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Maximum Usable frequency is the highest radio frequency that can be used for transmission between two points via reflection from the ionosphere. Check FAQs
Fmuf=fccos(θi)
Fmuf - Maximum Usable Frequency?fc - Critical Frequency?θi - Angle of Incidence?

Maximum Usable Frequency in F-region Example

With values
With units
Only example

Here is how the Maximum Usable Frequency in F-region equation looks like with Values.

Here is how the Maximum Usable Frequency in F-region equation looks like with Units.

Here is how the Maximum Usable Frequency in F-region equation looks like.

420.0435Edit=45Editcos(83.85Edit)
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Maximum Usable Frequency in F-region Solution

Follow our step by step solution on how to calculate Maximum Usable Frequency in F-region?

FIRST Step Consider the formula
Fmuf=fccos(θi)
Next Step Substitute values of Variables
Fmuf=45Hzcos(83.85°)
Next Step Convert Units
Fmuf=45Hzcos(1.4635rad)
Next Step Prepare to Evaluate
Fmuf=45cos(1.4635)
Next Step Evaluate
Fmuf=420.04352759915Hz
LAST Step Rounding Answer
Fmuf=420.0435Hz

Maximum Usable Frequency in F-region 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: Fmuf
Measurement: FrequencyUnit: Hz
Note: Value can be positive or negative.
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: fc
Measurement: FrequencyUnit: Hz
Note: Value should be greater than 0.
Angle of Incidence
The Angle of incidence is the angle formed at the point of incidence between the incident ray and the normal is called the angle of incidence at layer of ionosphere.
Symbol: θi
Measurement: AngleUnit: °
Note: Value can be positive or negative.
cos
Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.
Syntax: cos(Angle)

Other Formulas to find Maximum Usable Frequency

​Go Maximum Usable Frequency
Fmuf=fc1+(Pd2h)2

Other formulas in Wave Propagation category

​Go Critical Frequency of Ionosphere
Fc=9Nmax
​Go Electron Density
Nmax=(1-ηr2)fo281
​Go Refractive Index of Ionosphere
ηr=1-(81Nmaxfo2)
​Go Skip Distance
Pd=2href(Fmuffc)2-1

How to Evaluate Maximum Usable Frequency in F-region?

Maximum Usable Frequency in F-region evaluator uses Maximum Usable Frequency = Critical Frequency/cos(Angle of Incidence) to evaluate the Maximum Usable Frequency, Maximum Usable Frequency in F-region formula region refers to the highest frequency that can be effectively used for long-distance radio communication by reflecting off the F-region of the Earth's ionosphere. The F-region is the highest ionospheric layer, also known as the F2-layer, located approximately 200-400 km above the Earth's surface. Maximum Usable Frequency is denoted by Fmuf symbol.

How to evaluate Maximum Usable Frequency in F-region using this online evaluator? To use this online evaluator for Maximum Usable Frequency in F-region, enter Critical Frequency (fc) & Angle of Incidence i) and hit the calculate button.

FAQs on Maximum Usable Frequency in F-region

What is the formula to find Maximum Usable Frequency in F-region?
The formula of Maximum Usable Frequency in F-region is expressed as Maximum Usable Frequency = Critical Frequency/cos(Angle of Incidence). Here is an example- 420.0435 = 45/cos(1.46345857779697).
How to calculate Maximum Usable Frequency in F-region?
With Critical Frequency (fc) & Angle of Incidence i) we can find Maximum Usable Frequency in F-region using the formula - Maximum Usable Frequency = Critical Frequency/cos(Angle of Incidence). This formula also uses Cosine (cos) 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*sqrt(1+(Skip Distance/(2*Ionospheric Layer Height))^2)OpenImg
Can the Maximum Usable Frequency in F-region be negative?
Yes, the Maximum Usable Frequency in F-region, measured in Frequency can be negative.
Which unit is used to measure Maximum Usable Frequency in F-region?
Maximum Usable Frequency in F-region 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 in F-region can be measured.
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