RF Power Conversion Calculation, Formula, Example

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RF Power Conversion
RF Power Conversion

RF Power Conversion Calculator

RF power can be presented in terms of watts or in terms of decibels. The decibel unit was invented because the human ear perceives sound intensity logarithmically. It is also much easier to calculate total gains or losses if the decibel unit is used. The watt is a much more convenient unit used by engineers when it is needed to know how much power an equipment is emitting or receiving.

As an RF signal propagates away from a transmitter the power density reduces conserving the power in the EM wave. In the absence of obstacles and without atmospheric attenuation the total power passing through the surface of a sphere centered on a transmitter is equal to the power transmitted. Since the area of the sphere of radius rr is 4πr24πr2, the power density, e.g. in W/m2W/m2, at a distance rr drops off as 1/r21/r2. With obstacles the EM wave can be further attenuated.

Formula

Where

PdBm= Power in decibel milliwatts

PdBW = Power in decibel watts

PmW = Power in milliwatts

Example

Example 1

Let’s calculate power in decibel milliwatts by using RF power. Consider power in millivolts PmW is 30 milliwatts.

Let’s apply formula

PdBm=10log10PmW

PdBm = 10log10*30

PdBm  = 14.7712 dBm

Example 2

Let’s calculate power in decibel watts by using RF power. Consider power in watts Pis 25.

Let’s apply formula

PdBW=10log10PW

PdBW = 10log10*25

PdBW = 43.9794

Example 3

Let’s calculate power in milliwatts by using RF power. Consider power in decibel milliwatts PdBm = 25.

Let’s apply formula

PmW =10

PmW = 10

PmW = 316.2278

Example 4

Let’s calculate power in watts by using RF power. Consider power in decibel watts PdBW = 30.

Let’s apply formula

PW=10

P= 10

P= 1e+300

READ HERE  Buoyancy Formula - Definition, Equations, Examples

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