FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Maximum Usable Frequency Formula

GoMaximum Usable Frequency in F-region Formula

Fx Copy

LaTeX Copy

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

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

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

Maximum Usable Frequency Example

With values

With units

Only example

Here is how the Maximum Usable Frequency equation looks like with Values.

Here is how the Maximum Usable Frequency equation looks like with Units.

Here is how the Maximum Usable Frequency equation looks like.

419.9999 = 45 \cdot \sqrt{1 + {(\frac{21714}{2 \cdot 1169.985})}^{2}}

419.9999Hz = 45Hz \cdot \sqrt{1 + {(\frac{21714m}{2 \cdot 1169.985m})}^{2}}

419.9999 = 45 \cdot \sqrt{1 + {(\frac{21714}{2 \cdot 1169.985})}^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electronics » Category

Antenna and Wave Propogation » fx Maximum Usable Frequency

Maximum Usable Frequency Solution

Follow our step by step solution on how to calculate Maximum Usable Frequency?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F muf = 45Hz \cdot \sqrt{1 + {(\frac{21714m}{2 \cdot 1169.985m})}^{2}}

Next Step Prepare to Evaluate

∴

F muf = 45 \cdot \sqrt{1 + {(\frac{21714}{2 \cdot 1169.985})}^{2}}

Next Step Evaluate

∴

F muf = 419.999949774394Hz

LAST Step Rounding Answer

∴

F muf = 419.9999Hz

Maximum Usable Frequency Formula Elements

Variables

Functions

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

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

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

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 to find Maximum Usable Frequency

Go Maximum Usable Frequency in F-region

F muf = \frac{f c}{\cos (θ i)}

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 Skip Distance

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

How to Evaluate Maximum Usable Frequency?

Maximum Usable Frequency evaluator uses Maximum Usable Frequency = Critical Frequency*sqrt(1+(Skip Distance/(2*Ionospheric Layer Height))^2) to evaluate the Maximum Usable Frequency, The Maximum Usable Frequency formula is defined as is the highest radio frequency that can be used for transmission between two points via reflection from the ionosphere. Maximum Usable Frequency is denoted by F_muf symbol.

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

FAQs on Maximum Usable Frequency

What is the formula to find Maximum Usable Frequency?

The formula of Maximum Usable Frequency is expressed as Maximum Usable Frequency = Critical Frequency*sqrt(1+(Skip Distance/(2*Ionospheric Layer Height))^2). Here is an example- 419.9999 = 45*sqrt(1+(21714/(2*1169.985))^2).

How to calculate Maximum Usable Frequency?

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

What are the other ways to Calculate Maximum Usable Frequency?

Here are the different ways to Calculate Maximum Usable Frequency-

Maximum Usable Frequency=Critical Frequency/cos(Angle of Incidence)

Can the Maximum Usable Frequency be negative?

Yes, the Maximum Usable Frequency, measured in Frequency can be negative.

Which unit is used to measure Maximum Usable Frequency?

Maximum Usable Frequency is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Maximum Usable Frequency can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Maximum Usable Frequency Formula

​GoMaximum Usable Frequency in F-region Formula

Maximum Usable Frequency Example

Maximum Usable Frequency Solution

Maximum Usable Frequency Formula Elements

Other Formulas to find Maximum Usable Frequency

Other formulas in Wave Propagation category

How to Evaluate Maximum Usable Frequency?

FAQs on Maximum Usable Frequency

Variable Name

GoMaximum Usable Frequency in F-region Formula