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Height of Layer Formula

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Ionospheric Layer Height is defined as the height of ionospheric layer. Check FAQs

h = \frac{P d}{2 \cdot \sqrt{(\frac{{F muf}^{2}}{{f c}^{2}}) - 1}}

h - Ionospheric Layer Height?P_d - Skip Distance?F_muf - Maximum Usable Frequency?f_c - Critical Frequency?

Height of Layer Example

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Here is how the Height of Layer equation looks like with Values.

Here is how the Height of Layer equation looks like with Units.

Here is how the Height of Layer equation looks like.

1169.9849 = \frac{21714}{2 \cdot \sqrt{(\frac{420^{2}}{45^{2}}) - 1}}

1169.9849m = \frac{21714m}{2 \cdot \sqrt{(\frac{{420Hz}^{2}}{{45Hz}^{2}}) - 1}}

1169.9849 = \frac{21714}{2 \cdot \sqrt{(\frac{420^{2}}{45^{2}}) - 1}}

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Height of Layer Solution

Follow our step by step solution on how to calculate Height of Layer?

FIRST Step Consider the formula

h = \frac{P d}{2 \cdot \sqrt{(\frac{{F muf}^{2}}{{f c}^{2}}) - 1}}

Next Step Substitute values of Variables

∴

h = \frac{21714m}{2 \cdot \sqrt{(\frac{{420Hz}^{2}}{{45Hz}^{2}}) - 1}}

Next Step Prepare to Evaluate

∴

h = \frac{21714}{2 \cdot \sqrt{(\frac{420^{2}}{45^{2}}) - 1}}

Next Step Evaluate

∴

h = 1169.98485846282m

LAST Step Rounding Answer

∴

h = 1169.9849m

Height of Layer Formula Elements

Variables

Functions

Ionospheric Layer Height

Ionospheric Layer Height is defined as the height of ionospheric layer.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ionospheric Layer Height

Skip Distance

Skip distance is defined as the distance b/w transmitting antenna and a point where that wave is first received after reflection from ionosphere.

Symbol: P_d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Skip Distance

Maximum Usable Frequency

Maximum Usable frequency is the highest radio frequency that can be used for transmission between two points via reflection from the ionosphere.

Symbol: F_muf

Measurement: FrequencyUnit: Hz

Note: Value can be positive or negative.

Formulas to find Maximum Usable Frequency

Critical Frequency

Critical frequency is the highest magnitude of frequency above which the waves penetrate the ionosphere and below which the waves are reflected back from the ionosphere.

Symbol: f_c

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Critical Frequency

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.

Syntax: sqrt(Number)

Other formulas in Wave Propagation category

Go Critical Frequency of Ionosphere

F c = 9 \cdot \sqrt{N max}

Go Electron Density

N max = \frac{(1 - {η r}^{2}) \cdot {f o}^{2}}{81}

Go Refractive Index of Ionosphere

η r = \sqrt{1 - (\frac{81 \cdot N max}{{f o}^{2}})}

Go Maximum Usable Frequency in F-region

F muf = \frac{f c}{\cos (θ i)}

How to Evaluate Height of Layer?

Height of Layer evaluator uses Ionospheric Layer Height = Skip Distance/(2*sqrt((Maximum Usable Frequency^2/Critical Frequency^2)-1)) to evaluate the Ionospheric Layer Height, The Height of Layer formula is defined as extends from Earth's surface to an average height to ionosphere where the wave has to propagate. Ionospheric Layer Height is denoted by h symbol.

How to evaluate Height of Layer using this online evaluator? To use this online evaluator for Height of Layer, enter Skip Distance (P_d), Maximum Usable Frequency (F_muf) & Critical Frequency (f_c) and hit the calculate button.

FAQs on Height of Layer

What is the formula to find Height of Layer?

The formula of Height of Layer is expressed as Ionospheric Layer Height = Skip Distance/(2*sqrt((Maximum Usable Frequency^2/Critical Frequency^2)-1)). Here is an example- 1169.985 = 21714/(2*sqrt((420^2/45^2)-1)).

How to calculate Height of Layer?

With Skip Distance (P_d), Maximum Usable Frequency (F_muf) & Critical Frequency (f_c) we can find Height of Layer using the formula - Ionospheric Layer Height = Skip Distance/(2*sqrt((Maximum Usable Frequency^2/Critical Frequency^2)-1)). This formula also uses Square Root (sqrt) function(s).

Can the Height of Layer be negative?

No, the Height of Layer, measured in Length cannot be negative.

Which unit is used to measure Height of Layer?

Height of Layer is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Layer can be measured.

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Height of Layer Formula

Height of Layer Example

Height of Layer Solution

Height of Layer Formula Elements

Other formulas in Wave Propagation category

How to Evaluate Height of Layer?

FAQs on Height of Layer

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