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 00.008 seconds)

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Impedance and Admittance Calculators

Characteristic Impedance using B Parameter (LTL)
​ LaTeX ​ Go Characteristic Impedance = B Parameter/(sinh(Propagation Constant*Length))
Characteristic Impedance using C Parameter (LTL)
​ LaTeX ​ Go Characteristic Impedance = 1/C Parameter*sinh(Propagation Constant*Length)
Impedance using Characteristic Impedance (LTL)
​ LaTeX ​ Go Impedance = Characteristic Impedance^2*Admittance
Impedance using Propagation Constant (LTL)
​ LaTeX ​ Go Impedance = Propagation Constant^2/Admittance

Characteristic Impedance (LTL) Formula

​LaTeX ​Go
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 3 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))
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