Which is the type of long transmission line?

A power transmission line with its effective length of around 250 Kms or above is referred to as a long transmission line. The line constants are uniformly distributed over the entire length of the line.

How to Calculate Characteristic Impedance (LTL)?

Characteristic Impedance (LTL) calculator uses Characteristic Impedance = sqrt(Impedance/Admittance) to calculate 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 calculate Characteristic Impedance (LTL) using this online calculator? To use this online calculator for Characteristic Impedance (LTL), enter Impedance (Z) & Admittance (Y) and hit the calculate button. Here is how the Characteristic Impedance (LTL) calculation can be explained with given input values -> 48.98979 = sqrt(60/0.025).

FAQ

What is Characteristic Impedance (LTL)?

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 and is represented as Z₀ = sqrt(Z/Y) or Characteristic Impedance = sqrt(Impedance/Admittance). 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 & Admittance is the mathematical inverse of the impedance in a long transmission line.

How to calculate Characteristic Impedance (LTL)?

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 is calculated using Characteristic Impedance = sqrt(Impedance/Admittance). To calculate Characteristic Impedance (LTL), you need Impedance (Z) & Admittance (Y). With our tool, you need to enter the respective value for Impedance & Admittance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Characteristic Impedance?

In this formula, Characteristic Impedance uses Impedance & Admittance. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

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