Characteristic Impedance using C Parameter (LTL) Calculator

✖C parameter is a generalized line constant. also known as an open circuit conductance in a transmission line.ⓘ C Parameter [C]			+10% -10%
✖Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.ⓘ Propagation Constant [γ]			+10% -10%
✖Length is defined as the end to end distance of the conductor used in a long transmission line.ⓘ Length [L]			+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 using C Parameter (LTL) [Z₀]

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Characteristic Impedance using C Parameter (LTL) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Characteristic Impedance = 1/C Parameter*sinh(Propagation Constant*Length)
Z₀ = 1/C*sinh(γ*L)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sinh(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.
C Parameter - (Measured in Siemens) - C parameter is a generalized line constant. also known as an open circuit conductance in a transmission line.
Propagation Constant - Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line.
Length - (Measured in Meter) - Length is defined as the end to end distance of the conductor used in a long transmission line.

STEP 1: Convert Input(s) to Base Unit

C Parameter: 0.421 Siemens --> 0.421 Siemens No Conversion Required
Propagation Constant: 1.24 --> No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z₀ = 1/C*sinh(γ*L) --> 1/0.421*sinh(1.24*3)

Evaluating ... ...

Z₀ = 48.9788125187234

STEP 3: Convert Result to Output's Unit

48.9788125187234 Ohm --> No Conversion Required

FINAL ANSWER

48.9788125187234 ≈ 48.97881 Ohm <-- Characteristic Impedance

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Power System » Transmission Lines » Long Transmission Line » Impedance and Admittance » Characteristic Impedance using C Parameter (LTL)

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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 using C Parameter (LTL) Formula

LaTeX Go

Characteristic Impedance = 1/C Parameter*sinh(Propagation Constant*Length)
Z₀ = 1/C*sinh(γ*L)

What are the 4 parameters of a line?

The transmission line has mainly four parameters, resistance, inductance, capacitance, and shunt conductance. These parameters are uniformly distributed along the line. Hence, it is also called the distributed parameter of the transmission line.

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

Characteristic Impedance using C Parameter (LTL) calculator uses Characteristic Impedance = 1/C Parameter*sinh(Propagation Constant*Length) to calculate 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 calculate Characteristic Impedance using C Parameter (LTL) using this online calculator? To use this online calculator for Characteristic Impedance using C Parameter (LTL), enter C Parameter (C), Propagation Constant (γ) & Length (L) and hit the calculate button. Here is how the Characteristic Impedance using C Parameter (LTL) calculation can be explained with given input values -> 82.48032 = 1/0.421*sinh(1.24*3).

FAQ

What is Characteristic Impedance using C Parameter (LTL)?

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 and is represented as Z₀ = 1/C*sinh(γ*L) or Characteristic Impedance = 1/C Parameter*sinh(Propagation Constant*Length). C parameter is a generalized line constant. also known as an open circuit conductance in a transmission line, Propagation Constant is defined as the measure of the change in amplitude and phase per unit distance in a transmission line & Length is defined as the end to end distance of the conductor used in a long transmission line.

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

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 is calculated using Characteristic Impedance = 1/C Parameter*sinh(Propagation Constant*Length). To calculate Characteristic Impedance using C Parameter (LTL), you need C Parameter (C), Propagation Constant (γ) & Length (L). With our tool, you need to enter the respective value for C Parameter, Propagation Constant & Length 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 C Parameter, Propagation Constant & Length. 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 = sqrt(Impedance/Admittance)
Characteristic Impedance = (Receiving End Voltage*sinh(Propagation Constant*Length))/(Sending End Current-Receiving End Current*cosh(Propagation Constant*Length))

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