Rain Attenuation in Decibels Formula

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Rain attenuation is a function of rain rate. By rain rate is meant the rate at which rainwater would accumulate in a rain gauge. Check FAQs
Ap=αRpbLslantrp
Ap - Rain Attenuation?α - Specific Attenuation?Rp - Rain Rate?b - Specific Attenuation Coefficient?Lslant - Slant Length?rp - Reduction Factor?

Rain Attenuation in Decibels Example

With values
With units
Only example

Here is how the Rain Attenuation in Decibels equation looks like with Values.

Here is how the Rain Attenuation in Decibels equation looks like with Units.

Here is how the Rain Attenuation in Decibels equation looks like.

0.7803Edit=0.03Edit10Edit1.332Edit14.117Edit0.85Edit
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Rain Attenuation in Decibels Solution

Follow our step by step solution on how to calculate Rain Attenuation in Decibels?

FIRST Step Consider the formula
Ap=αRpbLslantrp
Next Step Substitute values of Variables
Ap=0.03dB10mm1.332(dB/km)/(g/m³)14.117km0.85
Next Step Convert Units
Ap=0.03dB0.01m1.332(dB/m)/(kg/m³)14117m0.85
Next Step Prepare to Evaluate
Ap=0.030.011.332141170.85
Next Step Evaluate
Ap=0.78033771061736dB
LAST Step Rounding Answer
Ap=0.7803dB

Rain Attenuation in Decibels Formula Elements

Variables
Rain Attenuation
Rain attenuation is a function of rain rate. By rain rate is meant the rate at which rainwater would accumulate in a rain gauge.
Symbol: Ap
Measurement: SoundUnit: dB
Note: Value should be greater than 0.
Specific Attenuation
Specific attenuation refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an Earth station.
Symbol: α
Measurement: SoundUnit: dB
Note: Value can be positive or negative.
Rain Rate
A rain rate of 0.001 percent means that the rain rate would be exceeded for 0.001 percent of a year.
Symbol: Rp
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Specific Attenuation Coefficient
Specific Attenuation Coefficient refers to the loss of signal power due to various atmospheric phenomena that affect the transmission of electromagnetic waves between a satellite and an Earth station.
Symbol: b
Measurement: Specific Attenuation CoefficientUnit: (dB/km)/(g/m³)
Note: Value should be greater than 0.
Slant Length
Slant Length refers to the length of path followed by the radio wave signal as it travels from the transmitting satellite to the receiving satellite ground station.
Symbol: Lslant
Measurement: LengthUnit: km
Note: Value should be greater than 0.
Reduction Factor
The reduction factor represents the factor by which the effective path length is reduced compared to the straight-line distance between the observer and the satellite.
Symbol: rp
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.

Other formulas in Radio Wave Propagation category

​Go Effective Path Length
Leff=Aα
​Go Earth Station Altitude
ho=hrain-Lslantsin(∠θel)
​Go Effective Path Length using Reduction Factor
Leff=Lslantrp
​Go Rain Height
hrain=Lslantsin(∠θel)+ho

How to Evaluate Rain Attenuation in Decibels?

Rain Attenuation in Decibels evaluator uses Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor to evaluate the Rain Attenuation, The Rain Attenuation in Decibels formula is defined as a function of rain rate. By rain rate is meant the rate at which rainwater would accumulate in a rain gauge situated at the ground in the region of interest. Rain Attenuation is denoted by Ap symbol.

How to evaluate Rain Attenuation in Decibels using this online evaluator? To use this online evaluator for Rain Attenuation in Decibels, enter Specific Attenuation (α), Rain Rate (Rp), Specific Attenuation Coefficient (b), Slant Length (Lslant) & Reduction Factor (rp) and hit the calculate button.

FAQs on Rain Attenuation in Decibels

What is the formula to find Rain Attenuation in Decibels?
The formula of Rain Attenuation in Decibels is expressed as Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor. Here is an example- 0.780338 = 0.03*0.01^1.332*14117*0.85.
How to calculate Rain Attenuation in Decibels?
With Specific Attenuation (α), Rain Rate (Rp), Specific Attenuation Coefficient (b), Slant Length (Lslant) & Reduction Factor (rp) we can find Rain Attenuation in Decibels using the formula - Rain Attenuation = Specific Attenuation*Rain Rate^Specific Attenuation Coefficient*Slant Length*Reduction Factor.
Can the Rain Attenuation in Decibels be negative?
No, the Rain Attenuation in Decibels, measured in Sound cannot be negative.
Which unit is used to measure Rain Attenuation in Decibels?
Rain Attenuation in Decibels is usually measured using the Decibel[dB] for Sound. Bel[dB], Neper[dB] are the few other units in which Rain Attenuation in Decibels can be measured.
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