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Length is defined as the end to end distance of the conductor used in a long transmission line. Check FAQs
L=acosh(D)γ
L - Length?D - D Parameter?γ - Propagation Constant?

Length using D Parameter (LTL) Example

With values
With units
Only example

Here is how the Length using D Parameter (LTL) equation looks like with Values.

Here is how the Length using D Parameter (LTL) equation looks like with Units.

Here is how the Length using D Parameter (LTL) equation looks like.

3Edit=acosh(15Edit)1Edit
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Length using D Parameter (LTL) Solution

Follow our step by step solution on how to calculate Length using D Parameter (LTL)?

FIRST Step Consider the formula
L=acosh(D)γ
Next Step Substitute values of Variables
L=acosh(15)1
Next Step Prepare to Evaluate
L=acosh(15)1
Next Step Evaluate
L=2.71960244559622m
LAST Step Rounding Answer
L=3m

Length using D Parameter (LTL) Formula Elements

Variables
Functions
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.
D Parameter
D parameter is a generalized line constant in a transmission line.
Symbol: D
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
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.
cosh
The hyperbolic cosine function is a mathematical function that is defined as the ratio of the sum of the exponential functions of x and negative x to 2.
Syntax: cosh(Number)
acosh
Hyperbolic cosine function, is a function that takes a real number as an input and returns the angle whose hyperbolic cosine is that number.
Syntax: acosh(Number)

Other Formulas to find Length

​Go Length using C Parameter (LTL)
L=asinh(CZ0)γ
​Go Length using A Parameter (LTL)
L=acosh(A)γ
​Go Length using B Parameter (LTL)
L=asinh(BZ0)γ

Other formulas in Line Parameters category

​Go Propagation Constant using A Parameter (LTL)
γ=acosh(A)L
​Go Propagation Constant using B Parameter (LTL)
γ=asinh(BZ0)L
​Go Propagation Constant (LTL)
γ=YZ
​Go Propagation Constant using C Parameter (LTL)
γ=asinh(CZ0)L

How to Evaluate Length using D Parameter (LTL)?

Length using D Parameter (LTL) evaluator uses Length = acosh(D Parameter)/Propagation Constant to evaluate the Length, The Length using D Parameter (LTL) formula is defined as the total distance between two line conductors. Length is denoted by L symbol.

How to evaluate Length using D Parameter (LTL) using this online evaluator? To use this online evaluator for Length using D Parameter (LTL), enter D Parameter (D) & Propagation Constant (γ) and hit the calculate button.

FAQs on Length using D Parameter (LTL)

What is the formula to find Length using D Parameter (LTL)?
The formula of Length using D Parameter (LTL) is expressed as Length = acosh(D Parameter)/Propagation Constant. Here is an example- 2.100499 = acosh(14.59)/1.24.
How to calculate Length using D Parameter (LTL)?
With D Parameter (D) & Propagation Constant (γ) we can find Length using D Parameter (LTL) using the formula - Length = acosh(D Parameter)/Propagation Constant. This formula also uses Hyperbolic Cosine (cosh), Inverse Hyperbolic Cosine (acosh) function(s).
What are the other ways to Calculate Length?
Here are the different ways to Calculate Length-
  • Length=asinh(C Parameter*Characteristic Impedance)/Propagation ConstantOpenImg
  • Length=acosh(A Parameter)/Propagation ConstantOpenImg
  • Length=asinh(B Parameter/Characteristic Impedance)/Propagation ConstantOpenImg
Can the Length using D Parameter (LTL) be negative?
No, the Length using D Parameter (LTL), measured in Length cannot be negative.
Which unit is used to measure Length using D Parameter (LTL)?
Length using D Parameter (LTL) is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length using D Parameter (LTL) can be measured.
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